7) Consider a vector field F(x, y, z) = 3yi − xz j + yz².k. Let S be an equation of 2z = x²+y² located below z = 2, with downward orientation, then, i) show thatƑ · dr = −12 sin² 0-8 cos² 0. Then calculate fF.dr. (Ans: 207) с ii) show that curl.Fn =. 1 = z²x + x² + z +3. Then, evaluate ff curl.F-n ds. (Ans: 207)
7) Consider a vector field F(x, y, z) = 3yi − xz j + yz².k. Let S be an equation of 2z = x²+y² located below z = 2, with downward orientation, then, i) show thatƑ · dr = −12 sin² 0-8 cos² 0. Then calculate fF.dr. (Ans: 207) с ii) show that curl.Fn =. 1 = z²x + x² + z +3. Then, evaluate ff curl.F-n ds. (Ans: 207)
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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