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101-2006&amp;2007-2-M10-March2007

# 101-2006&amp;2007-2-M10-March2007 - Kuwait University...

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Unformatted text preview: Kuwait University MidTerm 1. (Math 101) March 28, 2007. Dept. Of Math. and Comp. Sci. Duration: 90 minutes M CALCULATORS, MOBILE PHONES AND PAGERS ARE NOT ALLOWED Answer the following questions 1. [4pts] Evaluate each Of the following limits, if it exists , V2233 -— l — 1 (a) 11m———————— 3—41 3—1 (h) ye} (m + again) ' 3 l \$+li 2. [4pts] Use the deﬁnition of the derivative to find f’(0) if ﬁns) 2 I 3. [4pts] Find figs), where f(x) = sin3 (ﬂ) . 4. [4pts] Find vertical and horizontal asymptotes, if any, for the graph of [x — 3|(I + 7) f(fﬂ)= 32—534'6' 5. [4pts] Let W + sin3(A :r) “93) = 8 x3 if 3; ﬂ + B if a: > 0. Find the values Of A and B such that f is continuous at :r = D. 6.[5pts] (a) State the Intermediate Value Theorem (b) Let ﬁx) = 2.1: 5111(3) + x + 1. Show that there is a point P On the graph of f at which the the tangent line is parallel to the straight line 9 -— 22: + 1 = O. OO 99 ...
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