Evaluate the line integral F. dr, where F (x, y) = (3+2xy) i+ (x² – 3y²) j and C is the curve given by r (t) = e' sin t i+e' cos t j 0

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.
Chapter4: Calculating The Derivative
Section4.4: Derivatives Of Exponential Functions
Problem 37E: Use graphical differentiation to verify that ddxex=ex.
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Evaluate the line integral / F. dr,
where
F (x, y) = (3 + 2xy) i+ (x² – 3y²) j
-
and C is the curve given by
r (t) = e' sin t i+e' cos t j
0 <t <T
Transcribed Image Text:Evaluate the line integral / F. dr, where F (x, y) = (3 + 2xy) i+ (x² – 3y²) j - and C is the curve given by r (t) = e' sin t i+e' cos t j 0 <t <T
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