The difference of the sample means of two populations is 34. 6, and the standard deviation of the difference of the sample means is 11. 9.


The 95% confidence interval lies between -11. 9 -23. 8 -35. 7 -45. 4 and +11. 9 +23. 8 +35. 7 +45. 4.

help

Answers

Answer 1

The 95% confidence interval for the difference of the sample means is (10.8, 58.4).

The 95% confidence interval for the difference of the sample means is calculated as the point estimate (34.6) plus or minus the margin of error. The margin of error is determined by multiplying the standard deviation of the difference of the sample means (11.9) by the critical value corresponding to a 95% confidence level (1.96 for a large sample size).

The calculation results in a lower bound of 10.8 (34.6 - 23.8) and an upper bound of 58.4 (34.6 + 23.8). This means that we are 95% confident that the true difference in population means lies between 10.8 and 58.4.

Learn more about standard deviation here:

https://brainly.com/question/13498201

#SPJ11


Related Questions

If f(x)g(x)=x^2−16x−36, then which of the following is possible? f(x)=x−18 and g(x)=x+2 f(x)=x−12 and g(x)=x+3 f(x)=x+18 and g(x)=x−2 f(x)=x^2−12x and g(x)=−3x−36

Answers

The possible option is f(x) = x - 12 and g(x) = x + 3.

Given that f(x)g(x) = x^2 - 16x - 36, we need to find the values of f(x) and g(x) that satisfy this equation.

Let's substitute the possible option f(x) = x - 12 and g(x) = x + 3 into the equation and check if it holds true:

f(x)g(x) = (x - 12)(x + 3)

          = x^2 - 12x + 3x - 36

          = x^2 - 9x - 36

Comparing this with the given equation x^2 - 16x - 36, we can see that they are the same.

Therefore, the option f(x) = x - 12 and g(x) = x + 3 is possible.

To know more about substitution in equations, refer here:

https://brainly.com/question/1132161#

#SPJ11

How are ARCH models estimated? OLS 2SLS GLS ML QUESTION 7 A model with the following conditional variance function is what type of model? ARCH(3) ARDL(2) ARDL(3) VAR

Answers

ARCH (Autoregressive Conditional Heteroscedasticity) models are estimated using Maximum Likelihood (ML) estimation. Regarding Question 7, if the model has the given conditional variance function, it corresponds to an ARCH(3) model.

In the case of ARCH models, the ML estimation process involves the following steps:

1. Specify the ARCH model: Determine the appropriate order of the ARCH model by analyzing the autocorrelation and partial autocorrelation functions of the squared residuals (or other suitable diagnostic tests). For example, an ARCH(3) model implies that the conditional variance at time t depends on the squared residuals at time t-1, t-2, and t-3.

2. Formulate the likelihood function: The likelihood function specifies the probability of observing the given data under the assumed ARCH model. In ARCH models, the likelihood function is constructed based on the assumption that the errors follow a normal distribution with mean zero and a time-varying conditional variance.

3. Maximize the likelihood function: The goal is to find the parameter values that maximize the likelihood function. This is typically achieved using numerical optimization techniques, such as the Newton-Raphson algorithm or the BFGS algorithm.

4. Estimate the parameters: Once the likelihood function is maximized, the estimated parameter values are obtained. These estimates represent the best-fitting values that maximize the likelihood of observing the given data.

Therefore, the answer to Question 7 is: ARCH(3).

Learn more about variance:

https://brainly.in/question/26967579

#SPJ11


Given the radius of a circle r=6 cm and the central angle θ= 75°.
Find the arc length S of the sector
5π/2 cm
5/2cm
5π/12 cm
450 cm
Given the radius of a circle r=6 cm and the central angle θ= 75°.
Find the area of the circular sector A
15π/2 cm²
15π cm²
15π/12 cm²
1350 cm²

Answers

a. The arc length S of the sector is [tex]\frac{5\pi }{2}[/tex]cm.

b. The area of the circular sector A is [tex]\frac{15\pi }{2}[/tex]cm².

Given that,

The radius of a circle r = 6cm and the central angle θ= 75°.

In the picture we can see the circle.

a. We have to find the arc length S of the sector.

The formula for arc length is the multiplication of angle and radius.

Arc length = angle × radius

Arc length = 75° × 6

Arc length = 75([tex]\frac{\pi}{180}[/tex]) × 6

Arc length = [tex]\frac{75}{30} \times\pi[/tex]

Arc length = [tex]\frac{5\pi }{2}[/tex]cm

Therefore, The arc length S of the sector is [tex]\frac{5\pi }{2}[/tex]cm.

b. We have to find the area of the circular sector A.

The formula for the area of the circular sector A is πr²([tex]\frac{\theta}{360}[/tex])

Sector area = π(6)²([tex]\frac{75}{360}[/tex])

Sector area = π(36)([tex]\frac{75}{360}[/tex])

Sector area = π([tex]\frac{75}{10}[/tex])

Sector area = [tex]\frac{15\pi }{2}[/tex]cm²

Therefore, The area of the circular sector A is [tex]\frac{15\pi }{2}[/tex]cm².

To know more about circle visit:

https://brainly.com/question/32259085

#SPJ4

We would like to examine whether there is evidence that the true mean amount spent on bus tickets by U of M students in one month is greater than $90. Bus ticket expenses (per month) are known to follow a normal distribution.

A random sample of 36 students is selected. The mean and standard deviation of the amount spent on bus tickets for one month for these 36 students are calculated to be $89 and $5, respectively. What is the test statistic for the appropriate hypothesis test?
a.z = -1.2
b.t = -1.2
c.z = 1.2
d.t = 2.4
e.t = -2.4

Answers

A test statistic is a quantity derived from sample data that is used to make inferences or decisions in hypothesis testing. The test statistic for the appropriate hypothesis test is d. t = 2.4.

To determine the test statistic for the hypothesis test, we need to calculate the t-value using the sample mean, sample standard deviation, population mean, and sample size.

Given:

Sample mean (x) = $89

Sample standard deviation (s) = $5

Population mean (μ) = $90 (assumed mean under the null hypothesis)

Sample size (n) = 36

The formula for calculating the t-value is:

t = (x - μ) / (s / sqrt(n))

Substituting the given values into the formula, we get:

t = ($89 - $90) / ($5 / sqrt(36))

t = (-$1) / ($5 / 6)

t = -6/5

The conclusion ultimately depends on comparing the test statistic with the critical value or calculating the p-value based on the desired level of significance. The test statistic for the appropriate hypothesis test is -1.2.

