5) Consider a vector field F(x, y, z) = 3y! – xz] + yz?k. Let S be an equation of 2z = x2 + y? located below z = 2, with downward orientation, then, i) show that F. dr = -12 sin² 0 – 8 cos? 0. Then calculate F dr. (Ans:20n) ii) show that curlĘ n = z2x + x² + z + 3. Then, evaluate curlĘ · nds. (Ans:20n)
5) Consider a vector field F(x, y, z) = 3y! – xz] + yz?k. Let S be an equation of 2z = x2 + y? located below z = 2, with downward orientation, then, i) show that F. dr = -12 sin² 0 – 8 cos? 0. Then calculate F dr. (Ans:20n) ii) show that curlĘ n = z2x + x² + z + 3. Then, evaluate curlĘ · nds. (Ans:20n)
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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