F(r, y) = (2xy³ +3)i+ (3x²y² + 2e²»)j is conservative by finding a potential function f for F, and use f to compute F. dr. where C is the curve given by 2t sin" 5tj r(t) = 2 sin' ti+ 10 for 0
F(r, y) = (2xy³ +3)i+ (3x²y² + 2e²»)j is conservative by finding a potential function f for F, and use f to compute F. dr. where C is the curve given by 2t sin" 5tj r(t) = 2 sin' ti+ 10 for 0
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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Transcribed Image Text:F(x, y) = (2xy³ + 3)i + (3æ²y? + 2e²)j
is conservative by finding a potential function f for F, and use f to compute
F. dr, where C is the curve given by
r(t) = 2 sin" ti+
2t
sin10 5tj
for 0 <t < T/2.
f(x, y) =
F. dr =
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