(3 + 2ry,12-3уг), 5. Find JeF . Tds, (et sin t, et cost),0 t where F(x,y) and C is given by r(t) - T. (3 + 2ry,12-...

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(3 + 2ry,12-3уг), 5. Find JeF . Tds, (et sin t, et cost),0 t where F(x,y) and C is given by r(t) - T.

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Answer 1

Answer #1

IF YOU HAVE ANY DOUBTS COMMENT BELOW I WILL BE TTHERE TO HELP YOU..ALL THE BEST..

3, x2-3 уг, curl 2 xy+ (0, 0, 0)

The curl of the given vector field is zero and thus the vector field is conservative. Thus we can define a scalar potential which is

f(x,y)=3x+x^2y-3y^3/3=3x+x^2y-y^3

$r(pi)=<0,-e^{pi}>, r(0)=<0,1>$

The value of the line integral = f(0.-e*) _ f(0. 1) 12391.6-(-1) 12392.6

I HOPE YOU UNDERSTAND..

PLS RATE THUMBS UP..ITS HELPS ME ALOT..

THANK YOU...!!

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Answer 2

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