•[.F. Use Green's Theorem to evaluate te F.nds, where F =(√x + 5y, 2x + 5y) C is the boundary of the region enclosed by y = 4x - x² and the x-axis (oriented positively).

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Q: Consider the following R2→ R function: d) Find and graph the interior, the boundary and the closure…

A: Given function f:ℝ2→ℝ is defined by  fx,y=9-x2-y2 The function is defined for all x,y∈ℝ2 such that…

Q: -2y 2x (x²+y²) ²³ (x²+y²)² Compute fF.dr, where F(x, y) = oriented counterclockwise. (Use symbolic…

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Q: Let S = Þ (D), where D = {(u, v) : u² + v² ≤ 1, u ≥ 0, v ≥ 0} and Þ (u, v) = (2u+1, uv, 3u + v). (a)…

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Q: A region R consists of a square bounded by the lines x = -5, x = 5, y = 0, and y = -10 and a half…

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Q: Evaluate the circulation of G = ayi+zj+ 7yk around a square of side 9, centered at the origin, lying…

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Q: Use Green's Theorem to evaluate Jo F = (√x + 5y, 4x + 5y) and C is the boundary of the region…

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Q: Find the area between the curve of y ਆਗੂਆਂ 2 4 = zæ + 2 and the x-axis on the interval [-2, 1].

A: Given that , Now we want to find the area between the curve and the axis  on the interval .

Q: A contour map is shown for a function f on the square R = [0, 4] × [0, 4]. Use midpoints with 4…

A: Mid point formula for contour map is  Where is mid point of each rectangle and is area of each…