Multiply.3a2b9(-6a8b8 - 7b5 + 4a)

A. -18a8b8 - 21b5 + 12a
B. -18a10b17 - 7b5 + 4a
C. -18a10b17 - 21a2b14 + 12a3b9
D. -18a10b17 - 21b14 + 4a


Answer: C

Mathematics

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Use reduction formulas to evaluate the integral.

A. sec 3x tan 3x + ln + C
B. sec2 3x tan 3x + ln + C
C. sec 3x tan 3x + ln + C
D. sec 3x tan 3x - ln + C

Mathematics

Evaluate the line integral of f(x,y) along the curve C.f(x, y) = x2 + y2, C: y = -3x + 3, 0 ? x ? 3

A. 12
B. 36
C. 36
D. 216

Mathematics

Find the range of the given function.f(x) = x2 - 14x + 53

A. (-?, 0] B. [7, ?) C. [-7, ?) D. [4, ?)

Mathematics

Solve the problem.Assume that the profit generated by a product is given by  where x is the number of units sold. If the profit keeps changing at a rate of  per month, then how fast are the sales changing when the number of units sold is 1000? (Round your answer to the nearest dollar per month.)

A. $6325/month B. $13/month C. $316,228/month D. $12,649/month

Mathematics