Math252Quiz5F08

# Math252Quiz5F08 - Math 252 Name QUIZ 5(CHAPTER 18 MATH 252...

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Math 252 Name: ________________________ QUIZ 5 (CHAPTER 18) MATH 252 – FALL 2008 – KUNIYUKI 105 POINTS TOTAL, BUT 100 POINTS = 100% Show all work, simplify as appropriate, and use “good form and procedure” (as in class). Box in your final answers! No notes or books allowed. A scientific calculator is allowed. USE THE BACK OF THIS TEST IF YOU NEED MORE SPACE!! 1) Matching. (9 points total) Fill in each blank below with a true property describing the vector field F . (Assume that we are only evaluating F on its domain.) A. The vectors in the field all have the same direction. B. The non- 0 vectors in the field all point away from the origin. C. The vectors in the field are all unit vectors. I. F x , y () = x i + y j . It is true that _____. II. F x , y = 2 i + 3 j . It is true that _____. III. F x , y = 1 x 2 + y 2 ± x i ± y j . It is true that _____.

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2) Let F x , y , z () = x 2 e 2 z , cos 3 y , xy 2 z 3 ± x . (20 points total) a) Find div F . b) Find curl F .
3) C consists of the curves C 1 and C 2 in xyz -space. That is, C = C 1 ± C 2 .

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Math252Quiz5F08 - Math 252 Name QUIZ 5(CHAPTER 18 MATH 252...

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