Newest AP Calculus Questions | Wyzant Ask An Expert

12/14/20

How can I solve this?

Consider the curve defined by y^2=x^3−3x+3 for x>0. At what value of x does the curve have a horizontal tangent?a) √3 / 3b) 1c) √3d) There is no such valueThank you

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Ap Calculus Math Calculus Physics

12/14/20

I don't understand this...................

The total cost, in dollars, to order x units of a certain product is modeled by C(x)=7x^2+252. According to the model, for what size order is the cost per unit a minimum?A. An order of 1 unit has a... more

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Ap Calculus Math Calculus Physics

12/14/20

please help with math

A curve in the xy-plane is defined by the equation x^3/3+y^2/2−3x+2y=−1/6. Which of the following statements are true?i. At points where x=√3, the lines tangent to the curve are horizontal.ii. At... more

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Ap Calculus

12/13/20

please help!!!! f is given by f(x)=1/7x7+1/2x6-x5-15/4x4+4/3x3+6x2. What is true?

f is given by f(x)=1/7x7+1/2x6-x5-15/4x4+4/3x3+6x2. What is true?A)f')-3.1) < f'(-1.5) < f'(0.4)B) f'(3.1) < f'(0.4) < f'(-1.5)C) f'(-1.5) < f'(0.4) < f'(-3.1)D) f'(0.4) <... more

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Ap Calculus

12/12/20

What do I do when a number has two variables

4xy-2x^2=3xSo for the 4xy, what do I do?

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Ap Calculus

12/12/20

f is given by f(x)=1/7x7+1/2x6-x5-15/4x4+4/3x3+6x2. What is true?

f is given by f(x)=1/7x7+1/2x6-x5-15/4x4+4/3x3+6x2. What is true?A)f')-3.1) < f'(-1.5) < f'(0.4)B) f'(3.1) < f'(0.4) < f'(-1.5)C) f'(-1.5) < f'(0.4) < f'(-3.1)D) f'(0.4) <... more

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Ap Calculus

12/12/20

Which of the following statements is true

f(x)= {3x=1 for x≤2 {5x-3 for x>2Which of the following statements is true. the function is defined aboveA) f is neither continous nor differentiable at x=2B) f is continous but not... more

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Ap Calculus

12/12/20

Lt f be the functin given by f(x)=2x^3. If the values in the table are used to estimate f'(0.5), what is the difference between the estimation and the actual value of f'(0.5)?

X : 0 1f(x): 1 2Lt f be the functin given by f(x)=2x^3. If the values in the table are used to estimate f'(0.5), what is the difference between the estimation and the actual value of f'(0.5)?A)... more

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Ap Calculus

12/12/20

The derivative of the function f is given by f'(x) = -3x + 4 for all x, and f(-1) = 6. Which of the following is an equation of the line tangent to the graph of f at x=-1

The derivative of the function f is given by f'(x) = -3x + 4 for all x, and f(-1) = 6. Which of the following is an equation of the line tangent to the graph of f at x=-1A) y= -3x +3B) y= -3x +4C)... more

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Ap Calculus Calculus

12/11/20

What is the largest area rectangle that can be inscribed within the region enclosed by the curve 𝑦=24−2𝑥^2 and the x-axis?

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Ap Calculus

12/11/20

If e2y-e(y^2-y)=x4-x,2 then the value of dy/dx at the point (1,0) is

If e2y-e(y^2-y)=x4-x,2 then the value of dy/dx at the point (1,0) isA) 0B) 1/2C) 2/3D) 2

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Ap Calculus Math

12/09/20

Finding Relative Max

If the derivative of f is given by f'(x)=e^x-3x^2 at which of the following values of x does f have a relative maximum value?a) -0.46b) 0.20c) 0.91d) 0.95e) 3.73

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Ap Calculus

12/08/20

Find (f^-1)'(0)

Find (f^-1)'(0), if f(x) = ∫₂^x (dt)/(sqrt(1+t^4)),f(2) = 0

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Ap Calculus

12/02/20

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

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Ap Calculus

12/01/20

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

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Ap Calculus

11/26/20

Derivative Rules

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

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Ap Calculus Calculus Apcalc

11/24/20

indefinite integral

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

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Ap Calculus Calculus Apcalc

11/24/20

indefinite integrals

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

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Ap Calculus

11/23/20

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.

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Ap Calculus

11/23/20

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.

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Ap Calculus

11/23/20

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

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Ap Calculus

11/23/20

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

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Ap Calculus

11/22/20

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

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Ap Calculus

11/22/20

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

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Ap Calculus

11/21/20

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?

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How can I solve this?

I don't understand this...................

please help with math

please help!!!! f is given by f(x)=1/7x7+1/2x6-x5-15/4x4+4/3x3+6x2. What is true?

What do I do when a number has two variables

f is given by f(x)=1/7x7+1/2x6-x5-15/4x4+4/3x3+6x2. What is true?

Which of the following statements is true

Lt f be the functin given by f(x)=2x^3. If the values in the table are used to estimate f'(0.5), what is the difference between the estimation and the actual value of f'(0.5)?

The derivative of the function f is given by f'(x) = -3x + 4 for all x, and f(-1) = 6. Which of the following is an equation of the line tangent to the graph of f at x=-1

What is the largest area rectangle that can be inscribed within the region enclosed by the curve 𝑦=24−2𝑥^2 and the x-axis?

If e2y-e(y^2-y)=x4-x,2 then the value of dy/dx at the point (1,0) is

Finding Relative Max

Find (f^-1)'(0)

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(3) = 4 and f'(3) = 5. If g(x) = x2f(x), what is the value of g'(3)?

Derivative Rules

indefinite integral

indefinite integrals

Volumes: Cylindrical Shells

Volume: Cylindrical Shells

Volumes: Cross-Sectionals

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) = 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)?

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

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