4) a) Find a potential function f (#, y, z) with Vf = F(r, y, 2) = yz? 7 + (xz² + 2z) + (2.ryz + 2y) k b) Use the potential function to evaluate Se FodT = fc yz?dx+ (xz? +22)dy + (2aryz+ 2g)dz, where C is any path from (2, 2, 3) to (1,0, 2). %3D c) What is the value of feyz?dx + (rz2 + 2z)dy + (2ryz + 2y)dz if C is the circle : r2 + y? = 16; z 5; traversed counterclockwise ?
4) a) Find a potential function f (#, y, z) with Vf = F(r, y, 2) = yz? 7 + (xz² + 2z) + (2.ryz + 2y) k b) Use the potential function to evaluate Se FodT = fc yz?dx+ (xz? +22)dy + (2aryz+ 2g)dz, where C is any path from (2, 2, 3) to (1,0, 2). %3D c) What is the value of feyz?dx + (rz2 + 2z)dy + (2ryz + 2y)dz if C is the circle : r2 + y? = 16; z 5; traversed counterclockwise ?
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 22E
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