1,125 Answered Questions for the topic AP Calculus

Ap Calculus Math Calculus

03/09/21

Find the sum of the infinite series whose sequence of partial sums, Sn, is S sub n equals 10 minus the quotient of 1 and the quantity n plus 1

Find the sum of the infinite series whose sequence of partial sums, Sn, is   A 10 B 0 C 9.99 D Sum does not exist
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Ap Calculus Math Calculus

03/08/21

I need help finding a tangent line
So I'm supposed to find the tangent line of the anti derivative of y=(y^2)/(x-1) when x = 2. I think I keep messing stuff up so if someone could explain that would be great.
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03/08/21

Please Help I don't understand
 The third-degree Taylor polynomial for a function f about X=2 is1+(1/3)(x-2)+(1/2)(x-2)^2+(9/32)(x-2)^3What is the value of f'''(2)
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03/08/21

What is the coefficient of X^12 in the Maclaurin series for (cos(3x^3))/4
This is all the information I got and I really don't understand it
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Ap Calculus Math Calculus

03/07/21

Find the sum, if it exists, of the infinite geometric series, 3 minus 3 over 5 plus 3 over 25 minus 3 over 125 plus etc

Find the sum, if it exists, of the infinite geometric series,   A 1 B C D Sum does not exist
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Ap Calculus Math Calculus

03/07/21

Write the recurring decimal 0.aaaaaa… as a fraction.

Write the recurring decimal 0.aaaaaa… as a fraction. A B C D
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Ap Calculus Math Calculus

03/07/21

Which of these sequences whose nth term is given below is increasing?
Which of these sequences whose nth term is given below is increasing? (4 points) A B C D
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Ap Calculus Math Calculus

03/07/21

What is the nth term of the sequence whose first three terms are A + k, A2 + 2k, A3 + 3k, A4 + 4k, …?
What is the nth term of the sequence whose first three terms areA + k, A2 + 2k, A3 + 3k, A4 + 4k, …? A An + nk B A + 2nk C An + k - 2nk D An + 2nk
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Ap Calculus Math Calculus

03/07/21

Find the first term of the sequence the quotient of the product of the quantity negative 1 raised to the n plus 1 power and 3 raised to the n plus 1 power and the quantity 5 times n plus 1...
Find the first term of the sequence  , n = 0, 1, 2, …. A B C 3 D −3
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Ap Calculus Math Calculus

03/04/21

Find the area of the region that is inside the curve r = sin θ and outside the curve r = 1 + cos θ. Your work must include the integral, but you may use your calculator to find...
Find the area of the region that is inside the curve r = sin θ and outside the curve r = 1 + cos θ. Your work must include the integral, but you may use your calculator to find the area to 3... more
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Ap Calculus Math Calculus

03/04/21

Set up, but do not evaluate, the integral that represents the length of the curve given by x = t - t2, y equals 4 thirds times t raised to the 3 halves power , over the interval 1 ≤ t ≤ 2
Set up, but do not evaluate, the integral that represents the length of the curve given byx = t - t2,  , over the interval 1 ≤ t ≤ 2
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Ap Calculus Math Calculus

03/04/21

Find the exact value of the slope of the line which is tangent to the curve given by the equation r = 2 + cos θ at theta equals pi over 2 . You must show your work.
Find the exact value of the slope of the line which is tangent to the curve given by the equationr = 2 + cos θ at  . You must show your work.
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Ap Calculus Math Calculus

03/04/21

Determine the concavity of the curve with parametric equations x = t2, y = t3 - 3t at t = 2. Justify your answer.
Determine the concavity of the curve with parametric equations x = t2, y = t3 - 3t at t = 2. Justify your answer.
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Ap Calculus Math Calculus

03/02/21

Find the equation of the curve that passes through the point (x, y) = (0, 0) and has an arc length on the interval x is between 0 and pi over 4 inclusive given by the integral the integral fro...
Find the equation of the curve that passes through the point (x, y) = (0, 0) and has an arc length on the interval  given by the integral   A y = sin(x) B y = cos(x) C y = cos-1(x) D y =... more
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Ap Calculus Math Calculus

03/02/21

The position vector of a particle moving in the x-y plane is vector components 2 times the cosine of t, 4 times the sine of t in the interval [0, 2π). For what value(s) of t does the path...
The position vector of a particle moving in the x-y plane is  in the interval [0, 2π). For what value(s) of t does the path of the particle have a horizontal tangent? A 0, π B C D None of... more
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Ap Calculus Math Calculus

03/02/21

Find the slope of the tangent line when theta equals pi over 4 for the polar graph r = 4 cos θ.
Find the slope of the tangent line when  for the polar graph r = 4 cos θ A 1 B -1 C 0 D
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Ap Calculus Math Calculus

03/02/21

Which of the following is the Cartesian equation for the polar equation r sin θ = 6?

Which of the following is the Cartesian equation for the polar equation r sin θ = 6? A y = 6 B x = 6 C x + y = 6 D x - y = 6
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Ap Calculus Math Calculus

03/02/21

Find the value of dy dx at t = 0 for the parametric equations x = 4 sin (t), y = cos (2t).

Find the value of  for the parametric equations x = 4 sin (t), y = cos (2t) A 1 B 0 C -1 D undefined
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Ap Calculus Math Calculus

03/02/21

Convert the parametric equations x = t + 4, y = t2 into a Cartesian equation
Convert the parametric equations x = t + 4, y = t2 into a Cartesian equation A y = x2 + 16 B C y = x2 - 8x + 16 D
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Ap Calculus Math Ap Advanced Placement

03/01/21

A company rents water tanks shaped like cylinders. Each tank has a radius of 4 feet and a height of 3 feet. The cost is $5 per cubic foot. How much does it cost to rent one water tank?
Use 3.14 for π, and do not round your answer.
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Ap Calculus Math Calculus

03/01/21

A projectile moves with a position vector so that its horizontal component is x(t) = 140t and its vertical component is y(t) = -5t2. Which of the following is the vertical component of the...
A projectile moves with a position vector so that its horizontal component is x(t) = 140t and its vertical component is y(t) = -5t2. Which of the following is the vertical component of the... more
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Ap Calculus Math Calculus

03/01/21

Find the slope of the tangent line to the graph of r = 1 + cos θ, at theta equals pi over 6

Find the slope of the tangent line to the graph of r = 1 + cos θ, at   A -1 B 0 C 1 D Undefined
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Ap Calculus Math Calculus

03/01/21

Which of the following is the Cartesian equation for the polar equation r = -6 sin (θ)?

Which of the following is the Cartesian equation for the polar equation r = -6 sin (θ)? A x2 + y2 = 9 B x2 + (y - 3)2 = 36 C x2 + (y + 3)2 = 9 D (x - 1)2 + y2 = 9
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Ap Calculus Math Calculus

03/01/21

Find the slope dy dx of the polar curve r = 1 + 2 sin θ at θ = pi over 2
Find the slope  of the polar curve r = 1 + 2 sin θ at θ =   A Undefined B 1 C -1 D 0
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Ap Calculus Math Calculus

03/01/21

Find d 2 y over d x squared for the curve given by x = 1 - t2 and y = 10t + 1
Find  for the curve given by x = 1 - t2 and y = 10t + 1 A B 0 C D None of these
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