Please help! Do both problems thank you! SlF. ds for the given vector field F and the oriented surface S. In other words, find the flux of F across S. For closed surfaces, use the positive (outward) orientation.F(x, y, z) = xyi + 8x²j + yzk, S is the surface z = xey, 0 ≤ x ≤ 1,0 ≤ y ≤ 4, with upward orientationEvaluate the surface integralX '//'F. ds for the given vector field F and the oriented surface S. In other words, find the flux of F across S. For closed surfaces, use the positive (outward) orientation.F(x, y, z) = yi + xj + z²k, S is the helicoid (with upward orientation) with vector equation r(u, v) = u cos(v)i + u sin(v)j + vk, 0 ≤ u ≤ 4,0 ≤ v ≤ 5πEvaluate the surface integral

Answered: Image /qna-images/answer/4fa84904-14b4-4ea5-8cb3-7b62f9e5aa1e.jpg

Answered: 'I' F. ds for the given vector field F…

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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