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A) Evaluate the surface integral \iint_{S}x^2ydS Where Sir(u, v) = 5cosui + 5sinuj + uk , VI VI ,0\leq v\leq 1

B) Find the equation of the plane tangent to the surface r(u, v) = ui + 3vj + u’uk at the point (2,9,12) on the surface. Express the plane in standard form (ax+by+cz=d)

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Answer #1

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rrunla <scose s sinu K Muxron -s since s cosa 0 as casa & ts since ? 5 Ifratrey SS 125 cas²u, since soudu x 9 as a al2 cos 62rruola < 2,9,127 So , Quatia f target plane 4(yoq) + 3(2-12 -30(2-2) 368 +4y -32 72

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