To know more about test statistic, visit;
https://brainly.com/question/30458874
#SPJ11

Kalia is planning the transportation for the senior trip. The number of students in the senior class is 463 but the trip is entirely voluntary. If each bus can seat 48 students, describe the set of the number of busses, b, they may need in set notation.

Answers

The number of students in the senior class is 463 but the trip is entirely voluntary. The set of the number of buses they may need can be described in set notation as {b | b = 10}

To determine the number of buses needed for the senior trip, we can divide the total number of students in the senior class by the seating capacity of each bus.

Number of buses, b = Total number of students / Seating capacity per bus

Number of buses, b = 463 / 48

Taking the ceiling function to account for any fractional buses:

Number of buses, b = ⌈463 / 48⌉

Calculating this value:

Number of buses, b = ⌈9.6458⌉ = 10

Therefore, the set of the number of buses they may need can be described in set notation as:

{b | b = 10}

To know more about notation refer here

https://brainly.com/question/29132451#

#SPJ11

Evaluate the integral 0∫1​[(9te6t2)i+(4e−9t)j+(8)k]dt  0∫1​[(9te6t2)i+(4e−9t)j+(8)k]dt=(i+(__)j+(___∣k

Answers

The integral evaluates to (i + (3/4)(e^6 - 1)j - (4/9)e^(-9) + 4/9)k.To evaluate the integral ∫₀¹[(9te^(6t^2))i + (4e^(-9t))j + 8k] dt, we need to integrate each component separately.

∫₀¹(9te^(6t^2)) dt: To integrate this term, we can use the substitution u = 6t^2, du = 12t dt. When t = 0, u = 0, and when t = 1, u = 6. ∫₀¹(9te^(6t^2)) dt = (9/12) ∫₀⁶e^u du = (3/4) [e^u] from 0 to 6 = (3/4) (e^6 - e^0) = (3/4) (e^6 - 1). ∫₀¹(4e^(-9t)) dt: This term can be integrated directly using the power rule for integrals. ∫₀¹(4e^(-9t)) dt = [-4/9 * e^(-9t)] from 0 to 1 = [-4/9 * e^(-9) - (-4/9 * e^0)] = [-4/9 * e^(-9) + 4/9] ∫₀¹(8) dt: This term is a constant, and its integral is equal to the constant multiplied by the interval length.

∫₀¹(8) dt = 8 [t] from 0 to 1 = 8(1 - 0) = 8. Putting it all together: ∫₀¹[(9te^(6t^2))i + (4e^(-9t))j + 8k] dt = [(3/4) (e^6 - 1)]i + [-4/9 * e^(-9) + 4/9]j + 8k. Therefore, the integral evaluates to (i + (3/4)(e^6 - 1)j - (4/9)e^(-9) + 4/9)k.

To learn more about integral click here: brainly.com/question/31433890

#SPJ11

Assume for a competitive firm that MC=AVC at $8,MC=ATC at $12, and MC =MR at $7. This firm will Multiple Choice
a. maximize its profit by producing in the short run.
b. minimize its losses by producing in the short run.
c. shut down in the short run.
d. realize a loss of $5 per unit of output.

Answers

The firm will shut down in the short run due to the inability to cover total costs with the marginal cost (MC) below both the average total cost (ATC) and the marginal revenue (MR). Thus, the correct option is :

(c) shut down in the short run.

To analyze the firm's situation, we need to consider the relationship between costs, revenues, and profits.

Option a. "maximize its profit by producing in the short run" is not correct because the firm is experiencing losses. When MC is below ATC, it indicates that the firm is making losses on each unit produced.

Option b. "minimize its losses by producing in the short run" is also not correct. While producing in the short run can help reduce losses compared to not producing at all, the firm is still unable to cover its total costs.

Option d. "realize a loss of $5 per unit of output" is not accurate based on the given information. The exact loss per unit of output cannot be determined solely from the given data.

Now, let's discuss why option c. "shut down in the short run" is the correct choice.

In the short run, a firm should shut down when it cannot cover its variable costs. In this scenario, MC is equal to AVC at $8, indicating that the firm is just able to cover its variable costs. However, MC is below both ATC ($12) and MR ($7), indicating that the firm is unable to generate enough revenue to cover its total costs.

By shutting down in the short run, the firm avoids incurring further losses associated with fixed costs. Although it will still incur losses equal to its fixed costs, it prevents additional losses from adding up.

Therefore, the correct option is c. "shut down in the short run" as the firm cannot cover its total costs and is experiencing losses.

To learn more about profits visit : https://brainly.com/question/1078746

#SPJ11

T/F: an example of a weight used in the calculation of a weighted index is quantity consumed in a base period.

Answers

False. The quantity consumed in a base period is not an example of a weight used in the calculation of a weighted index.

In the calculation of a weighted index, a weight is a factor used to assign relative importance or significance to different components or categories included in the index. These weights reflect the contribution of each component to the overall index value. The purpose of assigning weights is to ensure that the index accurately reflects the relative importance of the components or categories being measured.

An example of a weight used in a weighted index could be market value, where the weight is determined based on the market capitalization of each component. This means that components with higher market values will have a greater weight in the index calculation, reflecting their larger impact on the overall index value.

On the other hand, the quantity consumed in a base period is not typically used as a weight in a weighted index. Instead, it is often used as a reference point or benchmark for comparison. For example, in a price index, the quantity consumed in a base period is used as a constant quantity against which the current prices are compared to measure price changes.

Therefore, the statement that the quantity consumed in a base period is an example of a weight used in the calculation of a weighted index is false.

To learn more about weight, click here:

brainly.com/question/19053239

#SPJ1

Stoaches are fictional creatures, brought back from extinction using ancient genetic material preserved in amber.

Stoach weights are normally distributed, with mean 1360g and standard deviation 111g.

State the probability that a randomly selected stoach weighs more than 1184g.

(Report the probabilities using at least 4 decimal places.)

Answers

The probability that a randomly selected stoach weighs more than 1184g is 0.9429 (rounded to 4 decimal places).

Given that stoaches are fictional creatures, brought back from extinction using ancient genetic material preserved in amber and Stoach weights are normally distributed, with a mean of 1360 g and a standard deviation of 111 g.The probability that a randomly selected stoach weighs more than 1184g is as follows: We can calculate the z-score as follows:z = (x - μ) / σz = (1184 - 1360) / 111z = -1.5772We can now find the probability by using a standard normal distribution table or calculator. Using the calculator, we find the probability as follows: P(z > -1.5772) = 0.9429.

