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Given the force field F= (z°cos x + 2xy²)i+ (2x²y – c)j+ (3z2 sin x a – The first digit of your matrix number c - The last digit of your matrix number – a)k - For example, a student with the matrix number CD200079 will have the values of a = 2 and c = 9. Use 1 if the last digit is of your matrix number is 0. (i) Prove that F is conservative (ii) By using formula VØ = F, find a scalar potential Ø for F. (iii) Hence, compute the amount of work done against the force field F in moving an object from the point (0, -1, 1) to (1, 2, 2).

Given the force field F= (z°cos x + 2xy²)i+ (2x²y – c)j+ (3z2 sin x a – The first digit of your matrix number c - The last digit of your matrix number – a)k - For example, a student with the matrix number CD200079 will have the values of a = 2 and c = 9. Use 1 if the last digit is of your matrix number is 0. (i) Prove that F is conservative (ii) By using formula VØ = F, find a scalar potential Ø for F. (iii) Hence, compute the amount of work done against the force field F in moving an object from the point (0, -1, 1) to (1, 2, 2).

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.7: The Inverse Of A Matrix
Problem 32E
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first digit is 2

last digit is 8

Q1 Given the force field F%3D (23 cos x + 2ху?)і + (2x^у — с)j + (a) (3z? sin x – a – The first digit of your matrix number c - The last digit of your matrix number а)k For example, a student with the matrix number CD200079 will have the values of a = 2 and c = 9. Use 1 if the last digit is of your matrix number is 0. (i) Prove that F is conservative (ii) By using formula VØ = F, find a scalar potential Ø for F. (iii) Hence, compute the amount of work done against the force field F in moving an object from the point (0, -1, 1) to (1, 2, 2).
Transcribed Image Text:Q1 Given the force field F%3D (23 cos x + 2ху?)і + (2x^у — с)j + (a) (3z? sin x – a – The first digit of your matrix number c - The last digit of your matrix number а)k For example, a student with the matrix number CD200079 will have the values of a = 2 and c = 9. Use 1 if the last digit is of your matrix number is 0. (i) Prove that F is conservative (ii) By using formula VØ = F, find a scalar potential Ø for F. (iii) Hence, compute the amount of work done against the force field F in moving an object from the point (0, -1, 1) to (1, 2, 2).
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