Differentiate.f(x) = (2x2 - 3)5 - (1 + 4x3)5
A. f'(x) = 5(2x2 - 3)4 - 5(1 + 4x3)4
B. f'(x) = 20x(2x2 - 3)4 - 12x2(1 + 4x3)4
C. f'(x) = (20x - 3)(2x2 - 3)4 - (1 + 60x2)(1 + 4x3)4
D. f'(x) = 20x(2x2 - 3)4 - 60x2(1 + 4x3)4
Answer: D
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Express the given function as a composite of functions f and g such that y = f(g(x)).y = 
A. f(x) = 10, g(x) = 
B. f(x) = 
, g(x) = 10
C. f(x) = 
, g(x) = 6x + 7
D. f(x) = 
, g(x) = 6x + 7
Solve the problem.Find the length of the unknown side of the right triangle, where a and b are the legs and c is the hypotenuse. a = 6, b = 8, c = ?
A. c = 10 B. c = 7 C. c = 9 D. c = 5
Multiply the expression geometrically and symbolically.x(x + 9)
What will be an ideal response?
Solve the problem.Suppose that a continuous random variable has a joint probability density function given byf(x, y) = y2 - 2y + 
xy - 
x + 
, 1 ? x ? 5, 0 ? y ? 1 Find the probability that a point is in the region bounded by 3 ? x ? 5 and 0 ? y ? 1.
A. 
B. 
C. 
D. 