Let's learn more about probability:

https://brainly.com/question/13604758

#SPJ11

1) Biased but Consistent Show why a model with a lagged dependent variable is biased but consistent when u t​
is not autocorrelated. 2) Biased and Inconsistent Show why a model with a lagged dependent variable is biased and inconsistent when u t​ is autocorrelated.

Answers

A model with a lagged dependent variable is biased and inconsistent when the error term ([tex]u_t[/tex]) is autocorrelated.

When the error term [tex]u_t[/tex] is autocorrelated, it violates one of the assumptions of classical linear regression models, namely the assumption of no autocorrelation in the error term. Autocorrelation occurs when the error terms at different time periods are correlated.

In the presence of autocorrelation, including a lagged dependent variable in the model leads to biased and inconsistent coefficient estimates. The bias arises because the lagged dependent variable is correlated with the autocorrelated error term. This correlation introduces endogeneity, and as a result, the coefficient estimate of the lagged dependent variable is biased.

Furthermore, the inclusion of the lagged dependent variable exacerbates the inconsistency of the estimates. Inconsistency means that as the sample size increases, the estimates do not converge to the true population value. Autocorrelation amplifies this inconsistency issue, causing the estimates to deviate further from the true value as the sample size increases. This happens because the presence of autocorrelation violates the assumptions required for the ordinary least squares (OLS) estimator to be consistent.

To address the bias and inconsistency caused by autocorrelation, one can employ techniques such as instrumental variables or generalized least squares that are appropriate for dealing with autocorrelated errors.

To know more about autocorrelation, refer here:

https://brainly.com/question/32966773#

#SPJ11

If x^2−4xy+y^2=4, then dy/dx =______

Answers

The derivative of y with respect to x, d y/dx, can be found by differentiating the given equation implicitly. Taking the derivative of both sides with respect to x, we get:

2x - 4y(dx/dx) - 4x(d y/dx) + 2y(d y/dx) = 0.

Simplifying the equation, we have:

2x - 4y - 4x(d y/dx) + 2y(d y/dx) = 0.

Rearranging the terms, we find:

(d y /dx)(2y - 4x) = 4y - 2x.

Finally, solving for d y/dx, we obtain:

d y/dx = (4y - 2x) / (2y - 4x).

The derivative d y/dx is equal to (4y - 2x) divided by (2y - 4x).

To derive the expression for d y/dx, we applied the implicit differentiation method. This technique allows us to find the derivative of an equation involving both x and y without explicitly solving for y. By differentiating both sides of the given equation with respect to x, we treated y as a function of x and used the chain rule. This led to the appearance of d y/dx in the equation. After rearranging terms and isolating d y/dx, we obtained the final expression (4y - 2x) / (2y - 4x). This represents the derivative of y with respect to x for the given equation.

Learn more about differentiation click here: brainly.com/question/31239084

#SPJ11

If $3500 is invested at an interest rate of 8.25%. per year, compounded continuously, find the value of the investment after the given number of years. (Round your answers to the nearest cent.) (a) 2 years s (b) 4 vears $ (c) 6 years $

Answers

The value of the investment after 2 years = $4127.75, after 4 years = $4871.95, and after 6 years = $5740.77

To calculate the value of the investment after a certain number of years when it is compounded continuously, we can use the formula:

[tex]\[A = P \cdot e^{rt}\][/tex]

Where:

A = Final amount (value of the investment)

P = Principal amount (initial investment)

e = Euler's number (approximately 2.71828)

r = Annual interest rate (as a decimal)

t = Time in years

Provided:

P = $3500

r = 8.25% = 0.0825 (as a decimal)

(a) After 2 years:

[tex]\[A = 3500 \cdot e^{0.0825 \cdot 2}\][/tex]

Calculating this expression, we have:

[tex]\[A = 3500 \cdot e^{0.165} \\\approx 3500 \cdot 1.1793 \\\approx 4127.75\][/tex]

Hence, after 2 years, the value of the investment would be approximately $4127.75.

(b) After 4 years:

[tex]\[A = 3500 \cdot e^{0.0825 \cdot 4}\][/tex]

Calculating this expression, we have:

[tex]\[A = 3500 \cdot e^{0.33} \\\approx 3500 \cdot 1.3917 \\\approx 4871.95\][/tex]

Hence, after 4 years, the value of the investment would be approximately $4871.95.

(c) After 6 years:

[tex]\[A = 3500 \cdot e^{0.0825 \cdot 6}\][/tex]

Calculating this expression, we have:

[tex]\[A = 3500 \cdot e^{0.495} \\\approx 3500 \cdot 1.6402 \\\approx 5740.77\][/tex]

Hence, after 6 years, the value of the investment would be approximately $5740.77.

To know more about investment refer here:

https://brainly.com/question/29134058#

#SPJ11

Find the extremum of f(x,y) subject to the given constraint, and state whether it is a maximum or a minimum. f(x,y)=xy;5x+y=10 Find the Lagrange function F(x,y,λ). F(x,y,λ)=−λ

Answers

The extremum of f(x, y) = xy subject to the constraint 5x + y = 10 occurs at the point (1, 5). The nature of this extremum (maximum or minimum) cannot be determined based on the second derivative test alone.

To find the extremum of f(x, y) = xy subject to the constraint 5x + y = 10, we can use the Lagrange multiplier method.

We start by defining the Lagrange function F(x, y, λ) = xy - λ(5x + y - 10), where λ is the Lagrange multiplier.

Taking the partial derivatives of F with respect to x, y, and λ, and setting them equal to zero, we get the following system of equations:

∂F/∂x = y - 5λ = 0

∂F/∂y = x - λ = 0

∂F/∂λ = 5x + y - 10 = 0

From the first equation, we have y = 5λ, and from the second equation, we have x = λ. Substituting these values into the third equation, we get 5λ + 5λ - 10 = 0, which simplifies to λ = 1.

Substituting λ = 1 back into the first and second equations, we find y = 5 and x = 1.

So, the extremum occurs at the point (1, 5) with f(1, 5) = 1 * 5 = 5.

To determine whether this extremum is a maximum or a minimum, we can perform the second derivative test. However, since the Hessian matrix is identically zero for this function, the second derivative test is inconclusive.

