Use Green's Theorem to evaluate the line integral. y2 dx + xy dy C: boundary of the region lying between the graphs of y = 0, y = Vx, and x = 9

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A: Solution: y = -x2 +2x +1 y =-x+1

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Q: mal places as needed.)

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Q: Find the area of the region bounded by the graphs of f(r) =-r² + 2x+5 and g(z) = 121|- %3D

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Q: Evaluate (2x – y) dx + (x + 3y) dy. C: arc on y = x/2 from (0, 0) to (4, 32)

A: This is a problem related to vector calculus. Based on green's theorem we will solve the integral.

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Q: Find V· (F x G), if F(x, y, z) = 10xi +j+7yk and G(x, y, z) = xi+ yj – zk. V · (F × G) =

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Q: /hat is the area of the region bounded by the graphs of æ = y³ – 2y and DA = (3x – x² )dx DA = (? –…

A: Topic:- application of integration