let F be the field F=ye^xi+(x+e^x)j+z^2k and let C be the curve given by r(t) =(1+cost)i+(1+sint)j+(1-sint-cost)k for 0?t?2x. Find intergaC F.dR

$15. Let $ \mathbf{F} $ be the field $ \mathbf{F}=y e^{x} \mathbf{i}+\left(x+e^{x}\right) \mathbf{j}+z^{2} \mathbf{k} $, a$

Question

let F be the field F=ye^xi+(x+e^x)j+z^2k and let C be the curve given by r(t) =(1+cost)i+(1+sint)j+(1-sint-cost)k for 0?t?2x. Find intergaC F.dR

$15. Let $ \mathbf{F} $ be the field $ \mathbf{F}=y e^{x} \mathbf{i}+\left(x+e^{x}\right) \mathbf{j}+z^{2} \mathbf{k} $, a$

15. Let

F

be the field

F = y e^{x} i + (x + e^{x}) j + z^{2} k

, and let

C

be the curre giee ovs

R (t) = (1 + cos t) i + (1 + sin t) j + (1 ? sin t ? cos t)

for

0 ? t ? 2 ?

. Find

? c F ? d R

. (Hint: Use Stokes' theorem, obsening tat Cs avere tained in a certain plane and that the projection of

C

on the

x y

plase is a dictel

Accepted Answer

Expert Answer to - let F be the field F=ye^xi+(x+e^x)j+z^2k and let C be the curve given by r(t) =(1+cost)i+(1+sint)j+(

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Solution for - let F be the field F=ye^xi+(x+e^x)j+z^2k and let C be the curve given by r(t) =(1+cost)i+(1+sint)j+(

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This an additional answer to - let F be the field F=ye^xi+(x+e^x)j+z^2k and let C be the curve given by r(t) =(1+cost)i+(1+sint)j+(

(Solved): let F be the field F=ye^xi+(x+e^x)j+z^2k and let C be the curve given by r(t) =(1+cost)i+(1+sint)j+( ...