1,134 Answered Questions for the topic AP Calculus

Ap Calculus Math Calculus

05/06/21

Power Series (Not a test question)
Which of the following intervals is impossible for the convergence of the power series  ? 0 < x < 6 1 ≤ x ≤ 9 2 ≤ x ≤ 8 3 ≤ x ≤ 7 I got the interval of convergence is 4<x<6,... more
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Ap Calculus Math Calculus

05/06/21

Power Series (Not a test question)
By using the power series for  , find the power series for  .
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Ap Calculus Math Calculus

05/06/21

Geometric Series (Not a test question)
Which of the following power series is a geometric series? I chose this because it has a common ratio of 3x 1 + 3x + 9x2 + 27x3 + 81x4 + … 1 + x + 2x2 + 3x3 + 4x4 + … 1... more
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Ap Calculus Math Calculus

05/06/21

Maclaurin Series (Not a test question)
Use the three non-zero terms of a Maclaurin series to estimate . 0.3107 0.3102 0.3100 I chose this 0.3103
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Ap Calculus

05/05/21

Can someone help me with this? Please? This is not a test/quiz/exam. This is from hw that I do not know how to anwser.
The base of a solid in the xy-plane is the circle x2 + y2 = 16. Cross sections of the solid perpendicular to the y-axis are squares. What is the volume, in cubic units, of the solid? (5... more
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Ap Calculus Math Calculus

05/02/21

Taylor Series and Error Bound
What is the maximum possible error generated in using the 5th degree Maclaurin polynomial for sin(x) for x in the interval [−0.3, 0.3]? The value cannot be determined. There is no... more
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Ap Calculus

05/02/21

Taylor Series and Error Bound (NOT a test question)
If f(x) = 1 + 3x - 5x2 + 4x3 + 2x4, which of the following are true statements? The Taylor polynomial of degree 6 about x = 3 for f(x) is equal to f(x). The remainder term R5(x) for f(x) is equal... more
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Ap Calculus Math

04/29/21

Card Collecting

Andre, Laura, and Danielle each collect baseball cards. Andre has three more than double the number of cards that Danielle has.  Laura has four fewer cards than Danielle.  All together they have... more
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Ap Calculus Calculus

04/29/21

CALCULUS QUESTION! PLEASE HELP!!!!
A particle moves along the x-axis with velocity v(t) = sin(2t), with t measured in seconds and v(t) measured in feet per second. Find the total distance travelled by the particle from t = 0 to t =... more
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Ap Calculus Calculus

04/29/21

Calculus Help please
Cleaning pumps remove oil at the rate modeled by the function R, given by  with t measure in hours and and R(t) measured in gallons per hour. How much oil will the pumping stations remove during... more
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04/29/21

Let F of x equals the integral from x to 1 of the square root of the quantity of 1 plus t squared . Use your calculator to find F'(1)
Let  . Use your calculator to find F'(1). a 0 b c d 1 my answer is c
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04/29/21

Which of the following functions grows the slowest as x goes to infinity? (4 points)

Which of the following functions grows the slowest as x goes to infinity? (4 points) a 5x b 5x c x5 d They all grow at the same rate. my answer is b
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Ap Calculus Math

04/29/21

Maclaurin Series
Find the second derivative of f at x = 0 if the Maclaurin series for f(x) = 1 - 9x + 16x^2 - 25x^3 + …Type the answer as an integer using a hyphen, -, for negative... more
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04/29/21

Which of the following functions grows at the same rate as 3x as x goes to infinity?
Which of the following functions grows at the same rate as 3x as x goes to infinity?a)2xb)c)d)my answer is D
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04/29/21

What does limit as x goes to infinity of the quotient of f of x and g of x equals infinity show
What does  showa)g(x) grows faster than f(x) as x goes to infinity.b)f(x) and g(x) grow at the same rate as x goes to infinity.c)f(x) grows faster than g(x) as x goes to infinity.d)L'Hôpital's Rule... more
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04/29/21

The estimated value of the integral from 0 to 2 of x squared dx , using the trapezoidal rule with 4 trapezoids is
The estimated value of  , using the trapezoidal rule with 4 trapezoids is a) 2.75 b)5.50c)1.88d)3.75my answer is a
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04/29/21

Calculus Please help!
Which definite integral approximation formula is A)Circumscribed rectanglesB)Inscribed rectanglesC)Mid-point ruleD)Trapezoidal ruleMy answer is D
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04/29/21

Show that f(x) = x^2 and g(x) = 1000x^2 grow at the same rate.
Show that f(x) = x2 and g(x) = 1000x2 grow at the same rate.
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04/27/21

The graph of y = f '(x), the derivative of f(x), is shown below. List the intervals where the graph of f is increasing.
The graph of y = f '(x), the derivative of f(x), is shown below. List the intervals where the graph of f is increasing. A)(-4, -2) U (2, 4)B)(-2, 2)C)(-4, 0)D)(0, 4)
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04/27/21

Which of the following functions grows the fastest as x grows without bound?
Which of the following functions grows the fastest as x grows without bound?a)f(x) = x10b)g(x) = ln(x10)c)h(x) = 10xd)They all grow at the same ratemy answer is C
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04/27/21

Compare the growth rate of the functions f(x) = x^3 + 1 and g(x) = x^2
Compare the growth rate of the functions f(x) = x3 + 1 and g(x) = x2A)f(x) grows faster than g(x).B)g(x) grows faster than f(x).C)f(x) and g(x) grow at the same rate.D)It cannot be determined.My... more
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04/27/21

f is a function that is differentiable for all reals. The value of f '(x) is given for several values of x in the table below.
f is a function that is differentiable for all reals. The value of f '(x) is given for several values of x in the table below.x -8 -3 0 3 ... more
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04/27/21

f is a differentiable function on the interval [0, 1] and g(x) = f(2x). The table below gives values of f '(x). What is the value of g '(0.2)?

 f is a differentiable function on the interval [0, 1] and g(x) = f(2x). The table below gives values of f '(x). What is the value of g '(0.2)? x 0.1 ... more
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04/27/21

Use the graph of f(t) = 2t + 5 on the interval [-1, 4] to write the function F(x), where f of x equals the integral from 1 to x of f of t dt

Use the graph of f(t) = 2t + 5 on the interval [-1, 4] to write the function F(x), where  A)F(x) = 2x + 5B)F(x) = x2 + 5x - 6C)F(x) = x2 + 5x - 1D)F(x) = x2 + 6x
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04/27/21

The velocity of a particle moving along the x-axis
 The velocity of a particle moving along the x-axis is v(t) = t2 + 2t + 1, with t measured in minutes and v(t) measured in feet per minute. To the nearest foot find the total distance travelled by... more
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