1,125 Answered Questions for the topic AP Calculus

Ap Calculus

04/03/18

Application of Integrals

The base of a solid in the xy-plane is the first-quadrant region bounded y = x and y = x^2. Cross sections of the solid perpendicular to the x-axis are equilateral triangles. What is the volume, in... more

03/28/18

Find the area of the region enclosed by the graphs y=e^x and y=e^(0-x) by partitioning the x-axis with x=1

This is a calculus question about finding the area between two graphs by partitioning the x-axis using integrals.
Ap Calculus

03/27/18

AP Calculus: Area bound by curves.

Find the area of the region bounded by the curves y = sin^-1(x/2), y = 0, and x = 2 obtained by integrating with respect to y. Please include the definite integral and the antiderivative.
Ap Calculus

03/26/18

Volume of a Solid with Integrals

What's the integral that will find the volume of the solid that is formed when the region bounded by the graphs of y = e^x, x = 1, and y = 1 is revolved around the line y = -2?
Ap Calculus

03/25/18

Mean Value Theorem for Integrals

Determine if the Mean Value Theorem for Integrals applies to the function f(x) = 3 - x2 on the interval [0,√3]. If so, find the x-coordinates of the point(s) guaranteed by the theorem.
Ap Calculus

03/24/18

Help with Integrals

What is the integral that will find the volume of the solid that is formed when the region bounded by the graphs of y = ex, x = 2, and y = 1 is revolved around the line y = -1?
Ap Calculus

03/24/18

Calculus Help

The region in the first quadrant bounded by the x-axis, the line x = ln(π), and the curve y = sin(e^x) is rotated about the x-axis. What is the volume of the generated solid?
Ap Calculus Calculus Ap Calc Rate

01/06/18

How do I solve this? (question too long)

The top of a 15-foot-long ladder rests against a vertical wall with the bottom of the ladder on level ground, as shown above (it's just a ladder leaning against a wall). The ladder is sliding down... more

i need help with ap calc someone please

I have to do a writing project choosing a theorem and i chose the mean value theorem for derivatives, these are the three questions help me with  question b! a) state the conditions necessary to... more
Ap Calculus Math Calculus Pre Calculus

12/02/17

Can you help me with the Pre-Calculus word problem?

Gretchen's garden measured 10 feet long by 12 feet wide. Gretchen decreased the length each side of the garden by the same amount and decreased the area by one third. By how many feet did Gretchen... more
Ap Calculus Math Calculus

12/02/17

How do I solve this Pre Calculus problem?

How do I determine which consecutive integers the real zeros of f (x)=3x^4+x^3-2x^2+4 are between?
Ap Calculus Calculus Pre Calculus

11/28/17

How do I solve this Pre-Calculus problem?

List all possible rational zeros of f (x)= 2x^3-4x^2+5x-3. Then determine the rational zeros.
Ap Calculus Calculus Pre Calculus

11/21/17

Can you help me with this Pre-Calculus Problem?

How do I find the number of real zeros for the function f (x)= x^3-2x^2-8x?
Ap Calculus Math Calculus Derivatives

10/26/17

Write in terms of sin2x and cos2x. Find f'(x) for f(x)=tan^4(3x)

We have done this problem writing in terms of sin3x and cos3x, but never sin2x and cos2x when the equation has 3x. This is a super important problem for extra credit and I don't understand how to... more
Ap Calculus Math Calculus Derivatives

10/25/17

Write in terms of sin2x and cos2x. Find f'(x) for f(x)=tan^4(3x)

 We have done this problem writing in terms of sin3x and cos3x, but never sin2x and cos2x when the equation has 3x. This is  a super important problem for extra credit and I don't understand how to... more
Ap Calculus Math Pre Calculus Graphing

10/22/17

How do I write the function form y=f(x) for each set of conditions?

A. Verticle asymtote at x=1, hole at x=0   holes at x=-1 and x=0, resembles y=x^2
Ap Calculus Math Calculus Pre Calculus

10/22/17

How do I find the asymptotes of a function?

How do I find the asymtotes of the functions   y=x/x^2+2x+1   y=x-1/x^5-4x^3   y=5x^2-10x+1/x/2
Ap Calculus Math Calculus Pre Calculus

10/20/17

How do I create a form of y=f(x) that satisfies each set of conditions. Can someone please help?

How do I create a form of y=f(x) that satisfies each set of conditions:   A. Verticle asymptote at x=4, hole at x=0   B. Verticle asymtotes at x=-5 and x=1, hole at x= -1   C. Holes at x=3... more

How are each of these equations different from the parent graph?

y=1/x^2   A. y=1/x^2+3   B. y=1/(x+9)^2   C. y=1/(x+5)^2-1   E. y= -1/(x-2)

03/06/17

Shortest length of a road

Two corridors 3m and 4m wide meet at right angles. Find the length of the shortest thin straight road that can pass horizontally around the corner.

01/04/17

The point (-3, 3) lies on the terminal side of an angle in standard position. Find the value of theta in degrees.

Anybody know how to solve it and what's the answer?

11/28/16

Water leaking onto a floor forms into a circular pool.

The radius of the pool increases at a rate of 5 cm/min. How fast is the area of the pool increasing when the radius is 5 cm?     Related Rates of AP Calculus!!!! Please help!!!

11/28/16

A crowd gathers around a movie star, forming a circle.

The radius of the crowd increases at a rate of 6 ft/sec. How fast is the area taken up by the crowd increasing when the radius is 14 ft?    Related Rates of AP Calculus!!!! Please help!!!!

11/28/16

Oil spilling from a ruptured tanker spreads in a circle on the surface of the ocean.

The radius of the spill increases at a rate of 8 m/min. How fast is the area of the spill increasing when the radius is 8 m?   Related Rates of AP Calculus!!!!Please help!!!!!

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