1,125 Answered Questions for the topic AP Calculus

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)
Ap Calculus

05/10/21

if f(x)=√(x-1) has an inverse function, use the inverse to find (f6-1)'(2).

if f(x)=√(x-1) has an inverse function, use the inverse to find (f6-1)'(2).
Ap Calculus

05/10/21

solve the differential equation ds/d(theta) = (2csc^2 theta)/ (cot theta). Then find the particular solution at (pi/4, 4).

solve the differential equation ds/d(theta) = (2csc^2 theta)/ (cot theta). Then find the particular solution at (pi/4, 4).
Ap Calculus

05/10/21

Find the equation of the tangent line to the graph of f(x)=cos(3x)ln(x^4) at (1,0)

Find the equation of the tangent line to the graph of f(x)=cos(3x)ln(x^4) at (1,0)
Ap Calculus

05/10/21

use logarithmic differentiation to find the derivative of y=(2x-1)/(3x-2), x>1

use logarithmic differentiation to find the derivative of y=(2x-1)/(3x-2), x>1
Ap Calculus Math Calculus

05/06/21

calculus help would be greatly appreciated

If the graph of f " (x) is continuous and has a relative maximum at x = c, which of the following must be true?The graph of f has an x-intercept at x = c.The graph of f has an inflection point at x... more
Ap Calculus Math Calculus

05/06/21

urgent calculus help please

If the graph of f " (x) is continuous and has a relative maximum at x = c, which of the following must be true?The graph of f has an x-intercept at x = c.The graph of f has an inflection point at x... more
Ap Calculus Math Calculus

05/06/21

Calculus help please

Find the domain for the differential equation dy/dx = 3y/x with the initial condition y(1)=1
Ap Calculus Math Calculus

05/06/21

Power Series (Not a test question)

What are all the values of x for which the series  converges? (4 points) −1 ≤ x ≤ 1 I chose this -1 < x ≤ 1 -1 ≤ x < 1 All reals
Ap Calculus Math Calculus

05/06/21

Power Series (Not a test question)

Which of the following intervals is impossible for the convergence of the power series  ? 0 < x < 6 1 ≤ x ≤ 9 2 ≤ x ≤ 8 3 ≤ x ≤ 7 I got the interval of convergence is 4<x<6,... more
Ap Calculus Math Calculus

05/06/21

Power Series (Not a test question)

By using the power series for  , find the power series for  .
Ap Calculus Math Calculus

05/06/21

Geometric Series (Not a test question)

Which of the following power series is a geometric series? I chose this because it has a common ratio of 3x 1 + 3x + 9x2 + 27x3 + 81x4 + … 1 + x + 2x2 + 3x3 + 4x4 + … 1... more

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