1,125 Answered Questions for the topic AP Calculus

Ap Calculus Math Calculus

02/19/21

Find the slope of the tangent line to the polar curve r = 2 sin θ at the point where theta equals pi over 6
Find the slope of the tangent line to the polar curve r = 2 sin θ at the point where  A 0 B 1 C -1 D None of these
Follows • 1
Expert Answers •2
Ap Calculus Math Calculus

02/19/21

What is distance around the graph of r = 12 sin θ ?
What is distance around the graph of r = 12 sin θ ? A 6π B 36π C 12π D 144π
Follows • 1
Expert Answers •2
Ap Calculus Math Calculus

02/19/21

Find the polar coordinates for point P which has Cartesian coordinates 1 comma square root of 3
 Find the polar coordinates for point P which has Cartesian coordinates   A B C D
Follows • 1
Expert Answers •1
Ap Calculus Math Calculus

02/19/21

 Which of the following polar equations produces the same graph as the Cartesian equation x2 - y2 = 16?

 Which of the following polar equations produces the same graph as the Cartesian equation x2 - y2 = 16? A r = 4 B r2 cos θ = 16 C r cos θ = 16 D r2 cos 2θ = 16
Follows • 1
Expert Answers •1
Ap Calculus Math Calculus

02/18/21

For what value of t is the slope of the curve undefined for the graph defined by x = 8 - t3, y = t2 - 6t? Type your answer in the space below to the nearest whole number.
For what value of t is the slope of the curve undefined for the graph defined by x = 8 - t3, y = t2 - 6t?Type your answer in the space below to the nearest whole number.
Follows • 1
Expert Answers •1
Ap Calculus Math Calculus

02/18/21

Find d 2 y over d x squared for the curve given by x = 2t + 5 and y equals 3 times t over 2

Find  for the curve given by x = 2t + 5 and   A B C 1 D 0
Follows • 1
Expert Answers •1
Ap Calculus Math Calculus

02/18/21

Find the equation of the tangent to the curve at x = 1 for the parametric equations below:

Find the equation of the tangent to the curve at x = 1 for the parametric equations below: x = et, y = (t - 1)2 A y = 2x - 3 B y = -2x - 3 C y = -2x + 3 D y = 2x + 3
Follows • 2
Expert Answers •1
Ap Calculus Math Calculus

02/18/21

What is the slope of the tangent line to the parametric curve x = t2 + 2t, y = t2 + 1 at t = 1?
What is the slope of the tangent line to the parametric curve x = t2 + 2t, y = t2 + 1 at t = 1? A B C 4 D 2
Follows • 1
Expert Answers •1
Ap Calculus Math Calculus

02/18/21

Which of the following is the Cartesian equation for the parametric equation x = 2tan(t), y = 5sec(t)?

Which of the following is the Cartesian equation for the parametric equation x = 2tan(t), y = 5sec(t)? A y = x2 - 9, for x in [-3,3] B C D
Follows • 1
Expert Answers •1
Ap Calculus Calculus

02/16/21

Critical Point Question?

Let f be the differentiable function with a domain of (0, 10). It is known that f' (x), the derivative of f (x), is negative on the intervals (0, 2) and (4, 6) and positive on the intervals (2, 4)... more
Follows • 1
Expert Answers •1
Ap Calculus Math Calculus

02/16/21

Find the area between the graph of f of x equals the product of x and e raised to negative 1 times x squared power and the x-axis for the interval (0, ∞). Your work must include the proper notation...
Find the area between the graph of  and the x-axis for the interval (0, ∞). Your work must include the proper notation and show the antiderivative. If the integral diverges, show why.
Follows • 2
Expert Answers •2
Ap Calculus Math Calculus

02/16/21

The Department of Resources has decided to reintroduce mountain sheep to a particular area of Arizona by placing 100 sheep at the start of the project. The population, P, of the sheep...
The Department of Resources has decided to reintroduce mountain sheep to a particular area of Arizona by placing 100 sheep at the start of the project. The population, P, of the sheep is expected... more
Follows • 1
Expert Answers •1
Ap Calculus Math Calculus

