800 Answered Questions for the topic AP Calculus

Ap Calculus Math Calculus

14h

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
Ap Calculus Math Calculus

14h

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
Ap Calculus Math Calculus

14h

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
Ap Calculus Math Calculus

14h

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
Ap Calculus Math Calculus

14h

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
Ap Calculus Math Calculus

14h

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
Ap Calculus Math Calculus

14h

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
Ap Calculus

1d

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.
Ap Calculus Calculus

3d

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
Ap Calculus Math Calculus

4d

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
Ap Calculus Math Calculus

4d

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
Ap Calculus Math Calculus

4d

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
Ap Calculus Math Calculus

4d

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
Ap Calculus Math Calculus

4d

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
Ap Calculus Math Calculus

6d

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
Ap Calculus Math Calculus

6d

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
Ap Calculus Math Calculus

6d

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
Ap Calculus Math Calculus

6d

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
Ap Calculus Math Calculus

6d

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
Ap Calculus Math Calculus

6d

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
Ap Calculus Math Calculus

6d

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
Ap Calculus Math Calculus

6d

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
Ap Calculus

6d

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
Ap Calculus Math Calculus

7d

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
Ap Calculus Math Calculus

7d

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

Still looking for help? Get the right answer, fast.

Ask a question for free

Get a free answer to a quick problem.
Most questions answered within 4 hours.

OR

Find an Online Tutor Now

Choose an expert and meet online. No packages or subscriptions, pay only for the time you need.