Learn more about Hessian matrix here:

brainly.com/question/33184670

#SPJ11

Solve the differential equation.
Sinx dy/dx = 9-ycos x
y =

Answers

The general solution to the given differential equation is: y = (9 - K / |sin(x)|) / cos(x) where K is a constant.

To solve the given differential equation, we'll separate the variables and integrate both sides.

The given differential equation is:

sin(x) dy/dx = 9 - ycos(x)

First, let's rearrange the equation:

dy / (9 - ycos(x)) = dx / sin(x)

Now, let's integrate both sides:

∫ dy / (9 - ycos(x)) = ∫ dx / sin(x)

For the left side integral, we can apply a substitution. Let u = 9 - ycos(x), then du = -ycos(x) dx:

-∫ du / u = ∫ dx / sin(x)

The integrals can be simplified:

-ln|u| = -ln|sin(x)| + C

Substituting back u = 9 - ycos(x):

-ln|9 - ycos(x)| = -ln|sin(x)| + C

To solve for y, we can eliminate the logarithms by taking the exponential of both sides:

[tex]e^(-ln|9 - ycos(x)|) = e^(-ln|sin(x)| + C)[/tex]

Using the properties of logarithms and exponential functions, the equation simplifies to:

9 -[tex]ycos(x) = Ke^(-ln|sin(x)|)[/tex]

9 - ycos(x) = K / |sin(x)|

Rearranging the equation:

ycos(x) = 9 - K / |sin(x)|

y = (9 - K / |sin(x)|) / cos(x

Hence, the general solution to the given differential equation is:

y = (9 - K / |sin(x)|) / cos(x)

where K is a constant.

Learn more about general solution here:

https://brainly.com/question/32554050

#SPJ11

Let h(x)=x^2−9x
(a) Find the average rate of change from 6 to 7.
(b) Find an equation of the secant line containing (6,h(6)) and (7,h(7)).
(a) The average rate of change from 6 to 7 is (Simplify your answer.)

Answers

The average rate of change from 6 to 7 is -5 and the equation of the secant line containing the points (6,h(6)) and (7,h(7)) is y = -5x + 12.

The average rate of change from 6 to 7 can be found by calculating the difference in the function values divided by the difference in the input values. To find the equation of the secant line containing the points (6, h(6)) and (7, h(7)), we need to determine the slope of the line. The slope of a line passing through two points (x₁, y₁) and (x₂, y₂) is given by (y₂ - y₁) / (x₂ - x₁)

Given the function [tex]h(x)=x^{2} -9x[/tex].

To calculate (a) the average rate of change from 6 to 7. (b) Find an equation of the secant line containing (6,h(6)) and (7,h(7)).

(a) The average rate of change from 6 to 7 is equal to the difference in output values divided by the difference in input values.

So, using the formula: The average rate of change of a function f(x) over the interval [a, b] is: (f(b)−f(a))/(b−a)

The average rate of change of h(x) from 6 to 7 is: h(7)-h(6))/(7-6) = (49-54)/(1) = -5

Hence, the average rate of change from 6 to 7 is -5.

The formula for the average rate of change of a function over the interval [a, b] is: (f(b)-f(a))/(b-a)

(b) To find an equation of the secant line containing (6,h(6)) and (7,h(7)), we need to find the slope of the secant line.

The slope of a line passing through two points (x₁, y₁) and (x₂, y₂)) is: (y₂)-y₁)/(x₂-x₁)

Using this formula, we have: h(7) - h(6) / 7 - 6 = (49-54)/1 = -5

So the slope of the secant line is -5.

Therefore, we can find the equation of the secant line using the point-slope form of the equation of a line: y-y₁ = m(x-x₁)

Using the point (6,h(6)) = (6,-18) and the slope m = -5, we get: y - (-18) = -5(x - 6)

Simplifying and solving for y, we get: y = -5x + 12

So the equation of the secant line containing the points (6,h(6)) and (7,h(7)) is y = -5x + 12.

To know more about the average and secant line visit:

brainly.com/question/31320367

#SPJ11

2 ounces of black cumant ossince for 53 sf per ounce Detertine the cost per ounce of the perfumed The cont per bunce of the gerturne is (Round to the ronarest cern)

Answers

The cost per ounce of the perfumed black currant essence is $53/ounce.

To determine the cost per ounce of the perfumed black currant essence, we need to divide the total cost by the total number of ounces.

Given:

- 2 ounces of black currant essence

- Cost of $53 per ounce

To calculate the total cost, we multiply the number of ounces by the cost per ounce:

Total cost = 2 ounces * $53/ounce = $106

Now, we divide the total cost by the total number of ounces to find the cost per ounce:

Cost per ounce = Total cost / Total number of ounces = $106 / 2 ounces = $53/ounce

Therefore, the cost per ounce of the perfumed black currant essence is $53/ounce.

To know more about ounces, visit:

https://brainly.com/question/26950819

#SPJ11

Use Taylor's formula for f(x,y) at the origin to find quadratic and cubic approximations of f near the origin. f(x,y)=cos(x2+y2). The quadratic approximation is ___

Answers

The quadratic approximation of f(x, y) near the origin is f(x, y) ≈ 1 - x^2 - y^2. The cubic approximation is the same as the quadratic approximation since all the third-order derivatives are zero.

To find the quadratic and cubic approximations of f(x, y) = cos(x^2 + y^2) near the origin using Taylor's formula, we need to calculate the partial derivatives and evaluate them at the origin.

The first-order partial derivatives are:

∂f/∂x = -2x sin(x^2 + y^2)

∂f/∂y = -2y sin(x^2 + y^2)

Evaluating the partial derivatives at the origin (x = 0, y = 0), we have:

∂f/∂x = 0

∂f/∂y = 0

Since the first-order partial derivatives are zero at the origin, the quadratic approximation will involve the second-order terms. The second-order partial derivatives are:

∂²f/∂x² = -2 sin(x^2 + y^2) + 4x^2 cos(x^2 + y^2)

∂²f/∂y² = -2 sin(x^2 + y^2) + 4y^2 cos(x^2 + y^2)

∂²f/∂x∂y = 4xy cos(x^2 + y^2)

Evaluating the second-order partial derivatives at the origin, we have:

∂²f/∂x² = -2

∂²f/∂y² = -2

∂²f/∂x∂y = 0

Using Taylor's formula, the quadratic approximation of f(x, y) near the origin is:

f(x, y) ≈ f(0, 0) + ∂f/∂x(0, 0)x + ∂f/∂y(0, 0)y + 1/2 ∂²f/∂x²(0, 0)x^2 + 1/2 ∂²f/∂y²(0, 0)y^2 + ∂²f/∂x∂y(0, 0)xy

Substituting the values, we get:

f(x, y) ≈ 1 - x^2 - y^2

The cubic approximation would involve the third-order partial derivatives, but since all the third-order derivatives of f(x, y) = cos(x^2 + y^2) are zero, the cubic approximation will be the same as the quadratic approximation.

