101-2000&amp;2001-1-F10-January2001

# 101-2000&amp;2001-1-F10-January2001 - Kuwait Uniyersity...

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Kuwait Uniyersity Dept o~Math Comp Sd Math 101 Final Examination January 3, 2001 Duration: 2 hour~ Answer th~ following questions. Calculators, Mobile Phones and Pagers are not allowed I . ( ) F· d Ii 1- cos(x + 3) ( P' 1. a III m 2 6' 3 oIllts X-> -3 X +x- { 3x2 - 2, if x < 0, (b) Let f(x) = 2 2 3 Find all points of discontinuity of f and classify eac. x - x- 2 4 3 ' if x ~ 0. e- X - x+ . <- discontinuity as removable, infinite or jump. (3 Points 2. (a) Let f(x) = x3 + ~ sec2 (ix) . Use differentials to find the approximate change in f if x changes fron 2 to 2.01. (3 Points: (b) Determine whether f(x) = x2+4J5-=;;2 satisfies the hypotheses of Rolle's theorem on [-2,2], ane if so, find the numbers c satisfying the conclusion of the theorem. (3 Points) 2 3. Find the points on the graph of: - y2 = 1 that are closest to th~ point P(5, 0). 4. (a) Let f(x) = x3 + sinx. Find the average value of f on [-3,3]. X2

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101-2000&amp;2001-1-F10-January2001 - Kuwait Uniyersity...

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