02/16/21

Oil flows into a tank according to the rate F of t equals the quotient of t squared plus 1 and the quantity 1 plus t , and at the same time empties out at the rate E of t equals the quotient of the...
Oil flows into a tank according to the rate  , and at the same time empties out at the rate  , with both F(t) and E(t) measured in gallons per minute. How much oil, to the nearest gallon, is in the... more
Follows • 1
Expert Answers •1
Ap Calculus Math Calculus

02/16/21

The figure below shows the graph of f ', the derivative of the function f, on the closed interval from x = -2 to x = 6. The graph of the derivative has horizontal tangent lines at x = 2 and x = 4.
The figure below shows the graph of f ', the derivative of the function f, on the closed interval from x = -2 to x = 6. The graph of the derivative has horizontal tangent lines at x = 2 and x =... more
Follows • 1
Expert Answers •1
Ap Calculus Math Calculus Mathematics

02/16/21

Need help with math ASAP
Let f be the function defined by f(x)=4/(x^2).----------------------------------Approximate the value of 12(upper limit)∫1(lower limit) f(x) dx using a left Riemann sum with the... more
Follows • 1
Expert Answers •1
Ap Calculus Calculus

02/12/21

What is the rate of change for the penguin population on the island at time t=0? (AP Calculus AB)
The penguin population on an island is modeled by a differentiable function P of time t, where P(t) is the number of penguins and t is measured in years for 0≤t≤40. There are 100,000 penguins on... more
Follows • 1
Expert Answers •1
Ap Calculus

02/10/21

Use logarithmic differentiation to find dy/dx.

y ¯= x2 √x-7 , x > 7
Follows • 1
Expert Answers •2
Ap Calculus

02/10/21

Find two positive numbers such that the sum of twice the first number and three times the second number is 240 and the product is a maximum
Follows • 1
Expert Answers •1
Ap Calculus Calculus

02/10/21

AP Calculus Help

1. Which of the following functions of x is guaranteed by the Extreme Value Theorem to have an absolute maximum on the interval [0,4]?a. y= tanxb. y= tan-1xc. y= x2 - 16/(x2 + x -20)d. y= 1/(ex -... more
Follows • 1
Expert Answers •1
Ap Calculus Math Calculus

02/10/21

Which of the following integrals requires the method of repeated integration by parts?

Which of the following integrals requires the method of repeated integration by parts? A B C D
Follows • 1
Expert Answers •1
Ap Calculus Math Calculus

02/10/21

F of x equals the integral from 1 to x of the natural logarithm of t squared . Use your calculator to find f '(3)
 . Use your calculator to find f '(3) A 2.197 B 2.079 C 1.099 D 0.693
Follows • 1
Expert Answers •1
Ap Calculus Math Calculus

02/10/21

The rate at which a garden uses water is measured in thousands of gallons. If the usage rate is given by f(x), where x is the number of hours past midnight, which of the following gives the daily...

The rate at which a garden uses water is measured in thousands of gallons. If the usage rate is given by f(x), where x is the number of hours past midnight, which of the following gives the daily... more
Follows • 1
Expert Answers •1
Ap Calculus Math Calculus

02/10/21

Which of the following functions grows the fastest as x goes to infinity?

Which of the following functions grows the fastest as x goes to infinity? A f(x) =  B f(x) =  C f(x) =  D They all grow at the same rate as x goes to infinity.
Follows • 1
Expert Answers •1
Ap Calculus

02/10/21

Find two positive numbers satisfying the given requirements. The product is 152 and the sum is a minimum. (smaller value) (larger value)
Follows • 2
Expert Answers •1
Ap Calculus Math Calculus

02/09/21

Let f be the function defined by f(x) = −ln(x) for 0 < x ≤ 1. R is the region between the graph of f and the x-axis.
Let f be the function defined by f(x) = −ln(x) for 0 < x ≤ 1. R is the region between the graph of f and the x-axis. This question does not permit the use of a calculator. Determine whether... more
Follows • 1
Expert Answers •1

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.