Please show work, thank you! For the cylinder with equation x2 + y2 = 25 in 3-sp

Question

Please show work, thank you!

For the cylinder with equation x2 + y2 = 25 in 3-space, based on a parametrization of your choosing, find d sigma (the differential of surface area) expressed in terms of the 2 coordinates that you use in your parametrization. For reference: The formula for the cross product of two vectors in 3-space is a1, a2, a3 Times b1, b2, b3 = a2b3 - a3b2, - (a1b3 - a3b1), a1b2 - a2b1 . Evaluate the surface integral s x d sigma, where S is the portion of the plane x + y + z = 1 with x ge 0, y ge 0, z ge 0.

Explanation / Answer

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