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ASSIGNMENT NO.2 = 1. If F = 3xyi - y²j, evaluate fF.dr, C is the curve in the xy-plane, y to (1,2) DUE DATE: 10-10-2022 2. Find the work done in moving a particle once a circle C in the xy-plane, if the radius 3 and if the force field is given by F : (2x − y + z)i + (x + y − z²)j + (3x – 2y + 4z)k = 3. Given that F = + 3xz²k: 2x², from (0,0) (2xy + z³)i + x² (a) show that F is a conservative force field (b) Find the scaler potential (c) Find the work done in the moving object in th field from (1, -2, 1) to (3, 1,4)

ASSIGNMENT NO.2 = 1. If F = 3xyi - y²j, evaluate fF.dr, C is the curve in the xy-plane, y to (1,2) DUE DATE: 10-10-2022 2. Find the work done in moving a particle once a circle C in the xy-plane, if the radius 3 and if the force field is given by F : (2x − y + z)i + (x + y − z²)j + (3x – 2y + 4z)k = 3. Given that F = + 3xz²k: 2x², from (0,0) (2xy + z³)i + x² (a) show that F is a conservative force field (b) Find the scaler potential (c) Find the work done in the moving object in th field from (1, -2, 1) to (3, 1,4)

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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Please help with question 3 of these vector calculus questions 

ASSIGNMENT NO.2 1. If F = = 3xyî – y²j, evaluate fF.dr, C is the curve in the xy-plane, y = 2x², from (0,0) to (1, 2) DUE DATE: 10-10-2022 2. Find the work done in moving a particle once a circle C in the xy-plane, if the radius 3 and if the force field is given by F (2x − y + z)i + (x + y − z²)j + (3x – 2y + 4z)k = (2xy + z³)i + x²ĵ + 3xz²k : (a) show that F is a conservative force field (b) Find the scaler potential (c) Find the work done in the moving object in th field from (1, -2, 1) to (3, 1, 4) 3. Given that F =
Transcribed Image Text:ASSIGNMENT NO.2 1. If F = = 3xyî – y²j, evaluate fF.dr, C is the curve in the xy-plane, y = 2x², from (0,0) to (1, 2) DUE DATE: 10-10-2022 2. Find the work done in moving a particle once a circle C in the xy-plane, if the radius 3 and if the force field is given by F (2x − y + z)i + (x + y − z²)j + (3x – 2y + 4z)k = (2xy + z³)i + x²ĵ + 3xz²k : (a) show that F is a conservative force field (b) Find the scaler potential (c) Find the work done in the moving object in th field from (1, -2, 1) to (3, 1, 4) 3. Given that F =
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