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Unformatted text preview: Math 252 Name: ________________________ QUIZ 2 (CHAPTER 15, 16.1, 16.2) MATH 252 FALL 2007 KUNIYUKI SCORED OUT OF 125 POINTS MULTIPLIED BY 0.84 105% POSSIBLE 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. Clearly mark vectors, as we have done in class. I will use boldface, but you dont! When describing vectors or vector-valued functions, you may use either or i j k notation. USE THE BACK OF THIS TEST IF YOU NEED MORE SPACE!! 1) Find the length of the curve parameterized by: x = t 2 , y = 5 2 t 2 , z = 2 t , 0 t 2 . Major Hint (which you may use without proof): According to the Table of Integrals, if a is a positive real constant, a 2 + u 2 du = u 2 a 2 + u 2 + a 2 2 ln u + a 2 + u 2 + C Leave your answer as a simplified exact answer; do not approximate it using a calculator. You do not have to apply log properties at the end. Distance iscalculator....
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