Evaluate z c f ds where f x y z y2 x z2 and c is the

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Calculus of a Single Variable
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Chapter 9 / Exercise 71
Calculus of a Single Variable
Edwards/Larson
Expert Verified
5. Evaluate~c
6. LetSbe the portion of the paraboloidz= 4-x2-y2for whichz0 with upwardorientation and let~cbe the positively oriented circlex2+y2= 4 that forms theboundary ofSin thexy-plane.Use Stokes’ Theorem to compute the path integralZ~c~F·d~s, where~F(x, y, z) = (2z,3x,5y).
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Calculus of a Single Variable
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Chapter 9 / Exercise 71
Calculus of a Single Variable
Edwards/Larson
Expert Verified
7. Determine whether the given sequence is convergent or divergent. If convergent, findthe limit. If divergent, explain why?
8. Determine whether the series converge or diverge. Please justify your answer.
(b)en31-n

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