Evaluate using integration by parts.
Mathematics
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Using Green's Theorem, compute the counterclockwise circulation of F around the closed curve C.F = sin 5yi + cos 9xj; C is the rectangle with vertices at (0, 0), 
, 
, and 
A. - 
?
B. 
?
C. 0
D. - 
?
Mathematics
Use the information given about the angle ?, 0 ? ? ? 2?, to find the exact value of the indicated trigonometric function.tan ? = 2, cos ? < 0Find cos 
.
A. -
B. 
C. - 
D. 
Mathematics
Find the function value, provided it exists.g(y) = 
; find g(8)
A. 
B. - 
C. 
D. - 
Mathematics
Express the statement as an equation involving the indicated variables.The area A of a rectangle is the product of its length l and its width w.
A. A = 
B. A = 2(l + w)
C. A = l + w
D. A = lw
Mathematics