Newest AP Calculus Questions | Wyzant Ask An Expert

1,125 Answered Questions for the topic AP Calculus

08/12/15

find area under curve

Using the left-had approximation method with 5 equal subintervals, find the area under the curve f(x)=√(1+x3) on the interval [0,1]. a.) 1.074 b.) 1.156 c.) 2.356 d.) 1.110

Follows • 2

Answers •1

Ap Calculus Calculus Integrals Ap Calc

08/12/15

solving using integrals

if I have a graph of f(x) and I want to find (on the top of the integral sign is 5, and on the bottom is -2) ∫f(x)dx what would ∫f(x)dx equal?... (if the graph has points at (-5,2) (-2,0)... more

Follows • 2

Answers •1

Ap Calculus Calculus Integral

08/12/15

integrals for area between curves

what integral formula would represent the area between the curves f(x)=-x2+2x+3 and g(x)=x+1 on the interval [-1,2]?

Follows • 3

Answers •2

Ap Calculus Calculus Ap Calc Integral

08/12/15

solving integrals

∫ ( (dx)/√(x2+36) )=_____________ a. ( (√(x2+36)+x)/6 )+C b. ln abs( (x+6)/(√(x2+36)) )+C c. ln ( (√(x2+36)+x)/6 )+C

Follows • 3

Answers •2

Ap Calculus Calculus Trigonometry Ap Calc

08/12/15

trigonometric substitution to evaluate integral

Which trigonometric substitution can be used to evaluate the integral: ∫ ( (dx)/(√(a2+x2)) ) ...? x= a tanθ x=a sinθ x=a secθ

Follows • 2

Answers •1

Ap Calculus Calculus Integrals Ap Calc

08/12/15

solving integrals

∫ ( (x+3)/√(1-x2) )dx=_____________

Follows • 2

Answers •1

Ap Calculus Calculus Ap Calc Calc

08/12/15

what is the antiderivative?

what would be the antiderivative of f(x)=12x3-9x2+8x-3 I believe it would be 3x4-3x3+4x2-3x+7 , is that correct?

Follows • 3

Answers •2

Ap Calculus Calculus Derivative Ap Calc

08/12/15

second derivatives

Using the second order derivative equation: ( (d2y)/(dx2) )-9y=o Which of the following would be true? y= e3x y=e-3x y=2e-3x y=xe3x

Follows • 2

Answers •1

Ap Calculus Calculus Integral Substitution

08/11/15

substituting a value into an integrand

if the substitution √(x)=sin(y) is made into the integrand of (with the upper limit of: 1/2 and the lower limit of: 0) ∫ ( (√(x) )/( (√(1-x) )dx , the resulting integral is _______________.

Follows • 2

Answers •1

Ap Calculus Calculus Integrals Calc

08/11/15

Word problem using rate of change and integrals

A giant spherical snowball is melting such that its radius decreases at a rate of 5 mm per hour. How fast is the surface area changing when the diameter is two meters? How fast is the volume... more

Follows • 3

Answers •2

Ap Calculus Calculus Tangent

08/11/15

find tangent and ppoints on curve where there is a horizontal or vertical tangent

If I have the equation x3+3xy2+y3=1 What would be the equation for the tangent line when x=0, and what are all the points on the curve where the curve has a horizontal or vertical tangent? (I... more

Follows • 2

Answers •1

Ap Calculus Calculus Differentiation

08/11/15

continuous and differentiable function

Let f be a continous function on interval [-1, 9] and differentiable on (-1, 9). If f(-1) = 2 and f(9) = 7, then which of the following are necessarily true? i. f'(c)= (1/2) for some c... more

Follows • 2

Answers •1

Ap Calculus Calculus Absolute Maximum

08/11/15

what is the absolute maximum

If f(x)= ((1/4)x4)+((1/3)x3)-(2x2)-(4x)+6 for x in the interval [–4,10], then f has an absolute maximum at ______.

Follows • 2

Answers •1

Ap Calculus Calculus

08/11/15

relative min and max

What is the total number of relative maximum and minimum points of the function whose derivative for all x is given by f ‘ (x) = x(x – 3)^2 (x + 1)^4 ?

Follows • 3

Answers •2

Ap Calculus Calculus Mean Value Theorem

08/11/15

application of mean value theorem

The function f(x)= x(2/3) on [-8,8] does not satisfy the conditions of the mean-value theorem because... A. f(0) is not defined. B. f(x) is not continuous on [-8,8]. C. f ‘... more

Follows • 3

Answers •2

Ap Calculus

05/26/15

Find the area bounded by the curve x = y3 - 2y2 - 3y and the y-axis.

Calculus question that i am having trouble with

Follows • 2

Answers •2

Ap Calculus

02/24/15

The function f is continuous and non-linear for -3 is equal and less than x is equal and less than 7 and f(-3)=5 and f(7)=-5.

If there is no value of c on -3<x<7 for which f'(c)=-1, which of the following statements must be true? a) for come c on -3<c<7, f'(c)<-1 b) For some c on -3<c<7, f'(c)>-1... more

Follows • 2

Answers •1

Ap Calculus

01/04/15

whats the inverse of the function of y= 3x2 -2x +1

3x2 -2x +1

Follows • 3

Answers •2

Ap Calculus Calculus Derivative Ap Calc

11/23/14

double derivative y^3-xy=5 PLEASE HELP!!!

i just cant get why i got this wrong and i cant find the answer online, please tell me the answer and how to do this step by step, thank you so much!!

Follows • 1

Answers •1