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662 Answered Questions for the topic AP Calculus

Ap Calculus

3h

Let f be a differentiable function such that f(9) = 18 and f'(9) = 7. If g is the function defined by g(x) = f(x)/√x, what is the value of g'(9)?

Let f be a differentiable function such that f(9) = 18 and f'(9) = 7. If g is the function defined by g(x) = f(x)/√x, what is the value of g'(9)?A) 2B) 7/3C) 8/3D) 42
Ap Calculus

1d

Let f be a differentiable function such that f(3) = 4 and f'(3) = 5. If g(x) = x2f(x), what is the value of g'(3)?

Let f be a differentiable function such that f(3) = 4 and f'(3) = 5. If g(x) = x2f(x), what is the value of g'(3)?A) 11B) 24C) 30D) 69
Ap Calculus

6d

Derivative Rules

Explain the rules applied and find the derivative of the following equation.A(t) = t2e5-t
Ap Calculus Calculus Apcalc

8d

indefinite integral

x(4x+5)^8 dxevaluate the indefinite integral
Ap Calculus Calculus Apcalc

8d

indefinite integrals

(tan^-1(7x))/(1+49x^2) dx evaluate the indefinite integral
Ap Calculus

9d

Volumes: Cylindrical Shells

Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about y = -3.
Ap Calculus

9d

Volume: Cylindrical Shells

Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the y-axis.
Ap Calculus

9d

Volumes: Cross-Sectionals

Find the volumes of the solids whose bases are bounded by the circle x2 + y2 = 4, with the indicated cross sections taken perpendicular to the x-axis.(a)semi-circles(b) isosceles right triangles
Ap Calculus

9d

Let f be the function given by f(x) = 3 sin x + 8e. What is the value of f'(0) *f prime*)

Let f be the function given by f(x) = 3 sin x + 8e. What is the value of f'(0) *f prime*) A) 3B)5C)8D)11
Ap Calculus

10d

Let f be the function given by f(x) = 2 cos x + 3ex. What is the value of f'(0)?

Let f be the function given by f(x) = 2 cos x + 3ex. What is the value of f'(0)?A) 3B) 5C) 8D) 11
Ap Calculus

10d

Let f be the function given by f(x) = 2 cos x + 3ex. What is the value of f'(0)?

Let f be the function given by f(x) = 2 cos x + 3ex. What is the value of f'(0)?A) -3B) 0C) 3D) 5
Ap Calculus

10d

The limit as x approaches 0 gets closer to 2 to the x power - 1 over x equals?

Lim 2x-1/x =x-->0A) 0B) ln2C) 1D) 1/ln2Side Note- the limit as x approaches 0 gets closer to 2 to the x power - 1 over x equals?
Ap Calculus

10d

The limit as x approaches 2 gets closer to f(2)-f(x) over x-2 equals?

3) If f(x) = ln(x) , then lim f(2)-f(x) / x-2 = x->2 А) -ln(2) -1/2 C) 1/2 D) ln 2Side note- the limit as x approaches 2 gets closer to f(2)-f(x) over x-2... more
Ap Calculus

10d

The limit as x approaches 0 closer o 5 to the x power - 1 over x equals?

2) lim 5X -1 / x = x->0 A) 0b) ln 5C) 5 ln 5D) 1Side note- the limit as x approaches 0 closer o 5 to the x power - 1 over x equals?
Ap Calculus

10d

If f(x) = sin x, then lim 2pi)-f(x) / x-2 pi equals? x->2pi (2pi)-f(x) / x-2 pi =

If f(x) = sin x, then lim 2pi)-f(x) / x-2 pi equals? x->2pi (2pi)-f(x) / x-2 pi =A) -2 pi B) -1C) 1D) 2 pSide Note- If confused it's asking what is the... more
Ap Calculus

12d

Find the derivative of f(x)= ex / sec(x)

Find the derivative of f(x)= ex / sec(x)
Ap Calculus

13d

Ap Calculus unit 4 frq

Water is flowing into and out of a small reservoir. The total amount of water can be modeled by R(t) = 20 -15sin(t^2/25) cubic feet, t is measured in hours, and 0≤ t ≤ 8.a) What is the average rate... more
Ap Calculus

13d

What dimensions will minimize the cost of a tank with a volume of 5920 cubic feet, whose hemispherical ends cost twice as much as the sides per square foot of surface area?

A solid is formed by adjoining two hemispheres to the ends of a right circular cylinder. An industrial tank of this shape must have a volume of 5920 cubic feet. The hemispherical ends cost twice as... more
Ap Calculus

14d

ap calculus ab frq

Consider the curve given by the equation (y^2)-(2(x^2)y)=3a) Find dy/dx. b) Write an equation for the line tangent to the curve at the point (1, –1). c) Find the coordinates of all points on the... more
Ap Calculus

14d

ap calculus ab frq

Water is flowing into and out of a small reservoir. The total amount of water can be modeled by R(t) = 20 -15sin(t^2/25) cubic feet, t is measured in hours, and 0≤ t ≤ 8.a) What is the average rate... more
Ap Calculus

15d

If g is the function defined above, then g'(3) is...?

g(x) = { 3-x for x<3 4x-12 for x≥3If g is the function defined above, then g'(3) is...?A) -1B) 0C) 4D) nonexistent
Ap Calculus

17d

Let f be the function defined above . Which of the following statements is true ?

f(x)={ x2 -20 for x<5 {-x2 +20 for x≥5 Let f be the function... more
Ap Calculus

17d

Let f be the function defined above. Which of the following statements is true?

f (x)= { 2 for x<5 { 2x-4 for x≥5 Let f be the function defined above. Which of the following statements is true?A) f is not differentiable at x = 5 because f is not... more
Ap Calculus

18d

Which of the following statements about the function f, if true, cannot be used to conclude that f is defined at x=1?

Which of the following statements about the function f, if true, cannot be used to conclude that f is defined at x=1?A) Lim x-->1 f(x) existsB) f is continuous at x=1C) f is differentiable at... more
Ap Calculus

18d

Which of the following statements, if true, cannot be used to conclude that f(0) exists?

Which of the following statements, if true, cannot be used to conclude that f(0) exists?A) Lim x-->0 f(x) existsB) F is continuous at x=0C) F is differentiable at x=0D) The graph of f has a... more
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