Find the value of the line integral § (4x − 3y + 1) dx − (3x+y−5)dy. с (Hint: If F(x,y) = (4x − 3y + 1)i − (3x + y −5)j is conservative, the integration may be easier on an alternate path.) 3- 2- 14 0 y = ex (0.1) p(1,e) C

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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Find the value of the line integral § (4x − 3y + 1) dx − (3x+y−5)dy.
C
(Hint: If F(x,y) = (4x − 3y + 1)i− (3x + y −5)j is conservative, the integration may be easier on an alternate
path.)
-1
3-
2-
= ex
(0.1)
(1,e)
Transcribed Image Text:Find the value of the line integral § (4x − 3y + 1) dx − (3x+y−5)dy. C (Hint: If F(x,y) = (4x − 3y + 1)i− (3x + y −5)j is conservative, the integration may be easier on an alternate path.) -1 3- 2- = ex (0.1) (1,e)
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