Evaluate ſ √x² + y²dxdy over the triangle with corners (0,0), (4,4), and (4,0) using x = u, y = uv.

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A: Sol:- a) u=(3,4), v=(5,-12); <u,v> = x1y1 +x2y2 i.e a)  u=(3,4,0), v=(5,-12,0); <u,v> =…

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A: Sol:- Consider the function between (0,1) ∫011+x+x2+x3dxApply the Sum Rule:…

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Q: A function is approximated by a cubic spline defined by: {"="64" (4 + 6(x-1) + 4(x-1)² An…

A: Sol:- Consider the function in the range of (0,1) ∫011+x+x2+x3dxApply the Sum Rule:…

Q: e) Un n²-3n+ 1 2n²+1

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Q: Part 3 of 6 Note that N dS = VG(x, y, z) dA, and recall that VG(x, y, z) = (curl F). NdS = (2yi + (y…

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Q: [A] 3 2 1 |01 - 2 3 4

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Q: Problem 1. : Determine a formula of the form [ f(x) dx = w₁ f(0) + W2 f(1) + w3 f" (0) + wa f"(1)…

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Q: Which of the following statements about a polynomial function is false? A polynomial function of…

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