Simplify the expression. Assume that all variables represent nonnegative numbers.
+ 7
+ 5
A. 12
B. 76
C. 76
D. 12
Answer: C
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Find the derivative of the function by first expanding or simplifying the expression. f(x) = (4x - 4)(3x3 - x2 + 1)
A. f'(x) = 12x3 + 16x2 - 48x + 4 B. f'(x) = 48x3 - 16x2 + 48x + 4 C. f'(x) = 36x3 + 48x2 - 16x + 4 D. f'(x) = 48x3 - 48x2 + 8x + 4
Find an equation for the line that passes through the given point and satisfies the given conditions.P = (-6, -7); parallel to v = -3i + 6j
A. -3x + 6y = -24
B. -3x + 6y = 45
C. y + 7 = 
(x + 3)
D. 6x + 3y = -57
Solve the problem.A faucet is used to add water to a large bottle that already contained some water. After it has been filling for 5 seconds, the gauge on the bottle indicates that it contains 25 ounces of water. After it has been filling for 12 seconds, the gauge indicates the bottle contains 53 ounces of water. Find and interpret the average rate of change in the volume of water per second.
A. 4 ounces per second; the average rate of change in the volume of water is 4 ounces per second.
B. 41 ounces per second; the average rate of change in the volume of water is 41 ounces per second.
C. 5 ounces per second; the average rate of change in the volume of water is 5 ounces per second.
D. 
ounce per second; the average rate of change in the volume of water is 
ounce per second.
Simplify the expression. Assume that all variables are positive.(x6y9)1/3
A. x18y27 B. x3y2 C. x2y3 D. 3x6y9