Calculus BC Review

Question 1

Use the following table to solve this problem. If g(x) = x2F(3x), then g'(-1) is

Accepted Answer

25

Question 2

What is the radius of convergence for the following?

Accepted Answer

-1<=x<1

Question 3

The area enclosed by the polar curve r = sec(theta/2) on the interval 0<=theta<=pi/2 is

Accepted Answer

1

Question 4

Calculator: A particle moves by x=tan(t) and y=et/2. Find the length of its path on 0<=t<=1.

Accepted Answer

1.38768

Question 5

If f(x) = 2xcos(2x), then f'(x)=

Accepted Answer

2cos(2x)-4xsin(x)

Question 6

What is the coefficient for x4 in the Maclaurin approximation for f(x) = ex^2?

Accepted Answer

1/2

Question 7

The position vector for a particle is <10 ln(1+t), 16t1/2>. Find the velocity vector.

Accepted Answer

<10/(1+t), 8t-1/2>

Question 8

If dy/dx = k(y-2), then y =

Accepted Answer

Cekt + 2

Question 9

Does the following converge conditionally, converge absolutely, or diverge?

Accepted Answer

Diverge

Question 10

What is the slope of the curve 2xy2 = 3x2 - y3 at the point (1,1)?

Accepted Answer

4/7

Question 11

Your AP Score (according to the 2015 curve):

Accepted Answer

3: Kahoot Score > 3795, 4: Kahoot Score > 4815, 2: Kahoot Score > 3240, 5: Kahoot Score > 5740

Questions 11