1,053 Answered Questions for the topic AP Calculus

Ap Calculus

1d

The second derivative of the function f is given by f''(x)=x(x-a)(x-b)^2. The graph of f'' is shown above. For what values of x does the graph of f have a point of inflection?how do I upload the... more
Ap Calculus Math Calculus Physics

7d

#### Help needed with math question

1.Given s = t4 − 4t3 − 20t2 + 15t, where t ≥ 0, at what time is the acceleration 0?2.Given: A particle moves according to a law of motion s = f(t), t ≥ 0, where t is measured in seconds and s in... more
Ap Calculus Math Calculus

8d

#### Solve the following integral problem and show steps:

Solve and show clear steps:∫ (e(2t+4)^2 * (t+2)) dt
Ap Calculus

09/24/21

#### Find the limit with work so i could understand

lim_x->4(x^(2)-6x+8))x2-x-12 = Limx->2 x3 + 8x+2 = Lim x-> 33x2 -8x-3 x- 3 =
Ap Calculus Calculus Limits Derivative

09/20/21

#### Trigonometric Derivative as a Difference Quotient

I understand that the 2x might be treated as h. However, I don't know how to deal with cotangent.Limit (as h -> 0) of [8 * cot3(2x + pi/3) - 8 * cot3(pi/3)]/h
Ap Calculus Calculus Limits Derivative

09/20/21

#### Trigonometric Derivative as a Difference Quotient

I understand that the 2x might be treated as h. However, I don't know how to deal with cotangent.Limit (as h -> 0) of [8 * cot3(2x + pi/3) - 8 * cot3(pi/3)]/h
Ap Calculus Calculus Derivative

09/20/21

#### Calculus Problem Question, Elastic band

An elastic band is hung on a hook and a mass is hung on the lower end of the band. When the mass is pulled downward and then released, it vibrates vertically.The equation of motion is s(t) =... more
Ap Calculus

05/24/21

#### AP Calculus AB MCQ

A particle moves along the x-axis so that at any time t ≥ 0, its velocity is given by v(t) = cos(2 - t^2). The position of the particle is 3 at time t = 0. What is the position of the particle when... more

#### For the function shown below, find each of the following limits. (If an answer does not exist, enter DNE.)

f(x) = 7x, x ≤ 0 x2 + 9, x > 0'(a) lim f(x) = _____ x→0−(b) lim f(x) = _____ x→0+(c) lim f(x) = _____ x→0
Ap Calculus Math Calculus Mathematics

05/20/21

#### Help with Calculus!

A car travels along a straight road for 30 seconds starting at time t = 0. Its acceleration in ft/sec2 is given by the linear graph below for the time interval [0, 30]. At t = 0, the velocity of... more
Ap Calculus

05/20/21

#### A cannon fires a cannonball (from ground level) with an inital velocity of 300 feet per sec with an angle of inclination of 50°.

A cannon fires a cannonball (from ground level) with an inital velocity of 300 feet per sec with an angle of inclination of 50°.1. Find the parametric equations that describe the position of the... more
Ap Calculus

05/19/21

#### the quesiton from ap calculus

Suppose the integral from 2 to 8 of g of x, dx equals 13 , and the integral from 6 to 8 of g of x, dx equals negative 3 , find the value of 2 plus the integral from 2 to 6 of g of x, dx
Ap Calculus Calculus

05/16/21

#### Find the slope of the line tangent to the curve at each point on the curve where x=6

Curve equation 2x^2+3y^2−4xy=36.
Ap Calculus

05/13/21

#### Given the logistic equation dy/dt=2y(1-y/5)

a.) Determine the general solution of this equation.b.) FInd the particular solution satisfying y(0)=3c.) Evaluate lim y as t->infinity and explain its meaning.
Ap Calculus

05/13/21

#### Calculus AP AB question: given the function f'(x)=-x(x-4)^3(x-2)(x+1) what conclusion can be drawn directly from the sign chart of the given function about the graph of f when x=2?

Calculus AP AB question: given the function f'(x)=-x(x-4)^3(x-2)(x+1) what conclusion can be drawn directly from the sign chart of the given function about the graph of f when x=2?
Ap Calculus

05/11/21

#### Price Inflation in the United States is typically about 3% per year. Assuming an annual inflation rate of 3%, do the following:

a.) Create a model that gives the future price of a candy bar that costs $0.75 today. b.) Determine when the price of the candy bar is expected to reach$1.50.c.) When the price reaches \$1.50, at... more
Ap Calculus

05/11/21

#### Let f(x) = 1/√(4-x^2). a.) Determine ∫f(x)dx. b.) What is the area of the region bounded by f, the x-axis, the y-axis, and the line x=1.

Let f(x) = 1/√(4-x^2). a.) Determine ∫f(x)dx. b.) What is the area of the region bounded by f, the x-axis, the y-axis, and the line x=1. c.) Determine the value of a that makes the following... more
Ap Calculus

05/11/21

#### Evaluate the integral ∫(x/√(5-4x2-x4))dx

Evaluate the integral ∫(x/√(5-4x2-x4))dx. Please show all steps.
Ap Calculus

05/11/21

#### Evaluate the integral ∫-4/3(-2√2)/3 (3/x√(9x2-4))dx

Evaluate the integral ∫-4/3(-2√2)/3 (3/x√(9x2-4))dx. Please show all steps.
Ap Calculus

05/11/21

#### Find the derivative of h(x)=6arcsec (x/3).

Find the derivative of h(x)=6arcsec (x/3). Please show all steps.
Ap Calculus

05/11/21

#### Showing ALL work, solve the equation arccos(1/2x-3)=1 for x.

Showing ALL work, solve the equation arccos(1/2x-3)=1 for x.
Ap Calculus

05/11/21

#### Find the derivative of g(x)=x2log3√(x-1).

Find the derivative of g(x)=x2log3√(x-1). Please show all steps.
Ap Calculus

05/11/21

#### Solve the equation log3√(2x-1)=1.3 accurate to three decimal places.

Solve the equation log3√(2x-1)=1.3 accurate to three decimal places. Please show all steps.
Ap Calculus

05/10/21

#### evaluate the definite intergral ∫0^1/2(8e2x)/(2e2x-1)dx

evaluate the definite intergral 01/2(8e2x)/(2e2x-1)dx
Ap Calculus

05/10/21

#### find the equation of the tangent line to the graph of y=2xe^-x+e^2x at (0,1)

find the equation of the tangent line to the graph of y=2xe-x+e2x at (0,1)

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