Use only the Stokes’ theorem to evaluate integralC(−z − y)dx + (x − z)dy + (x − y)dz where C is the intersection of z = x^2 + y^2 and z = y, oriented counterclockwise looking down from the positive z-axis. Sketch the surface σ and the region R accurately. Simplify your answer.
Use only the Stokes’ theorem to evaluate integralC(−z − y)dx + (x − z)dy + (x − y)dz where C is the intersection of z = x^2 + y^2 and z = y, oriented counterclockwise looking down from the positive z-axis. Sketch the surface σ and the region R accurately. Simplify your answer.
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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Use only the Stokes’ theorem to evaluate integralC(−z − y)dx + (x − z)dy + (x − y)dz where C is the intersection of z = x^2 + y^2 and z = y, oriented counterclockwise
looking down from the positive z-axis. Sketch the surface σ and the region R
accurately. Simplify your answer.
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