Using the derivative of f(x) given below, determine the intervals on which f(x) is increasing or decreasing.f'(x) = (3 - x)(7 - x)
A. Decreasing on (-?, 3); increasing on (7, ?)
B. Decreasing on (-?, 3) ? (7, ?); increasing on (3, 7)
C. Decreasing on (-?, -3) ? (-7, ?); increasing on (-3, -7)
D. Decreasing on (3, 7); increasing on (-?, 3) ? (7, ?)
Answer: D
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A. Maximum: 4 at 
minimum: -4 at 
B. Maximum: 4 at 
minimum: -4 at 
C. Maximum: 18 at 
minimum: -18 at 
D. Maximum: 18 at 
minimum: -18 at 
Triangle ABC is a right triangle with sides of lengths a, b, and c and a right angle at C. Find the indicated trigonometric function value of A. Rationalize denominators containing radicals.a = 9, b = 7; find sin A.
A. 
B. 
C. 
D. 
Find the interval of convergence of the power series. (Be sure to include a check for convergence at the endpoints of the interval.)
?
?
A. 
B. 
C. 
D. 
E. 
Find the zeros of the function.f(x) = x2 + 6x - 27
A. -9, 3 B. 9, 3 C. 9, -3 D. -9, 1