Show that (2x In yz-5ye") dx-(5e* -x²y)dy +(x²z- +2=) dz, where C runs from (2,1,1) to (3,1,e), is independent of path in R° and use a potential function to evaluate the integral.
Show that (2x In yz-5ye") dx-(5e* -x²y)dy +(x²z- +2=) dz, where C runs from (2,1,1) to (3,1,e), is independent of path in R° and use a potential function to evaluate the integral.
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 25E
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Transcribed Image Text:Show that
(2x In yz – 5ye") dx –(5e* – x²y)dy +(x²+22) dz,
-1
where C runs from (2,1,1) to (3,1, e), is independent of path in R° and use a potential
function to evaluate the integral.
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