Use the map G(u, v): = a = 5, b = 10, c = 3. b a y=cx u uv v+1' v+1 f (x + y) (x + y) dx dy = to compute (x + y) dx dy, where D is the shaded region in the figure. Assume y=x -X (Use decimal notation. Give your answer to three decimal places.)

Q: + V(x² + 1)² ) dæ /1-x² 17

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A: While rotating the triangle around x=0 it becomes a cone

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A: first we find limits of integration, than

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A: Given linear transformation is S:ℝ2→ℝ2 defined as Sx, y=-x, y where x, y∈ℝ. We have to identify the…

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Q: Find the distance between the skew lines with parametric equations x = 3 + t, y = 1 + 6t, z = 2t,…

A: I am attaching image so that you understand each and every step.

Q: x.y = Find the dot product of X 0 []. 0 3 [] -2 -3 and y=-2

A: The given vectors, and .The aim is to find the dot product .

Q: y2 f(x, y)dx dy Let f(x, y) = e-x2-y² and

A: answer is in next step