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Unformatted text preview: 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. 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-space and to evaluate the integral....
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