Using Green's Theorem, find the outward flux of F across the closed curve C.F = (-8x + 3y)i + (3x - 8y)j; C is the region bounded above by y = -3x2 + 8 and below by  in the first quadrant

A. 80
B. - 30
C. - 
D. 112


Answer: C

Mathematics

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Plot the parametric surface over the indicated domain.r(u, v) = u2sin vi + ucos vj + 4uk; 0 ? u ? 2?, 0 ? v ? 2?

A.

B.

C.

D.

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Solve the proportion. Write the solution as a simplified proper fraction or mixed number when applicable. =  

A. 3
B.
C.
D. 8

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Solve the equation. Round to the nearest tenth, if necessary.If an object is projected upward with an initial velocity of 64 feet per second from a height of 192 feet, then its height t seconds after it is projected is defined by the expression h(t) = -16t2 + 64t + 192. How long after it is projected will it hit the ground?

A. 2 second(s) B. 8 second(s) C. 6 second(s) D. 7 second(s)

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Solve the linear equation.-12 - 3r + 8 = 9r + 2 - 6r

A. 1 B. 0 C. -1 D. -2

Mathematics