2. (a) Show that F = (e² cos(y), –E sin(y), 2) is conservative using partial derivatives. (b) Find the potential function for F. (c) Evaluate F - dr where C is any smooth curve from (0, 7/2, 1) to (1, п, 3).

Linear Algebra: A Modern Introduction
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ISBN:9781285463247
Author:David Poole
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Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
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Need help with parts B and C

2. (а)
Show that F = (e² cos(y), –e² sin(y), 2) is conservative using partial
derivatives.
(b)
Find the potential function for F.
(c)
Evaluate / F- dř where C is any smooth curve from (0, 7/2, 1) to
(1, п, 3).
Transcribed Image Text:2. (а) Show that F = (e² cos(y), –e² sin(y), 2) is conservative using partial derivatives. (b) Find the potential function for F. (c) Evaluate / F- dř where C is any smooth curve from (0, 7/2, 1) to (1, п, 3).
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