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102-2007&amp;2008-1-M10-November2007_2

# 102-2007&amp;2008-1-M10-November2007_2 - Kuwait...

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Unformatted text preview: Kuwait University MATH 102 Nov. 10, 2007 Math. Degt. First Midterm Test Duration 90 minutes Calculators and mobile telephones are not allowed. Answer the following questions. ez+3 1. (4 pts) Let ﬁx) 2 ex+13 \$20. (a) Prove that f is oneLto—one. (b) Find f—1 and its domain. 2. (3 pts ) Find if cota:( tan—1 9:) y=7r m 3. (2 pts each) (a) Show that sec'1(—) = sin—1(—2e_“)+ — for o: 2 1n 2. (b) Calculate coth(ln 2). 4. (4 pts each) EValuate_ the following integrals: (a) f i; (in) f (2x +32”)2dz ﬁ(1.’+ 6—5) 5. (3 pts each) EValuate the limit, if it exists: . I; _ 1 23+]. (a) Each“) - (b) Hm ln(cos 2:) x—I-O :L'sinm I O. 99 OO 99 ...
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102-2007&amp;2008-1-M10-November2007_2 - Kuwait...

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