Learn more about quadratic approximation here:

brainly.com/question/32562592

#SPJ11

Evaluate the indefinite integral as a power series. f(t)=∫8tln(1−t)​dt f(t)=C+∑n=1[infinity]​() What is the radius of convergence R ?

Answers

To evaluate the indefinite integral f(t) = ∫8tln(1−t) dt as a power series, we can use the power series expansion for ln(1 - t): ln(1 - t) = -∑n=1[infinity] (t^n/n). We integrate term by term, keeping in mind that the constant of integration is represented by C:

f(t) = C + ∑n=1[infinity] ∫(8t)(-t^n/n) dt.

Evaluating the integral and simplifying, we have:

f(t) = C + ∑n=1[infinity] (-8/n) ∫t^(n+1) dt.

f(t) = C + ∑n=1[infinity] (-8/n) * (t^(n+2)/(n+2)).

The resulting power series for f(t) is given by f(t) = C - 4t^2 - 4t^3/3 - 4t^4/4 - ...

The radius of convergence R for this power series can be determined by using the ratio test. Applying the ratio test to the power series, we find that the limit as n approaches infinity of the absolute value of the ratio of the (n+1)-th term to the n-th term is |t|. Hence, the radius of convergence R is 1.

Learn more about the constant of integration here: brainly.com/question/33020098

#SPJ11

Give the general solution for the following trigonometric equation.
sin(x) 10 cos(2x) = -9

Let y =
y=
sin(x): =
r. a.=

x = where k Є Z
x = where k Є Z
x = where k Є Z
x = where k Є Z

Answers

The general solution for the trigonometric equation [tex]$\sin(x) \cdot 10 \cdot \cos(2x) = -9$[/tex]  is  [tex]$x = \frac{\pi}{6} + 2\pi k$[/tex], [tex]$x = \frac{5\pi}{6} + 2\pi k$[/tex], [tex]$x = \frac{7\pi}{6} + 2\pi k$[/tex], and [tex]$x = \frac{11\pi}{6} + 2\pi k$[/tex], where [tex]$k$[/tex] is an integer.

To solve the equation, we can rewrite it using trigonometric identities. The identity [tex]$\cos(2x) = 2\cos^2(x) - 1$[/tex] can be applied here:

[tex]$\sin(x) \cdot 10 \cdot (2\cos^2(x) - 1) = -9$[/tex]

Expanding the equation further:

[tex]$20\sin(x)\cos^2(x) - 10\sin(x) = -9$[/tex]

Now, let's substitute [tex]$\sin(x)$[/tex] with [tex]$y$[/tex]:

[tex]$20y\cos^2(x) - 10y = -9$[/tex]

Dividing the equation by [tex]$y$[/tex] (taking [tex]$y \neq 0$[/tex]):

[tex]$20\cos^2(x) - 10 = -\frac{9}{y}$[/tex]

Simplifying:

[tex]$20\cos^2(x) = -\frac{9}{y} + 10$[/tex]

Taking the square root of both sides:

[tex]$\cos(x) = \pm \sqrt{\frac{-9/y + 10}{20}}$[/tex]

Now, we need to find the possible values of [tex]$x$[/tex] for which [tex]$\cos(x)$[/tex] is equal to the above expression. Since [tex]$\cos(x)$[/tex] repeats itself after every [tex]$2\pi$[/tex] radians, we can write:

[tex]$x = \pm \arccos\left(\sqrt{\frac{-9/y + 10}{20}}\right) + 2\pi k$[/tex]

Simplifying further:

[tex]$x = \pm\left[\frac{\pi}{2} - \arcsin\left(\sqrt{\frac{-9/y + 10}{20}}\right)\right] + 2\pi k$[/tex]

Finally, substituting [tex]$y$[/tex] with [tex]$\sin(x)$[/tex], we get:

[tex]$x = \pm\left[\frac{\pi}{2} - \arcsin\left(\sqrt{\frac{-9 + 10\sin(x)}{20\sin(x)}}\right)\right] + 2\pi k$[/tex]

Simplifying the expression inside the arcsin:

[tex]$x = \pm\left[\frac{\pi}{2} - \arcsin\left(\sqrt{\frac{1 - 9\sin^2(x)}{2\sin^2(x)}}\right)\right] + 2\pi k$[/tex]

We can further simplify the expression inside the arcsin as follows:

[tex]$\sqrt{\frac{1 - 9\sin^2(x)}{2\sin^2(x)}} = \frac{\sqrt{2}\sin(x)}{\sqrt{1 - 9\sin^2(x)}}$[/tex]

Therefore, the general solution is [tex]$x = \pm\left[\frac{\pi}{2} - \arcsin\left(\frac{\sqrt{2}|\sin(x)|}{\sqrt{1 - 9\sin^2(x)}}\right)\right] + 2\pi k$[/tex].

To know more about trigonometric equations, refer here:

https://brainly.com/question/22624805#

#SPJ11

Conslder a set of data in which the sample mean is 26.8 and the sample standard deviation is 6.4. Calculate the t-score given that x a 30.6. Round your answer to two decinal places. Answer How to enter yout answer fopens in new window)

Answers

The t-score is 0.59.The t-score is a measure of how far a particular data point is from the mean, in terms of standard deviations. It is calculated using the following formula:

t = (x - μ) / σ

where:

x is the data point

μ is the mean

σ is the standard deviation

In this case, we are given that the mean is 26.8 and the standard deviation is 6.4. We are also given that the data point x is 30.6. So, the t-score is calculated as follows:

t = (30.6 - 26.8) / 6.4 = 0.59

The t-score of 0.59 means that the data point x is 0.59 standard deviations above the mean. In other words, x is slightly higher than average.

Here is a Python code that you can use to calculate the t-score:

Python

import math

def t_score(mean, standard_deviation, x):

 t = (x - mean) / standard_deviation

 return t

mean = 26.8

standard_deviation = 6.4

x = 30.6

t = t_score(mean, standard_deviation, x)

print("The t-score is", round(t, 2))

This code will print the t-score of 0.59.

