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211-kalafat-07faex01

# 211-kalafat-07faex01 - ID UW Calculus 211 Midterm 1 Oct 24...

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Unformatted text preview: ID: . . . . . . . . . . .. UW Calculus 211 Midterm 1 Oct 24 , 2007 SHOW ALL YOUR WORK. CALCULATORS ARE NOT ALLOWED AND ARE NOT NEEDED. FIVE PROBLEMS. GOOD LUCK, M.KALAFAT 1. Suppose that you put \$5,000 in an account paying 5% annual interest. How much money will there be at the end of 2 years in the following cases? (Leave the answer as it is, no need to simplify) (a)(5 pts) If the interest is compounded monthly. (a,)(5 pts) If the interest is compounded continuously. 2. (5 pts) Compute the following limit, Show your work. lim ﬂ ' 1 ar—d x -— l 3. (5 pts) Consider the function x2 — ac — 2 M % 7:5— Does it have a limit everywhere on the real line(y/n)? If it does explain why, if not ﬁnd the point(s) where the limit does not exist. 4. Compute the following derivatives. (a)(4 pts) __ cvlnx _— x+5 5. Consider the function f(x) = x3 + 3x2 — 9x + 7 (a)(4 pts) Find all of its critical points. (b)(3 pts) Determine the intervals where the function is increasing, and Where it is decreasing. (c)( 3 pts) Classify the critical points as local maximum or minimum, give reasons. Is there a point which provides the global maximum or minimum? ...
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