Find a parametric representation for the surface. The part of the plane z = x + 2 that lies inside the cylinder x² + y2 = 1. (Enter your answer as a comma-separated list of equations. Let x, y, and z be in terms of s and/or 8.) Submit Answer X

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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8d
Find a parametric representation for the surface.
The part of the plane z = x + 2 that lies inside the cylinder x2 + y2 = 1. (Enter your answer as a comma-separated list of equations. Let x, y, and z be in terms of s and/or 8.)
Submit Answer
X
Transcribed Image Text:Find a parametric representation for the surface. The part of the plane z = x + 2 that lies inside the cylinder x2 + y2 = 1. (Enter your answer as a comma-separated list of equations. Let x, y, and z be in terms of s and/or 8.) Submit Answer X
Evaluate the surface Integral
11.³
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) = xy 1 + 16x²j+yz k
S is the surface z = xe, 0 ≤ x ≤ 1,0 ≤ y ≤ 2, with upward orientation
X
Transcribed Image Text:Evaluate the surface Integral 11.³ 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) = xy 1 + 16x²j+yz k S is the surface z = xe, 0 ≤ x ≤ 1,0 ≤ y ≤ 2, with upward orientation X
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