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...
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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...
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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
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...
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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...
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Calculus help please
Find the domain for the differential equation dy/dx = 3y/x with the initial condition y(1)=1
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
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,...
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Power Series (Not a test question)
By using the power series for , find the power series for .
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...
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