1,126 Answered Questions for the topic AP Calculus

Ap Calculus Math Calculus Precalculus

01/23/20

Write the Riemann sum to find the area under the graph of the function f(x) = x^4 from x = 5 to x = 7.

Question options: 1) 2)  3)  4) 
Ap Calculus Math Calculus Precalculus

01/23/20

Write the integral that has the same value as the limit

The Riemann sum,  , is equivalent to  with  .Write the integral that produces the same value as  . Question options: 1) 2)  3)  4) 
Ap Calculus Math Calculus Precalculus

01/23/20

If the area under the curve of f(x) = 25 - x^2 from x = -4 to x = 0 is estimated using four approximating rectangles and left endpoints, will the estimate be an underestimate or overestimate?

Question options: 1) Underestimate 2)  Overestimate 3)  The area will be exact 4)  The area cannot be estimated with just four rectangles
Ap Calculus Math Calculus Precalculus

01/23/20

List x1, x2, x3, x4 where xi is the midpoint endpoint of the five equal intervals used to estimate the area under the curve of f(x) between x = 0 and x = 10.

Question options: 1) 2, 4, 6, 8, 10 2)  1, 3, 5, 7, 9 3)  0, 2, 4, 6, 8 4)  1, 2, 3, 4, 5
Ap Calculus Math Calculus Precalculus

01/23/20

Which of the following sums does not equal the others?

Question options: 1) 2)  3)  4) 
Ap Calculus Math Calculus Precalculus

01/22/20

Is the function True or False

Which of the following is true for  ?Question options: 1) There is a removable discontinuity at x = 3. 2)  There is a non-removable discontinuity at x = 3. 3)  The function is continuous for... more
Ap Calculus Math Calculus Precalculus

01/22/20

List discontinuities for function

List the discontinuities for the function f(x) = cot(  ). Question options: 1) n(  ), where n is an integer 2)  n(  ), where n is an integer 3)  n(  ), where n is an integer 4)  There are... more
Ap Calculus Math Calculus Precalculus

01/22/20

Is the function continuous

Is the function  continuous? Question options: 1) Yes 2)  No
Ap Calculus Math Calculus Precalculus

01/22/20

Find where equation is discontinuous

Where is  discontinuous? Question options: 1) f(x) is continuous everywhere 2)  1 3)  1, 4 4)  4
Ap Calculus Math Calculus Precalculus

01/22/20

Find value where f(x) is continuous everywhere

To two decimal places, find the value of k that will make the function f(x) continuous everywhere. Question options: 1) 1.88 2)  9.00 3)  3.76 4)  None of these
Ap Calculus Math Calculus Precalculus

01/22/20

Find limit using direct substitution

Find the limit of the function by using direct substitution.Question options: 1) Does not exist 2)  −6 3)  6 4)  0
Ap Calculus Math Calculus Precalculus

01/22/20

Find lim x --> 25

What is ?Question options: 1) 0 2)  -10 3)  1 4)  Does not exist
Ap Calculus Math Calculus Precalculus

01/22/20

Find lim x --> -2

What is ? Question options: 1) −∞ 2)  ∞ 3)  0 4)  −2
Ap Calculus Math Calculus Precalculus

01/22/20

Find the limit --> 0

Find .Question options: 1) 0 2)  Does not exist 3)  4) 
Ap Calculus Math Calculus Precalculus

01/22/20

Find lim x --> 1 f(x) using graph

Using the graph of f(x) below, find .Question options: 1) 2 2)  −1 3)  −2 4)  Does not exist
Ap Calculus Math Calculus Precalculus

01/20/20

Volume of Cylinder

The radius of a 12 inch right circular cylinder is measured to be 4 inches, but with a possible error of ±0.2 inch. What is the resulting possible error in the volume of the cylinder? Include units... more
Ap Calculus Math Calculus Precalculus

01/20/20

Find Maximum Volume

A 160-inch strip of metal 20 inches wide is to be made into a small open trough by bending up two sides on the long side, at right angles to the base. The sides will be the same height, x. If the... more
Ap Calculus Math Calculus Precalculus

01/18/20

Find maximum volume

A 160-inch strip of metal 20 inches wide is to be made into a small open trough by bending up two sides on the long side, at right angles to the base. The sides will be the same height, x. If the... more
Ap Calculus Math Calculus Precalculus

01/18/20

Find dy / dx for given equation

Find  for 4 - xy = y3. You must show your work to receive credit. 
Ap Calculus Math Calculus Precalculus

01/18/20

x-coordinates where f '(x) = 0

Find the x-coordinates where f '(x) = 0 for f(x) = 2x + sin(2x) in the interval [0, 2π]. 
Ap Calculus Math Calculus Precalculus

01/18/20

Use the table to evaluate d/dx

Use the table below to evaluate  at x = 1. x 1 2 3 4 f(x) 6 1 2 2 f '(x) 6 1 10 2 g(x) 1 4 4 3 g '(x) 4 5 7 -4
Ap Calculus Math Calculus Precalculus

01/18/20

Finding average velocity

A particle moves on a line away from its initial position so that after t hours it is s = 6t2 + 2t miles from its initial position. Find the average velocity of the particle over the interval [1,... more
Ap Calculus Math Calculus Precalculus

01/18/20

Evaluating limits

Evaluate  . You must show your work to receive credit. 

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