Using Green's Theorem, compute the counterclockwise circulation of F around the closed curve C.F = (x - y)i + (x + y)j; C is the triangle with vertices at (0, 0), (7, 0), and (0, 6)

A. 42
B. 84
C. 0
D. 252


Answer: A

Mathematics

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Find the value.If F(x, y) = ex sinh y, find Fx(-2, 0) and Fy(-2, 0).

A. Fx(-2, 0) = e-2, Fy(-2, 0) = 0 B. Fx(-2, 0) = e-2, Fy(-2, 0) = e-2 C. Fx(-2, 0) = 0, Fy(-2, 0) = 0 D. Fx(-2, 0) = 0, Fy(-2, 0) = e-2

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Simplify the expression. ? ?

A.
B.
C.
D.
E.
F.

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Write an equation in slope-intercept form for the line shown.

A. y = 6x
B. y = -6x
C. y = - x
D. y = x

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Solve the problem.A box has a base whose length is twice its width. The volume of the box is 7000 cubic inches.a) Find a function for the surface area of the box.b) What are the dimensions of the box that minimizes surface area?

What will be an ideal response?

Mathematics