a) Find the values of a,b,c which make f(x,y,z) = sin (xªy®z©) a potential function for the vector field F(x,y.z)= 4 x°y?z? cos (x*y"z7) i+ 7x*y®z7 cos (x*y'z?) j + 7 x*y?z® cos (x*y?z?) k a= b= c= b) Find the work of F along the curve r(t)= (2t, e t(t - 1), e t(t – 1)) for 0sts1. Do not approximate your answer. For example, leave sin (e) as that, not 0.41. Work = F• dr
a) Find the values of a,b,c which make f(x,y,z) = sin (xªy®z©) a potential function for the vector field F(x,y.z)= 4 x°y?z? cos (x*y"z7) i+ 7x*y®z7 cos (x*y'z?) j + 7 x*y?z® cos (x*y?z?) k a= b= c= b) Find the work of F along the curve r(t)= (2t, e t(t - 1), e t(t – 1)) for 0sts1. Do not approximate your answer. For example, leave sin (e) as that, not 0.41. Work = F• dr
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:a) Find the values of a,b,c which make
f(x,y,z) = sin (xay°z©) a potential function for the vector field
F(x.y,z)= 4 x³y'z? cos (x*y z7) i+ 7x*y®z7 cos (x*y'z?) j + 7x*y?z® cos (x*y'z7) k
a=
b=
c=
b) Find the work of F along the curve r(t)=(2t, e t(t – 1), e tt – 1)) for 0sts1.
Do not approximate your answer. For example, leave sin (e ) as that, not 0.41.
Work =
F•dr =
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