Answered: 3. Use the fact that F =< 2xye*²y…

3. Use the fact that F =< 2xye*²y x²ex²y > is a conservative vector field to evaluate SF. dr when C is the path r(t) =< t – 1,t² + 1>, 0

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter4: Vector Spaces

Section4.4: Spanning Sets And Linear Independence

Problem 76E: Let f1(x)=3x and f2(x)=|x|. Graph both functions on the interval 2x2. Show that these functions are...

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Question

Did I use the right formula for this question? Thanks!

600
3. Use the fact that F =< 2xye*²y,x²ex²y > is a conservative vector field to evaluate
SF·dr when C is the path r(t) =< t – 1, t² + 1 >, 0 <ts 2.
du =
Szege du: Se"du=
dx
du = 2xy dx
e
2xy
[o,2]
f(x, 4) = e*g
SF dř- f (x(e), y(0))- f(x(0), q0) = f(1,5)-f(-1,1)
x(0) = 6-1 = -1
X(z) = 2-1= I
401=02+1=
y12) = 2?+1= s
X(t)= t-1
e
- e
e - e =
147.413159103
ndary
hat have
.ce of F is
*****
FIVE STAR.

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