Learn more about sample mean here:

brainly.com/question/33323852

#SPJ11

Find the equation of the tangent to the curve y = c (x) 4x
at x = 0.2.

Answers

To find the equation of the tangent to the curve y = c(x) * 4x at x = 0.2, we need to determine the slope of the tangent at that point and then use the point-slope form of a linear equation.

First, let's find the derivative of the function y = c(x) * 4x with respect to x:

dy/dx = d/dx [c(x) * 4x]

The derivative of a function represents the rate at which the function's value is changing with respect to its independent variable. It gives the slope of the tangent line to the graph of the function at any given point.

The derivative of a function f(x) is denoted as f'(x) or dy/dx. It can be calculated using various differentiation rules and techniques, depending on the form of the function.

Visit here to learn more about derivative brainly.com/question/29144258

#SPJ11

Evaluate the indefinite integral. ∫x³ √(81+x2) dx ___ + C

Answers

The indefinite integral of ∫x³ √(81+x²) dx is equal to (1/5) (81 + x²)^(5/2) + C.

The indefinite integral of ∫x³ √(81+x²) dx can be evaluated using the substitution method. Let's substitute u = 81 + x².

Taking the derivative of u with respect to x, we have du/dx = 2x, which implies dx = du/(2x).

Now, we can substitute the values of u and dx in terms of u into the integral:

∫x³ √(81+x²) dx = ∫(x²)(x)(√(81+x²)) dx

               = ∫(x²)(x)(√u) (du/(2x))

               = (1/2) ∫u^(1/2) du

               = (1/2) ∫u^(3/2) du

               = (1/2) * (2/5) u^(5/2) + C

               = (1/5) u^(5/2) + C

Substituting back u = 81 + x², we obtain:

(1/5) (81 + x²)^(5/2) + C

Therefore, the indefinite integral of ∫x³ √(81+x²) dx is equal to (1/5) (81 + x²)^(5/2) + C, where C represents the constant of integration.

Learn more about Integral here:

brainly.com/question/33119754

#SPJ11

Report your answer to the nearest dollar.

Select one:

a.$59,945

b.$659,341

c.$54,945

d.$57,691

Answers

The answer that you are looking for is d, which is $57 691.(option d)

The alternative that has the value d. $57,691 is the one that has a value that is the closest to the desired amount of $57,691 and is therefore the best choice. The result has been rounded to the closest dollar, which in this instance comes to $57,691, given that you requested that a report be rounded to the nearest dollar.

It is crucial to keep in mind that, in the absence of any further context or information, it is impossible to establish the exact meaning of the alternatives that are being presented in their individual settings. This is something that must be kept in mind at all times. However, when rounded to the nearest dollar, the answer that is closest to the specified amount is discovered in choice d, which is $57,691, and it is determined that choice d is the answer that is closest to the specified amount. This option is the response that offers the greatest degree of coherence when considered in light of the information that has been presented.

Learn more about degree of coherence here:

https://brainly.com/question/29033134

#SPJ11


2. Identify four rectangular objects and, using
reasonable units, provide the length and width measurements for
each object.
a. Provide the reduced size of each item, using a scale
factor of 15:1.

Answers

After identifying four rectangular objects, the length and width measurements for each object are as follows:

1. A book with a length of 8 inches and a width of 5 inches.

2. A laptop with a length of 13 inches and a width of 9 inches.

3. A sheet of paper with a length of 11 inches and a width of 8.5 inches.

4. A picture frame with a length of 10 inches and a width of 8 inches.

Reducing the size of each object using a scale factor of 15:1, the new measurements for each object are as follows:

1. The book would be 0.53 inches in length and 0.33 inches in width.

2. The laptop would be 0.87 inches in length and 0.6 inches in width.

3. The sheet of paper would be 0.73 inches in length and 0.57 inches in width.

4. The picture frame would be 0.67 inches in length and 0.53 inches in width.

It's important to note that these reduced sizes are for the purpose of creating a scaled model or representation of the objects. These measurements are not intended to be used for actual size or usage of the objects.

Know more about measurements  here:

https://brainly.com/question/28848608

#SPJ11

Given the function f(x)=3x3​−1.5x2−4x−2, answer the following questions and sketch a graph of the function. (a) f(x) is increasing on the interval(s): (b) f(x) is decreasing on the interval(s): (c) f(x) is concave up on the interval(s): (d) f(x) is concave down on the interval(s): (e) The relative maxima of f(x) occur at (x,y)= (f) The relative minima of f(x) occur at (x,y)= (g) The inflection points of f(x) occur at (x,y)= (h) Find the x-intercept(s) of f(x):(x,0)= Not required here (i) Find the y-intercept of f(x):(0,y)= (j) Sketch the graph and enter, "Yes" Note: For intervals, use open intervals such as, (3,5) or a list of intervals joined with the union symbol "U" such as, (− inf, 3)U(5, inf ). Use inf for [infinity] and -inf for −[infinity]. For non-interval answers use commas to separate multiple answers. If there are no solutions enter "none".

Answers

(a) f(x) is increasing on the interval(s): (-∞, -1), (1, ∞) (b) f(x) is decreasing on the interval(s): (-1, 1) (c) f(x) is concave up on the interval(s): (-∞, ∞) (d) f(x) is concave down on the interval(s): none (f(x) is always concave up) (e) The relative maxima of f(x) occur at (x,y) = (1, -4) (f) The relative minima of f(x) occur at (x,y) = none (f(x) does not have any relative minima) (g) The inflection points of f(x) occur at (x,y) = none (f(x) does not have any inflection points) (h) Find the x-intercept(s) of f(x): (-2/3, 0), (1, 0) (i) Find the y-intercept of f(x): (0, -2)

To determine the intervals where f(x) is increasing or decreasing, we examine the sign of the derivative. The derivative of f(x) is f'(x) = 9x² - 3x - 4. The derivative is positive on the intervals (-∞, -1) and (1, ∞), indicating that f(x) is increasing in these intervals. The derivative is negative on the interval (-1, 1), indicating that f(x) is decreasing in this interval.

To determine the concavity of f(x), we examine the sign of the second derivative. The second derivative of f(x) is f''(x) = 18x - 3. Since the second derivative is always positive, f(x) is concave up on the entire real number line.

