Using Green's Theorem, compute the counterclockwise circulation of F around the closed curve C.F = (x2 + y2)i + (x - y)j; C is the rectangle with vertices at (0, 0), (3, 0), (3, 7), and (0, 7)

A. 168
B. -126
C. 126
D. 0


Answer: B

Mathematics

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Find the surface area of the surface S.S is the portion of the paraboloid z = 81 - x2 - y2 that lies above the ring 1 ? x2 + y2 ? 25 in the 

A. [101 - 5]
B. [101 - 5]
C. [101 - 5]
D. [101 - 5]

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These triangles are similar. Find the missing length.

A. 3 B. 6 C. 4 D. 5

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The function f is one-to-one. Find its inverse.f(x) = 

A. f-1(x) = 
B. f-1(x) = 
C. f-1(x) = 
D. f-1(x) = 

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Identify the graph of the equation over the given interval. ? 

A. ?


B. ?


C. ?


D. ?


E. ?


Mathematics