Let F(x, y) =< y^2cos x, 2y sin x >. A) Is F(x, y) conservative? If so, find the potential function f. B) Evaluate the integral ZCF · dr where C is the circle centered at (0, 0) with radius 5. C) )Evaluate the integral ZCF·dr where C is the triangle with vertices (0, 0), (2, 0), and (2, 6) oriented clockwise

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Q: Find the moment of inertia of the solid formed by revolving about oy the area bounded by * y2 = 2x…

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Q: Calculate line integral F-dr where F(x, y) = (7x + y, 5x + 2y) and C is a rectangle with vertices…

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Q: Find the moment of inertia of the solid formed by revolving about oy the area bounded by y2 : = 2x…

A: The solution are next step

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A: Given Line Integral is ∮x4dx+xydy , where C is a triangle with vertices at (0,0), (0,6) and (6,0)…

Q: . Find the centroid of the solid generated by the area bounded by y = sin x and the lines x = 0; x =…

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Q: 7. Find the flux of F(x, y, z) = x î+ y ĵ+ z² k across the sphere of radius 1 centered at the origin…

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Q: t) The volume of the solid obtained by rotating the region bounded by y=x2,  y=3x about the line…

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A: By divergence theorem

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A: Explanation of the answer is as follows

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Q: Calculate line integral F-dr where F(x, y) = (7x + y, 5x + 2y) and C is a rectangle with vertices 0,…

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A: Calculate moment of inertia about y-axis:

Q: Consider a thin plate of constant density d lying in the regionbounded by the graphs of y = √x and x…

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Q: Find the flux of F = 5zi+ 3y²j+ 2xk through of the total surface of the closed cone y = Vx² + z²,…

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