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Evaluate the following surface integrals [[ S F.dS. 1. F(x, y, z) = (x, y, z) and S is the part of the surface z = 9-x² - y² with z≥ 0 oriented so that n(0, 0, 9) = (0, 0, 1). 2. F(x, y, z) = (x, y, z) and S is the part of ellipse+ y² +2²=1 with x, y, z ≥ 0 oriented so that n(0, 0, 1) = (0, 0, 1).

Evaluate the following surface integrals [[ S F.dS. 1. F(x, y, z) = (x, y, z) and S is the part of the surface z = 9-x² - y² with z≥ 0 oriented so that n(0, 0, 9) = (0, 0, 1). 2. F(x, y, z) = (x, y, z) and S is the part of ellipse+ y² +2²=1 with x, y, z ≥ 0 oriented so that n(0, 0, 1) = (0, 0, 1).

Advanced Engineering Mathematics
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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Evaluate the following surface integrals [fr FdS. 1. F(x, y, z) = (x, y, z) and S is the part of the surface z = 9-x² - y² with z>0 oriented so that n(0, 0, 9) = (0, 0, 1). 2. F(x, y, z) = (x, y, z) and S is the part of ellipse+ y² +2²=1 with x, y, z>0 oriented so that n(0, 0, 1) = (0, 0, 1).
Transcribed Image Text:Evaluate the following surface integrals [fr FdS. 1. F(x, y, z) = (x, y, z) and S is the part of the surface z = 9-x² - y² with z>0 oriented so that n(0, 0, 9) = (0, 0, 1). 2. F(x, y, z) = (x, y, z) and S is the part of ellipse+ y² +2²=1 with x, y, z>0 oriented so that n(0, 0, 1) = (0, 0, 1).
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