1,125 Answered Questions for the topic AP Calculus

Ap Calculus Math Calculus Precalculus

04/15/21

Please Help! solve the following questions based on the derivative of exponential functions.
Solve the following questions based on the derivative of exponential functions. a) If f(x) = 1/3 (e3x + e-3x), calculate f'(1). b) If f(x) = e-(1/x+1) (1 over all of x+1), calculate... more
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Ap Calculus Math Calculus Precalculus

04/15/21

Curve Sketching Question, Please Help, Thank you.
 Use the algorithm for curve sketching to sketch the function f(x) = x3 - 9x2 +15x +30. To ensure to show y', critical point, increase and decrease intervals, maximum and minimum, y'', concavity,... more
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Ap Calculus Math Calculus

04/14/21

Help with Optimization Problem

A net enclosure for practicing golf shots is open at one end, as shown. Find the dimensions that will minimize the amount of netting needed and give a volume of 144m3. (Netting is required only on... more
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Ap Calculus Math Calculus

04/14/21

Please Help with Optimization Problem

A rancher has 1000m of fencing to enclose two rectangular corrals. The corrals have the same dimensions and one side in common. What dimensions will maximize the enclosed area? Show all work.
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Ap Calculus Math Calculus Precalculus

04/14/21

Differentiate each function. Please show all work/steps.
Differentiate each function. Express your answer in a simplified factored forma) f(x) = (x + 4)3(x - 3)6 b) f(x) = sin2(x3- 2x + 4)
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Ap Calculus Math Calculus

04/14/21

Use the first three non-zero terms of a Maclaurin series to estimate  .

Use the first three non-zero terms of a Maclaurin series to estimate  . 0.747 0.767 0.757 0.737
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Ap Calculus Math Calculus

04/14/21

Find the difference between the Taylor polynomial of degree 4 about the point 0 for cos(x) evaluated at x = 1, and cos(1).

Find the difference between the Taylor polynomial of degree 4 about the point 0 for cos(x) evaluated at x = 1, and cos(1).  for some c between 0 and 1  for some x between 0 and 1  for... more
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Ap Calculus Math Calculus

04/14/21

What is the x-coordinate where the graph of the function represented by the Maclaurin series  intersects the graph of y = x3 ?

What is the x-coordinate where the graph of the function represented by the Maclaurin series  intersects the graph of y = x3 ? 0.649 1.000 0.865 0.773
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Ap Calculus Math Calculus

04/14/21

Which of the following is the coefficient of x2 in the expansion of the Maclaurin series for f(x) = e5x?

 Which of the following is the coefficient of x2 in the expansion of the Maclaurin series for f(x) = e5x? 25
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Ap Calculus Math Calculus

04/14/21

determine the scalar and vector projections of p onto q.
For the vectors p = (3,6,-22) and q = (-4,5,-20), determine the scalar and vector projections of p onto q. Show all steps please.
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Ap Calculus Math Calculus Precalculus

04/14/21

Calculus Question: The vectors x and y are unit vectors...
The vectors x and y are unit vectors (vectors with magnitude 1) that make an angle of 30o with each other. Please show all work, thank you!a) Calculate the value of |2x - y|b) Determine the... more
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Ap Calculus Math Calculus

04/14/21

The power series  has a radius of convergence R = 2. Determine the interval of convergence.

The power series  has a radius of convergence R = 2. Determine the interval of convergence. (-1, 3) [-1, 3] (-1, 3] [-1, 3)
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Ap Calculus Math Calculus

04/14/21

What is the interval of convergence for the power series  ?

What is the interval of convergence for the power series  ? All reals (1, 1] [-1, 1]) x = 0 only
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Ap Calculus Math Calculus

04/14/21

What is the radius of convergence of the power series  ?

What is the radius of convergence of the power series  ? (-10, 10) 10 0
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Ap Calculus Math Calculus

04/14/21

By using the power series for  f(x), find the power series for g(x) .
By using the power series for  , find the power series for  .
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Ap Calculus Math Calculus

04/14/21

Which of the following power series is a geometric series?
 Which of the following power series is a geometric series? 1 + x + 2x2 + 3x3 + 4x4 + … 3 + 3x + 6x2 + 9x2 + 12x3 + … 1 - x2 + x4 - x6 + … None of these are a geometric series.
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Ap Calculus Math Calculus Precalculus

04/12/21

Given the vectors ||a|| = 8, ||b|| = 12, and ||a+b|| = 16, find all angles between each other
Given the vectors ||a|| = 8, ||b|| = 12, and ||a+b|| = 16, find all angles between each other
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Ap Calculus Math Calculus Physics

04/12/21

Convert the following direction into desired one requested in each case.
 a) Polar coordinate (3km/h (fraction form), 60o), convert into both true and quadrant bearing. b) Scalar component (-5, -10), convert into polar coordinate and true bearing.
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Ap Calculus Math Calculus Mathematics

04/12/21

I need some help with math

For 0 ≤ t ≤ 12 , a roller coaster car has position (x(t),y(t)) with velocity vector ⟨10, −tsin(πt/4)⟩ , where x(t) and y(t) are measured in meters and t is measured in seconds. At time ... more
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Ap Calculus Math Calculus

04/12/21

A function f has derivatives of all orders for all real numbers, x. Assume f(2) = −3, f ′(2) = 5, f ″(2) = 3 and the third derivative of f at x = 2 is −8.
Write the 3rd degree Taylor polynomial for f about x = 2 and use it to approximate f(1.5).
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Ap Calculus Math Calculus Physics

04/11/21

Please Help. Convert the following direction into desired one requested in each case.
 a) Polar coordinate (3km/h (fraction form), 60o), convert into both true and quadrant bearing. b) Scalar component (-5, -10), convert into polar coordinate and true bearing.
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Ap Calculus Math Calculus

04/11/21

What is the radius of convergence for a power series whose interval of convergence is (-10, -2)?

What is the radius of convergence for a power series whose interval of convergence is (-10, -2)? A 4 B -4 C 8 D -8
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Ap Calculus Math Calculus

04/11/21

What is the interval of convergence for the power series which begins 1 minus x plus x squared over 2 factorial plus x to the 4th power over 4 factorial and so on ?

What is the interval of convergence for the power series which begins  ? (2 points) A (-1, 1) B All reals C [-1, 1) D (-1, 1]
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Ap Calculus Math Calculus

04/11/21

Rewrite the summation from n equals 0 to infinity of the quotient of 4 raised to the nth power times x to the quantity n plus 1 power and the quantity n plus 3 with a lower limit of summation n = 4
Rewrite  with a lower limit of summation n = 4 A B C D
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Ap Calculus Math Calculus

04/11/21

Which of the following statements are true?
Which of the following statements are true? If the power series  converges for x = -2, then it also converges for x = 2. If the power series  converges for x = -3, then it also converges for x =... more
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