Theorem - Calculus - Solved Quiz, Exercises of Calculus

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NAME: Soce TreNs Math 106 - Quiz 2- January 18, 2008 Instructions: Show all of your work and circle your final answers. Calculators are allowed, but notes and books are not. = For all questions on this quiz, let J = : x” dr. Each question is worth 4 points. 0 1. By hand, evaluate R3. I e bet Bao | fo: eee Aue 2 = : | ee ae fr2yaxn+ Stay an. (ot eee * stashial 2. Using a theorem from class, what is the maximum possible error in using Rg to approximate this integral J? z 2, weds Ky needs PICS. flere wy se fladoex, 2x] hes wax valre Cm fo,23. $e K,=G dud Pe eels Ste, Ges (T] 3. Use the FTC to evaluate J exactly. ede 27 = 2. 2 (J o 4, What is the actual error in using Rs to approximate /? T=1 5 Peet, (D-es(= la-eal =f ~— 5. Using a theorem from class, how large should n be chosen to guarantee that |J — M,| < wa? M,, need 5 us, necl fC), f(x) ee, File) = ex, FM(xy=2_ Mak value ot [foal S 2. t+ é Went nse thet ID-Hul< pes al