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81 Answered Questions for the topic AP Calc

08/18/15

Equation to find the amount left after t years

Suppose that a sample initially contains N0 grams of a radioactive substance. If this substance has a half-life of 32 years, then which of the following equations can be used to find the amount... more

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Ap Calc Math Calculus Ap Calculus

08/18/15

Which of these differential equations is NOT seperable?

dy/dy=x+y dy/dy=xy dy/dy=x/y dy/dy=2xy

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Ap Calc Math Calculus Graph

08/18/15

A tank is formed by revolving the graph of y=x^4 around the y-axis. The tank has a height of 16.

Find the value of m such that the line y = m represents the height at which the tank is half full.

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Ap Calc Math Calculus Volume

08/18/15

A solid has a flat base, which is bounded by the graph of y=x^3 and y=vx in the first quadrant only.fo

Each cross section of the solid perpendicular to the x-axis is the shape of a square. Find the volume of this solid.a. 5/14 b. 25/126 c. 5/12 d. 47/125 Find the value of k on the interval... more

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Ap Calc Math Calculus Graph

08/18/15

Given a solid whose cross-section is defined by A(x), the volume of the solid is given by _____________________.

a) V=∫A'(x)dx b) V=∫A(x)dx c) V=Π∫A(x)dx d)none of these

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Ap Calc Calculus Graph Ap Calculus

08/18/15

Which of the following gives the volume of the solid created by revolving a curve f(x) around the y-axis?

V=2Π∫ xf(x)dx V=Π∫ xf(x)dx V=2Πx2f(x)dx V=Π2∫ xf(x)dx

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Ap Calc Calculus Physics Graph

08/18/15

looking at a velocity time graph

when looking at a velocity vs. time graph, how can one determine the total distance traveled as well as the displacement?

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Ap Calc Math Calculus Physics

08/18/15

net change

the net change in y=f(x), as x changes from a to b is given by___________. ∫abs(F'(x)) dx ∫F'(x) dx ∫ abs(F(x)) dx ∫F(x) dx none of these

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Ap Calc Math Calculus Ap Calculus

08/16/15

TRUE OR FALSE?

if f(x) is an even function,(above integral sign: 0 below integral sign: -a) ∫f(x)dx= (above integral sign: a below integral sign: 0) -∫f(x)dx true or false?

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Ap Calc Math Calculus Integrals

08/16/15

is this expression correct?

∫ecosxdx=e-sinx+C

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Ap Calc Math Calculus Integrals

08/16/15

which of the following integrals is INCORRECT?...

A) ∫tanxdx=sec2x+C B) ∫cscxdx=ln[cscx-cotx]+C C) ∫cotxdx=ln[sinx]+C

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Ap Calc Math Calculus Ap Calculus

08/16/15

true or false?

∫xcosxdx= ( (x2)/2 )sinx+C true or false

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Ap Calc Math Calculus Integrals

08/16/15

true or false?

if f(x) is an even function, (above integral sign: 0 below integral sign: -a) ∫f(x)dx= (above integral sign: a below integral sign: 0) -∫f(x)dx true or false?

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Ap Calc Math Calculus Calc

08/15/15

u-substitution

When integrating ∫esinxcosdx, a good choice to use for your u-substitution would be which of the following: a) u=cosxb) u=sinx c) u=esinx

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Ap Calc Math Calculus Ap Calculus

08/15/15

find the general antiderivative of f(X)= 5/2x

a.) 5/2x2-C b.) 5ln[2x]-C c.) none of these %MCEPASTEBIN%

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Ap Calc Calculus Ap Calculus Calc

08/14/15

solving integral

∫ ( t/(√(2t2-1) )dt=________ A) (-1/2)(√(2t2-1))+C B) 4(√(2t2-1))+C C) 8(√(2t2-1)+C D) -( (1)/(4(2t2-1)) )+C E) (1/2)(√(2t2-1))+C

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Ap Calc Math Calculus Ap Calculus

08/13/15

substituting in an integral

If the substitution √(X)=sin y is made in the integrand of: (top of the integral sign is (1/2), bottom of the sign is 0) ∫ ( √(X) )/( √(1-X) )dx, the resulting integral is_____________. A.)... more

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Ap Calc Calculus Integrals Ap Calculus

08/12/15

solving integrals

∫( (du)/(u(u2-1)1/2) ) = __________________

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Ap Calc Calculus Derivative Ap Calculus

08/12/15

chain rule is also know as

The Chain Rule for antiderivatives is also known as the ___________________ rule. -derivative -substitution -product -integral

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Ap Calc Calculus Interval Ap Calculus

08/12/15

find area under curve

Using the left-had approximation method with 5 equal subintervals, find the area under the curve f(x)=√(1+x3) on the interval [0,1]. a.) 1.074 b.) 1.156 c.) 2.356 d.) 1.110

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Ap Calc Calculus Integrals Ap Calculus

08/12/15

solving using integrals

if I have a graph of f(x) and I want to find (on the top of the integral sign is 5, and on the bottom is -2) ∫f(x)dx what would ∫f(x)dx equal?... (if the graph has points at (-5,2) (-2,0)... more

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Ap Calc Calculus Ap Calculus Integral

08/12/15