1,125 Answered Questions for the topic AP Calculus

Ap Calculus Math Calculus

04/05/21

What is the Maclaurin series for f(x) = xex?

What is the Maclaurin series for f(x) = xex?
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Ap Calculus Math Calculus

04/05/21

Which of the following values does the series  represent?

 Which of the following values does the series  represent? e-3 e3 None of these-the series does not converge
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Ap Calculus Math Calculus

04/05/21

Which of the following is the coefficient of x3 in the Maclaurin series for f(x) = sin(2x)?

Which of the following is the coefficient of x3 in the Maclaurin series for f(x) = sin(2x)?
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Ap Calculus Math Calculus

04/04/21

What is the Maclaurin series for f of x equals x squared times e to the power of x to the power of 2?
What is the Maclaurin series for ? A B C D
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Ap Calculus Math Calculus

04/04/21

Find the Maclaurin polynomial of degree 3 for f(x) = xcos(x)
Find the Maclaurin polynomial of degree 3 for f(x) = xcos(x) A x - x3 B C D
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Ap Calculus Math Calculus

04/04/21

Find the fourth derivative of f at x = 0 if the Maclaurin series for f(x) = 1 - 9x + 16x2 - 25x3 + … Type the answer as an integer using a hyphen, -, for negative values
Find the fourth derivative of f at x = 0 if the Maclaurin series for f(x) = 1 - 9x + 16x2 - 25x3 + …Type the answer as an integer using a hyphen, -, for negative values
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Ap Calculus Math Calculus

04/04/21

Which of the following values does the series the summation from k equals 0 to infinity of 1 over the product of 4 to the k power and k factorial represent?

Which of the following values does the series  represent? A e-4 B e4 C D None of these-the series does not converge
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Ap Calculus Math Calculus

04/04/21

Which of the following is the coefficient of x3 in the Maclaurin series for f(x) = e-x

Which of the following is the coefficient of x3 in the Maclaurin series for f(x) = e-x  A B C D 1
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Ap Calculus

04/04/21

Polar Equation Question
The figure above shows the graph of the polar curve r=1−2cosθ for 0≤θ≤π and the unit circle r=1.(a)  Find the area of the shaded region in the figure.Question 2(b)  Find the slope of the line... more
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Ap Calculus

04/04/21

Let R be the region in the first quadrant that is bounded above by the polar curve
r=4cosθ and below by the line θ=1, as shown in the figure above. What is the area of R ? 0.317 0.317 A 0.465 0.465 B 0.929 0.929 C 2.618 2.618 D 5.819I am extremely confused with this... more
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Ap Calculus Calculus

04/03/21

Using 4 equal-width intervals, show that the trapezoidal rule is the average of the upper and lower sum estimates for the integral from 0 to 4 of x squared, dx
Using 4 equal-width intervals, show that the trapezoidal rule is the average of the upper and lower sum estimates for the integral from 0 to 4 of x squared, dx
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Ap Calculus Calculus

04/03/21

Please Help Struggling with Calculus
The table below gives selected values for the function f(x). Use a trapezoidal estimation, with 6 trapezoids to approximate the value of the integral from 1 to 2 of f of x, dx . Give 3 decimal... more
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Ap Calculus Calculus

04/03/21

Solve the differential equation dy dx equals the quotient of x squared and y squared for y = f(x) with the initial condition y(0) = 2
Solve the differential equation dy dx equals the quotient of x squared and y squared for y = f(x) with the initial condition y(0) = 2
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Ap Calculus Calculus

04/03/21

Write and then solve for y = f(x) the differential equation for the statement: "The rate of change of y with respect to x is inversely proportional to y4."

Write and then solve for y = f(x) the differential equation for the statement: "The rate of change of y with respect to x is inversely proportional to y4."
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Ap Calculus Math Calculus

03/31/21

Show that the series 3 minus 3 over 4 plus 3 over 9 minus 3 over 25 plus etc is convergent by the alternating series test, and find the number of terms necessary to estimate the sum of...
Show that the series  is convergent by the alternating series test, and find the number of terms necessary to estimate the sum of the series with an error of less than 0.05. 
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Ap Calculus Math Calculus

03/31/21

 Use the ratio test to show that the series  is convergent. Be sure to show your work.
 Use the ratio test to show that the series  is convergent. Be sure to show your work.
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Ap Calculus Math Calculus

03/31/21

Determine the nth term formula for each of the following sequences and find the limit (if it exists).
Determine the nth term formula for each of the following sequences and find the limit (if it exists). 4,-9, 16,-25, … 1,-1, 1,-1, …
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Ap Calculus Math Calculus

03/31/21

calculus question help please
Show that the series  is convergent by the alternating series test, and find the number of terms necessary to estimate the sum of the series with an error of less than 0.05.
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Ap Calculus Math Calculus Calculus Bc

03/31/21

integral test question
Use the integral test to determine if the series  is convergent or divergent. Make sure that you set up the problem correctly and use the proper notation.
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Ap Calculus Math Calculus

03/31/21

State why the series the summation from n equals 1 to infinity of the quotient of 5 and 2 raised to the n minus 1 power is convergent or divergent, and if it is convergent, find the sum.

State why the series  is convergent or divergent, and if it is convergent, find the sum. 
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Ap Calculus Math Calculus

03/29/21

Match each series to the test that should be used to test for convergence/divergence. While it is possible that each test could apply to more than one series, in this exercise each is only used once.
Match each series to the test that should be used to test for convergence/divergence. While it is possible that each test could apply to more than one series, in this exercise each is only used... more
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Ap Calculus Math Calculus

03/29/21

Given that the series  is convergent, what is the minimum number of terms that must be summed in order for the error to be less than 0.1?
Given that the series  is convergent, what is the minimum number of terms that must be summed in order for the error to be less than 0.1? 3 4 5 6
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Ap Calculus Math Calculus

03/29/21

Select the true statement for the series  .
Select the true statement for the series  . The series converges by the integral test. The series converges by the ratio test. The series diverges by the ratio test. The series converges... more
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Ap Calculus Math Calculus

03/29/21

Which of the following series is not absolutely convergent?

Which of the following series is not absolutely convergent?
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Ap Calculus Math Calculus

03/29/21

Which of the following series could be tested for convergence/divergence with the integral test?

Which of the following series could be tested for convergence/divergence with the integral test? I only II only III only All of them
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