101-2001&amp;2002-3-F10-August2001

# 101-2001&amp;2002-3-F10-August2001 - 1\1ath 101 Final...

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1\1ath. 101 Final Exam. Date: Duration: ill Augu::;t 11, 2001 Two hour::; Calculators, 1\10 bile Phones and Pagers are not allowed AnS\H'T t.he following questiuns: (Each question weighs 4 points) E 1 h f 11 . 1" 'f' . l' ()4.1;2 + 1 . 1) 1. va uat.e t e 0 owmg Imlt, I It eXIsts IlTI ---- + ;l:sm - . x~CX' .1: + 2 1.: 2. Classify the discontinuities of J as removaLle, jump, or infinite where 3. Evaluate:. J ds jS cos2 jS . 4. Evaluate: 1 J (t3 + 2)1 - (2) dt. -1 V p> Let J be a continuous _,,-ve':fune lion such that J (x) > 0 for all 0: in JR:.If the averag~ value of J on [0,3], Jav = 5, find the area of the region under the graph of J from x = -3 tu x = 3. 2 6. Let J(x) = J )[2 + 1 dt. Show that J is a decreasing function and evaluate J(l). x3+x 7. Find the arc length of the gra1Jh of y = ~ (x2 + 2) ~ from :1: = ° to .1; = 1. J [8J Find the area of the region bounded by the graphs of t.he equat.ions y = x:l and y = jX.( )~[] The region bounded by the graphs of the equations y = jX and y about

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## This note was uploaded on 02/23/2010 for the course CHEMISTRY 0420101 taught by Professor Dep during the Spring '10 term at Kuwait University.

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101-2001&amp;2002-3-F10-August2001 - 1\1ath 101 Final...

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