The relative maximum of f(x) occurs at x = 1, where f(1) = -4.

The function f(x) does not have any relative minima or inflection points.

The x-intercepts of f(x) are x = -2/3 and x = 1.

The y-intercept of f(x) is y = -2.

Overall, the graph of f(x) is increasing on (-∞, -1) and (1, ∞), decreasing on (-1, 1), and concave up on the entire real number line. It has a relative maximum at (1, -4) and x-intercepts at -2/3 and 1. The y-intercept is at -2.

To know more about interval:

https://brainly.com/question/11051767


#SPJ4

Select a correct statement of the first law.
A. heat transfer equals the work done for a process
B. heat transfer minus work equals change in enthalpy
C. net heat transfer equals net work plus internal energy change for a cycle
D. net heat transfer equals the net work for a cycle.
E. none of the above

Answers

The correct statement of the first law is: C.

net heat transfer equals net work plus internal energy change for a cycle.

The first law of thermodynamics is the conservation of energy.

It can be stated as follows:

Energy is conserved:

it can neither be created nor destroyed, but it can change forms.

It is also referred to as the law of conservation of energy.

In terms of energy, the first law of thermodynamics can be represented mathematically as:

ΔU = Q - W

Where ΔU = Change in internal energy

Q = Heat added to the system

W = Work done by the system

Heat transfer (Q) equals the work done (W) plus the change in internal energy (ΔU) for a cycle.

This is a statement of the first law of thermodynamics.

Therefore, option C, "net heat transfer equals net work plus internal energy change for a cycle," is the correct answer.

To know more about system visit:

https://brainly.com/question/3196658

#SPJ11

Determine the present value of $65,000 if interest is paid at an annual rate of 3.9% compounded monthly for 6 years. Round your answer to the nearest cent.

Do not include dollar signs ($) or commas (,) in your answer. Example: 16288.95

Answers

Rounded to the nearest cent, the present value of $65,000 is $54,081.89.

To determine the present value of $65,000 with an annual interest rate of 3.9% compounded monthly for 6 years, we can use the formula for present value of a future sum compounded monthly:

PV = FV / (1 + r/n)^(n*t)

Where:

PV = Present Value

FV = Future Value

r = Annual interest rate (in decimal form)

n = Number of compounding periods per year

t = Number of years

Substituting the given values into the formula:

PV = $65,000 / [tex](1 + 0.039/12)^{(12*6)}[/tex]

PV ≈ $54,081.89

To know more about numbers visit:

brainly.com/question/24908711

#SPJ11

The table shows how much Kim earned from 1996 to through 2004. Year Annual Salary ($) 42. 000 1996 1998 47. 500 2000 48. 900 2002 55. 000 60. 000 2004 What is the equation of a trend line that models an approximate relationship between time and Kim's annual salary? Let 1996 = 0. O A. Y = 2200x + 40000; x is the current year, y is annual salary. B. Y = 1996X + 42000; x is slope: y is annual salary. C. Y = 2200x + 40000; x is years since 1996; y is annual salary. O D. Y = 40000X + 2500; x is years since 1996; y is annual salary. ​

Answers

The equation of the trend line that models the relationship between time and Kim's annual salary is Y = 2200x + 40000.

To determine the equation of the trend line, we need to consider the relationship between time and Kim's annual salary. The table provided shows the annual salary for each corresponding year. By examining the data, we can observe that the salary increases by $2200 each year. Therefore, the slope of the trend line is 2200. The initial value or y-intercept is $40,000, which represents the salary in the base year (1996). Therefore, the equation of the trend line is Y = 2200x + 40000, where x represents the years since 1996 and y represents the annual salary.

Learn more about annual salary here:

https://brainly.com/question/13186155

#SPJ11

Use the chemical reaction model with a given general solution of y=−1/kt+c​ to find the amount y as a function of t. y=65 grams when t=0;y=17 grams when f=1 Use a graphing utility to groph the function.

Answers

The specific values of k and c are determined as k = 1/48 and c = 65. The amount y is given by y = -48/t + 65.

The given general solution of the chemical reaction model is y = -1/(kt) + c. We are provided with specific values for y and t, allowing us to determine the values of k and c and find the amount y as a function of t.

Given that y = 65 grams when t = 0, we can substitute these values into the general solution:

65 = -1/(k*0) + c

65 = c

Next, we are given that y = 17 grams when t = 1, so we substitute these values into the general solution:

17 = -1/(k*1) + 65

17 = -1/k + 65

-1/k = 17 - 65

-1/k = -48

k = 1/48

Now, we have determined the values of k and c. Substituting these values back into the general solution, we get:

y = -1/(1/48 * t) + 65

y = -48/t + 65

Using a graphing utility, we can plot the function y = -48/t + 65. The x-axis represents time (t) and the y-axis represents the amount of substance (y) in grams. The graph will show how the amount of substance changes over time according to the chemical reaction model.

To learn more about graphing utility click here

brainly.com/question/1549068

#SPJ11

The probability of randomly hitting a bullseye on a dartboard with radius 12 inches depends on the size of the bullseye Thus the probability is a function of the size If this function is called PS?

Answers

If we denote the probability of hitting a bullseye on a dartboard with radius 12 inches as a function of the size of the bullseye, we can refer to this function as PS.

The function PS represents the probability of hitting the bullseye and is dependent on the size of the bullseye. The larger the bullseye, the higher the probability of hitting it, and vice versa. By adjusting the size of the bullseye, we can determine the corresponding probability of hitting it using the function PS.

