{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

solution1s

# solution1s - NamegzID gm 200—300 Responses without work...

This preview shows pages 1–2. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: NamegzID; gm _ 200—300 05/08/2009 ' Responses without work Will receive no credit. Each exercise is worth one point and the last two problems are on the back. EXercise 1. Write and label the formulas for Green s Theorem, Stokes’ Theorem, and the Diver— gence Theorem (Just the formulasm—you don’t need to state all the hypotheses.) GWSQE F-al’l [Lag/hot 97901 Exercise 2. Use Stokes’ Theorem to calculate fCF dr Where F(a:,y,z)=_m1-l- 6"” j + 6" k and ' C' is the boundary of the portion of the plane 201+ y+ 2z— - 5 1n the tirst octant orientecl positively as viewed from above. ' . . 3- HM COLA/Q?" (Rb Qi‘ba'l’ajz /EI<J *(gx Pal: % (0 0)? +(o eyewtei’fk ,x 3/1, WWW W Ozxziawllléjég’ax 0-10.!leng r0903 wards—x £32 mama—em 09945 9.0/1- ea, L J l4 ’3' ..H.;,?rl‘xxfy l 0 4;\¢+7j+71_31_ 0 I”? 2 ' X i 111 Ml“ _ a S/R 7 ' "— e’ v _- ‘ , MATH 53 Discussion — Kaspar Exercise 3' Let F be a vector ﬁeld 31 the upper half of the unit sphere (i e x2 + y2 + 22 =1 2 > 0) and S; the portion of the paraboloid z— — 1 m (at2 + yz) where z > 0,- both surfaces oriented upward. Use Stokes Theorem to show ffs curlF- dS= [sz curlF- dS ' ﬂaw/111301? £1? -chwmg+,1w ’WW 473% _ _ WW5 Wwﬁﬁ‘i? f” 1111,3115th m 115. we-e’eﬂmeﬁ -_-;.Exercise 4. Use the Divergence Theorem to calculate ffSF dS, Where F— = e” sinyi + em cosyj 4f— 1312'2 k and Sis the 'surface of the box 0 _<_ a: < 1,0 < y__ < 1,0 < z < 2 oriented outward. HWWF (2W3)k+(2wo3\3(152);— 60M) ~2W3 +33? :292 ...
View Full Document

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern