BC Various topics Calculus

Question 1

What is the shape of the following figure?

Accepted Answer

shell

Question 2

What is the volume generated by rotating the shaded about the line y = 4

Accepted Answer

153∏/5, 96.1327

Question 3

Determine the critical points of f(x) = x3 - 12x - 5

Accepted Answer

2, -2

Question 4

Find the derivative of log3(x8+1)

Accepted Answer

8x7/(ln 3)(x8+1)

Question 5

Find the derivative of y=2ln (3x2-1)

Accepted Answer

(12x)/(3x2- 1)

Question 6

What is the indefinite integral of the following expression: (4e2x - 5e-x) dx

Accepted Answer

2e2x+5e-x+C

Question 7

What is the derivative of 6x2+ 13?

Accepted Answer

12x

Question 8

Find the largest open interval where the function y = (1/x2)+7

Accepted Answer

(0,∞)

Question 9

This expression, (1/(1+u2)) • u' is the derivative of which of the following:

Accepted Answer

sin-1 (u), arcsin(u)

Question 10

Where is the function concave up and concave down? f(x)=10x/x2+16

Accepted Answer

Concave down (-∞, √48) &(0,√48)concave up (√48,0) &(√48,∞)

Questions 10