Evaluate ea²zds, where S is the part of the plane z = 1+ 3x + 4y above the rectangle S [0, 5] x [0, 4]

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A: According to guidelines i solve first question only. So kindly request you to repost the remaining…

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A: We can compute the determinant.

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A: As you don't want handwritten answer, I have used LaTeX.

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A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve first three…

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A: Note:  As per your requirement, I answered here only Question (3).     Given, f(x) =…

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A: As per our guideline, we are supposed to solve only first question because they are different.…

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A: Solution:

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A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve first three…

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