1,125 Answered Questions for the topic AP Calculus

Ap Calculus Math Calculus

03/01/21

Find dy dx for the parametric equations x equals one half t squared and y = t2 + t
Find  for the parametric equations  and y = t2 + t A B C 2 D
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Ap Calculus Math Calculus

03/01/21

A particle moves in the x-y plane for t > 0 so that x(t) = t3 - 4t and y(t) = et. At time t = 1, the particle is moving
A particle moves in the x-y plane for t > 0 so that x(t) = t3 - 4t and y(t) = et. At time t = 1, the particle is moving A to the left and up B to the right and up C to the left and... more
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Ap Calculus

02/28/21

Cross-Section Volume

Find the volume of the solid formed by a base with the region bounded by the graphs of y = x^1/2, y = 0 and x = 2, and cross-sections that are squares perpendicular to the x-axis.
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Ap Calculus Calculus

02/26/21

Mean value free response?
The continuous function f is defined on the closed interval [-5,5]. The graph of f consists of a parabola and two line segments. Let g be a function such that g'(x)=f(x). There is no value of x in... more
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Ap Calculus Math Calculus

02/24/21

Determine the area of the inner loop of the polar curve r = 1 − 2 sin (θ)
Determine the area of the inner loop of the polar curve r = 1 − 2 sin (θ)Type your answer in the space below and give 3 decimal places. If your answer is less than 1, place a leading "0" before the... more
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Ap Calculus Math Calculus

02/24/21

Find the area of the region that is inside the graph of r = 5 sin θ and outside of the graph of r = 2 + sin θ
Find the area of the region that is inside the graph of r = 5 sin θ and outside of the graph of r = 2 + sin θ A 10.109 B 3.323 C 6.646 D 20.219
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Ap Calculus Math Calculus

02/24/21

Find the area enclosed by the cardioid r = 6 + 6 cos θ

Find the area enclosed by the cardioid r = 6 + 6 cos θ A 9π B 54π C 27π D 108π
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Ap Calculus Math Calculus

02/24/21

Find the area of one petal of the polar curve r = 5sin 2θ
Find the area of one petal of the polar curve r = 5sin 2θ A B C D π
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Ap Calculus Math Calculus

02/24/21

Find the point(s) of intersection for the polar curves with equations r = 6 cos θ and r = 4 − 2 cos θ
Find the point(s) of intersection for the polar curves with equations r = 6 cos θ and r = 4 − 2 cos θ A B C D 0, π
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Ap Calculus Math Calculus Precalculus

02/24/21

The CPI and Beyond Math
If it cost $6 to fill a gas tank in 1970, how much would it have cost to fill the same tank in 2010? Thank you so much for the help.1960: Price = $0.31Price as a percentage of 1970 price =... more
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Ap Calculus Math Calculus

02/23/21

Find the arc length of the curve from t = 0 to t = 4 whose derivatives in parametric form are dx dt equals the sine of t and dy dt equals the natural log of the quantity t squared plus 2 .

Find the arc length of the curve from t = 0 to t = 4 whose derivatives in parametric form are  and  .Type your answer in the space below and give 2 decimal places. If your answer is less than 1,... more
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Ap Calculus Math Calculus

02/23/21

What is the length of the curve x = y3/2 from y = 0 to y = 4?
What is the length of the curve x = y3/2 from y = 0 to y = 4? A None of the choices below B C D
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Ap Calculus Math Calculus

02/23/21

What is the length of the path along the graph of y equals the square root of the quantity 16 minus x squared between x = 2 and x = 4?

What is the length of the path along the graph of  between x = 2 and x = 4? A B C D
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Ap Calculus Math Calculus

02/23/21

What is the length of the curve with parametric equations x = 1 - 2cos(t), y = 2 - 2sin(t) from t = 0 to t = π ?
What is the length of the curve with parametric equations x = 1 - 2cos(t), y = 2 - 2sin(t) from t = 0 to t = π? A 8 B 4 C 8π D 2π
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Ap Calculus Math Calculus

02/23/21

A point has a position vector given by r of t equals the vector with components t, 4 , for all time t ≥ 0 seconds. Find the speed of the object at t = 3 seconds.
A point has a position vector given by  , for all time t ≥ 0 seconds. Find the speed of the object at t = 3 seconds A B 1 C 0 D
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Ap Calculus Math Calculus

02/23/21

Find the magnitude of a particle's acceleration vector at t = 0 for a particle moving with position vector r of t equals components the cosine of t, t cubed
Find the magnitude of a particle's acceleration vector at t = 0 for a particle moving with position vector  A 1 B 0 C 2 D 3
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Ap Calculus Math Calculus

02/23/21

What is the velocity vector for a moving particle with a position vector r of t equals the components 2 over t, the natural log of t ?

What is the velocity vector for a moving particle with a position vector  ? A B C D
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Ap Calculus Math Calculus

02/23/21

What is the direction of the vector r of t equals the vector with components 1, 1 ?
What is the direction of the vector  ? A 1 B C D
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Ap Calculus

02/22/21

b. How many people are in the museum after 10 hours?
this is part b from my last questionhere is the full question: The graph below shows the rate of change for the number of people in a museum 𝑡 hours after it opens.a. How many people are in the... more
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Ap Calculus Math Calculus

02/22/21

The components of a position vector of a particle moving in the plane are components 2 times t squared, cosine of t . What is the distance traveled by the particle from t = 0 to t = π?
The components of a position vector of a particle moving in the plane are  . What is the distance traveled by the particle from t = 0 to t = π?Type your answer in the space below and give 3... more
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Ap Calculus Math Calculus

02/22/21

A point has a position vector given by r of t equals the vector with components t, 4 , for all time t ≥ 0 seconds. Find the speed of the object at t = 3 seconds
A point has a position vector given by  , for all time t ≥ 0 seconds. Find the speed of the object at t = 3 seconds A B 1 C 0 D
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Ap Calculus Math Calculus

02/22/21

Find the magnitude of a particle's acceleration vector at t = 0 for a particle moving with position vector r of t equals components the cosine of t, t cubed
Find the magnitude of a particle's acceleration vector at t = 0 for a particle moving with position vector   A 1 B 0 C 2 D 3
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Ap Calculus Math Calculus

02/22/21

What is the velocity vector for a moving particle with a position vector r of t equals the components 2 over t, the natural log of t ?
What is the velocity vector for a moving particle with a position vector  ? A B C D
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Ap Calculus Math Calculus

02/22/21

What is the direction of the vector r of t equals the vector with components 1, 1 ?

What is the direction of the vector  ? A 1 B C D
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Ap Calculus Calculus Pre Calculus

02/22/21

If tan θ = 4/9 and cot ϕ = 7/5 , find the exact value of sin ( θ + ϕ ) .
I'm stuck on this question. Please provide an answer to this question!If tan θ = 4/9 and cot ϕ = 7/5 , find the exact value of sin ( θ + ϕ ) You do not need to simplify any radicals.sin(θ+ϕ)=
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