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Show F(z,y) = (8ry³ + 8)i + (12z³y² +2e²)j is conservative by finding a potential function f for F, and use f to compute S F-dr, where C is the curve given by r(t) = (2 sin³ t)i + (sin" (5t)) j for 0 St≤m/2. 7-dr

Show F(z,y) = (8ry³ + 8)i + (12z³y² +2e²)j is conservative by finding a potential function f for F, and use f to compute S F-dr, where C is the curve given by r(t) = (2 sin³ t)i + (sin" (5t)) j for 0 St≤m/2. 7-dr

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.2: Partial Derivatives
Problem 28E
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Show F(x, y) = (82y³ + 8)i + (12z³y² +2e²) j is conservative by finding a potential function f for F, and use f to compute So F-dr, where C is the curve given by r(t) = (2 sin³ t)i + (sin* (5t)) J for 0 St≤m/2. dr = 0
Transcribed Image Text:Show F(x, y) = (82y³ + 8)i + (12z³y² +2e²) j is conservative by finding a potential function f for F, and use f to compute So F-dr, where C is the curve given by r(t) = (2 sin³ t)i + (sin* (5t)) J for 0 St≤m/2. dr = 0
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