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Let C be the curve consisting of the three edges of the triangle with vertices (0, 0, 0), (1, 0, 0), and (1, 3, 1). Assume C is oriented counterclockwise when viewed from above. Using the Stokes' Theorem turn f(xi + yj + z²k) · dr into a surface integral. Proceed until you get an iterated double integral. Do not evaluate! (Hint: You may use the fact that the equation of the plane containing the given points is y = 3z.) As usual, include all relevant diagrams.

Let C be the curve consisting of the three edges of the triangle with vertices (0, 0, 0), (1, 0, 0), and (1, 3, 1). Assume C is oriented counterclockwise when viewed from above. Using the Stokes' Theorem turn f(xi + yj + z²k) · dr into a surface integral. Proceed until you get an iterated double integral. Do not evaluate! (Hint: You may use the fact that the equation of the plane containing the given points is y = 3z.) As usual, include all relevant diagrams.

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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Let C be the curve consisting of the three edges of the triangle with vertices (0, 0, 0), (1, 0, 0), and (1, 3, 1). Assume C is oriented counterclockwise when viewed from above. Using the Stokes' Theorem turn S(xi + yj + z²k) · dr into a surface integral. Proceed until you get an iterated double integral. Do not evaluate! (Hint: You may use the fact that the equation of the plane containing the given points is y = 3z.) As usual, include all relevant diagrams.
Transcribed Image Text:Let C be the curve consisting of the three edges of the triangle with vertices (0, 0, 0), (1, 0, 0), and (1, 3, 1). Assume C is oriented counterclockwise when viewed from above. Using the Stokes' Theorem turn S(xi + yj + z²k) · dr into a surface integral. Proceed until you get an iterated double integral. Do not evaluate! (Hint: You may use the fact that the equation of the plane containing the given points is y = 3z.) As usual, include all relevant diagrams.
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