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Math252Quiz5F06 - Math 252 Name QUIZ 5(CHAPTER 18 MATH 252...

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Math 252 Name: ________________________ QUIZ 5 (CHAPTER 18) MATH 252 – FALL 2006 – 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) C consists of the curves C 1 and C 2 in the xy -plane. That is, C = C 1 C 2 . The curve C 1 is the directed line segment from 0, 0 ( ) to 4, 2 ( ) , and the curve C 2 is the portion of the parabola x = y 2 directed from 4, 2 ( ) to 9, 3 ( ) . If the force at x , y ( ) is F x , y ( ) = 4 y 3 , 3 x , find the work done by F along C . It is recommended that you write your final answer as a decimal. (25 points) YOU MAY CONTINUE ON THE BACK.
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2) Use the idea of potential functions and the Fundamental Theorem for Line Integrals to show that the following line integral is independent of path in Octant I of xyz -space and to evaluate the integral. Show all work, as we have done in class. Use good form. In particular, indicate independent variables for
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