Using Green's Theorem, compute the counterclockwise circulation of F around the closed curve C.F = sin 3yi + cos 8xj; C is the rectangle with vertices at (0, 0), , and 

A. 0
B. ?
C. - ?
D. - ?


Answer: C

Mathematics

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Find the volume of the solid generated by revolving the region bounded by the given lines and curves about the . y = , y = 0, x = 0, x = 9

A. 486? B. 324? C. 972? D. 18?

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First, rewrite each equation in exponential form. Then, use a table of coordinates and the exponential form to graph the logarithmic function. Begin by selecting -2, -1, 0, 1 and 2 for y. y = log4 x

A.

B.

C.

D.

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Solve.The sum of the ages of Art, Ben, and Cal is 59. Art is 1 year older than Cal, and Cal is 1 year younger than Ben. Which of these people were teenagers 7 years ago?

A. Art B. Art, Ben, and Cal C. Art and Ben D. Ben

Mathematics

Rewrite the expression as the sum and/or difference of logarithms, without using exponents. Simplify if possible.log2

A. 8 log2x + 7 log2y + log25 B. (8 log2x)(7 log2y) - log25 C. 8 log2x - 7 log2y - log25 D. 8 log2x + 7 log2y - log25

Mathematics