Solve the problem.A stone is thrown into a pond. A circular ripple is spreading over the pond in such a way that the radius is increasing at the rate of 2.3 feet per second. Find a function, r(t), for the radius in terms of t. Find a function, A(r), for the area of the ripple in terms of r. 
A. (A ? r)(t) = 5.29?t2
B. (A ? r)(t) = 4.6?t2
C. (A ? r)(t) = 2.3?t2
D. (A ? r)(t) = 5.29?2t
Answer: A
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Use integration by parts to establish a reduction formula for the integral.
A. = xn ex -
B. = xn ex - n
C. = xn ex + n
D. = xn ex - n
Solve.The side of a square equals the length of a rectangle. The width of the rectangle is 4 meters longer than its length. The sum of the areas of the square and the rectangle is 48 square centimeters. Find the side of the square.
A. 2 cm B. 16 cm C. 6 cm D. 4 cm
Find n for the given value of an in the arithmetic sequence.an = 236?; 1?, 6?, 11?, . . .
A. n = 50 B. n = 46 C. n = 47 D. n = 48
Solve the problem.Find the area of the large rectangle below in two ways. First, find the sum of the areas of the four smaller rectangles. Second, express the area of the large rectangle as the product of its length and width.
A. area = x2 + 3x - 2 = (x + 2)(x - 1) B. area = x2 + 4x - 3 = (x + 3)(x - 1) C. area = x2 + 4x + 3 = (x + 3)(x + 1) D. area = x2 + 3x + 2 = (x + 2)(x + 1)