7.Let surface S be a part of the surface z = 1+z²+y that lies above the region in the first quadrantbounded by y = 2², y = 0, and z = 1.(a) Express the area of the surface S as an iterated double integral. DO NOT evaluate the integral.(b) Evaluate the surface integral!!/4z - 4y -2 ds.

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Answered: 7. Let surface S be a part of the…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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7. Let surface S be a part of the surface z = 1+z²+y that lies above the region in the first quadrant bounded by y= 22, y = 0, and z = 1. (a) Express the area of the surface S as an iterated double integral. DO NOT evaluate the integral. ¹/₁ (b) Evaluate the surface integral √4z-4y-2 ds.