It's important to note that without specific information about the relationship between the bullseye size and the probability, it's not possible to provide a specific mathematical expression or further details about the PS function. The function would need to be defined or provided to calculate the probability accurately.

learn more about "probability ":- https://brainly.com/question/25839839

#SPJ11

Other Questions
Suppose M.G., Ltd. is quoting swap rates as follows: 6.506.90 percent annually against six-month dollar LIBOR for dollars and 10.2010.60 percent annually against six-month dollar LIBOR for British pound sterling. At what rates will M.G. enter into a $/. E (dollar pound) currency swap? Question 1) At the start of its 2021 fiscal year (January 1, 2021), Liberia Incorporated noted that ther were 200,000 , $1 noncumulative preferred shares worth $3,000,000. There were also 400,000 common shares outstanding worth $4,000,000. Opening retained earnings was $5,000,000. The following transactions happened in fiscal 2021: - February 1: Bought back 40,000 common shares at $15/ share. - June 1: Issued 75,000 common shares for $28/ share - August 1: Issued 25,000 common shares for $30/ share. - August 15: Declared preferred cash dividends of $400,000 to shareholders on record on August 28. Net income on August 15 was $1,750,000. - September 1: Paid cash dividends declared on August 15. - November 1: Issued 10,000 common shares for $32/ share. - December 1: Bought back 25,000 common shares at $25/ share. As of December 31,2021 , net income was $3,250,000. Required: a) Compute the weighted average number of common shares for fiscal 2021. (13 marks) b) Compute the basic EPS for fiscal 2021. (3 marks) c) Compute the payout ratio for the cash dividends paid during the year. ( 3 marks) The director of research and development is testing a new drug. She wants to know if there is evidence at the 0.05 level that the drug stays in the system for more than 393 minutes. For a sample of 17 patients, the mean time the drug stayed in the system was 400 minutes with a variance of 441. Assume the population distribution is approximately normal. Step 1 of 3: State the null and alternative hypotheses. A firm has an ROE of 5%, a debt/equity ratio of 0.5, and a tax rate of 40%, and pays an interest rate of 6% on its debt. What is its operating ROA? (Do not round intermediate calculations. Round your answer to 2 decimal places.) Choose the correct statement of Technology Enabled ReengineeringA. Technology enabled reengineering using ERP provides a roadmap for transformation by eliminating many of the difficult decisions required when designing processes from scratch.B. In technology enabled reengineering, a to be process is designed by benchmarking against its corresponding as is process.C. Old processes can still be practiced alongside the implementation of technology enabled reengineering using ERP.D. Technology enabled reengineering removes all types of constraints on the resulting business operations. The Taylor series for the exponential function is: exp(x)= n=0[infinity]n!x n n ! represents n factorial, which is the product of the integers from 1 to n. The following pseudo code is designed to calculate the value of the Taylor series up to and including the first term in the series that is less than a tolerance value. There are three errors in the pseudo code. State the line number that contains an error and explain what the error is or where a line should be added and what the line should be. You should assume that line 14 is correct and that error checking of the inputs is not required. [6 Marks] 1. Declare n as integer 2. Declare x, tolerance, term and exp_ x as real 3. Assign 0 to n 4. Assign 0.0 to exp_ x 5. Assign 1.0 to term 6. Display 'Enter the value of x 7. Get x 8. Display 'Enter the value of the tolerance' 9. While term is less than tolerance 10. Assign ( n plus 1 ) to n 11. Assign (term multiplied by x divided by n ) to term 12. Assign (exp x plus term) to exp_ x 13. End while 14. Display 'The value of the exp(', x, ) is ', exp_x the ________ forms the basis of federal enforcement efforts today Associated with the condition of _____ is the lowest possibility of failure.A. ambiguityB. uncertaintyC.certaintyD.riskE. all of these You have made four separate investments. Find the total gain in 10 years for each investment described and place the investments in order from least to greatest gain: S. $950 investment with simple interest of 2.5% annually T. $900 investment with interest compounded yearly at 2.5% annually U. $900 investment with interest compounded monthly at 2% annually V. $1000 investment with interest compounded continuously at 2% annually: *A) V,S,U,T B) ,V,S,T C) S,T,U,VD) T, S, V, U The will provide information about the rules and regulations around an employee's meals and break times. Studies regarding the most productive flex schedules of an employee working the night shift might be included in which magazine? Workforce Magazine Journal of HR Systematic HR HR Executive Magazine Which of the following is a reason why start-ups suffer from high turnover? Start-ups move too quickly to provide training and guidance. Start-up environments are relatively stable. Turnover among tech employees is higher than average. Start-ups don't hire HR professionals to provide standard employee practices. Which of the following statements in relation to trust losses in a discretionary trust is correct? a. Nrust losses can be carried forward and offset against any income a beneficiary receives from sources other than the trust b. Trust losses can be distributed to beneficiaries, as long as they are first offset against any exempt income of the trust. c. Trust losses are quarantined inside the trust. d. A discretionary trust can only carry forward losses if it has elected to become a family trust which of the following statements regarding middle adults is correct A certain animal shelter has several animal types. We'll call the set of these animal types U. Two veterinarians treated certain animal types yesterday. Let M be the set of animal types treated by Dr. Martinez. Let R be the set of animal types treated by Dr. Roberts. Use the Venn diagram to write the descriptive and roster forms of the sets below. (a) Set: MR - Descriptive form: The set of animal types at the sheiter treated by both Dr. Martinez and Dr. Roberts - Roster form: \{fish, turties } (b) Set: (RM) - Descriptive form: what is the significance of these structural and functional specializations in eudorina? Compute ending inventory using FIFO BE6.3 (1.02) 1AP In its first month of operations, Weatherall Company made three purchases of mer and L/FO chandise in the following sequence: (1) 300 units at $6, (2) 400 units at $7, and (3) 200 units at \$8. Assuming there are 380 units on hand, compute the cost of the ending inventory under the (a) FIFO method and (b) L.1FO method, Weatherall uses a periodic inventory sysfem. the maintenance of a relatively constant internal environment is called autoantibodies cause tissue injury in all the following diseases except What is the average rate of change of f(x) from x1=5.7 to x2=1.6 ? Please write your answer rounded to the nearest hundredth f(x)=7x1 Information concerning Johnston Company's direct materials costs is as follows:Standard price per pound$ 6.85Actual quantity purchased2,970poundsActual quantity used in production2,870poundsUnits of product manufactured740Materials purchase-price variancefavorable$ 895Budget data for the period:Units to manufacture1,040Units of direct materials4,160pounds The federal (and provincial) government wants to assist citizens to save for their owni needs, including retirement. They created the Tax-Free Savings Account (TFSA) for this purpose. Listed below are a number of statements relating to TFSAS, Identify those that are correct: 1. The deposits are not tax deductible. 2. Any income or growth earned in the account on qualified investments is not taxed as it grows. 3. Withdrawals are tax free. 4. There are limits to how much money can be deposited each year, but unused deposit room is carried farward, so lump sum catch-up deposits are possible. 5. Contribution to a spouse's plan is permitted. 6. Re-contribution to a plan is permitted after funds have been withdrawn, 7. The holder of a tax-free savings account (TFSA) can also designate a beneficiary of the account upon their death. Select one: a. All are correct. b. 2,3,4&5 C. 2,3,487 d. 1,2,485