Parametrized - Multivariable - Solved Exam, Exams of Mathematics

This is the Solved Exam of Multivariable which includes Parametrized, Figure, Parallelogram, Drawing, Open Sets, Definition, Lines Intersect, Parameterized etc. Key important points are: Parametrized, Figure, Line Integrals, Upper Half, Circle, Plane, Counterclockwise, Oriented, Positive, Solid

Typology: Exams

2012/2013

Uploaded on 03/07/2013

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Name: Solu hon Exam 3- In-Class Portion Show all your work to receive full credit for a problem. 1. Suppose F : R? -+ R? is a path independent vector field. Suppose C), C2, Cy are paths in R? as pictured below. : c C, - A CB C4 a) (3 pts) Can you compute ¢, F-dx? If so, what is it? If not, why not? on ft Qe ak 20 lame & FS Gath herded and Cy ws a cheted corse. (b) (3 pts) Is fy, F-dx = f,, F-dx? Explain why or why not. + Tren are col Ae Sacre. By the Lraacedeal thearer Sar - = Ky gat ontagele > awd re FF a pats wha pindes ¢ FA e SOB -SAD Lost ‘¢ is poo Ma ee EBA un ate ee ¢ age S(AY- FCB) o-\i Fae c ze. * 6 Mery fer mn Sar.