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211-bolotin-07spex01 - Math 211 V Spring2007 Exam I I S...

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Unformatted text preview: Math 211 . V Spring2007 Exam I , I S. Bolotin Your Name: Your TA: Your Section Meeting time: Show all your work. N 0 work —- no credit. Leave your answers in- exact forms (using 6, 1n 2, \/§ and similar numbers). Circle your answer. You may use the last page as scratch paper, but it will not be checked. Hand in your exam to your. TA. Math 211 - ExamI - Bolotin '- 02/14/07 Page 2 I. (20 points) Findeach limit, if it exists, or Show that the limit does not exist. , 25—2 (a);l—r1%$2+x—6 03) 1:13:13 3:2 +x — 6 (c) lim(1 + 22:)1/9‘. z—->0 Math 211 - ExamI - Bolotin - 02/14/07 (1)2 $2 — 5x + 6 . of the graph y = f (:22) and sketch the graph. II. (20 points) Let f (2:) 2 . Find vertical and horiZGnta Math 211 - ExamI - Bolotin — 02/14/07 Page4 III. (20 points) Using the definition of the derivative as a limit ' , _. f($+h)-f($). f (“7) — i153) h l xii-1' find f’ (m) for the function f (m) = Math 211 - ExamI - Bolotin — 02/14/07 Page5 IV. (20 points) (a) Using appropriate rules, find f’($) for the function flan) =2 2/3,- + 2va —' 339/3. ' (b) Find an equation for the tangent line to the graph y = 2 / a: + 2V 3:5 —— 3131/3 at the point :3 = 1, y = 1. ., Math 211 — ExamI - Bolotin ,- 02/14/07 Page6 V. (20 points) Suppose you put $1000 in a CD account paying an annual interest rate 8%. Find how long it will take for the amount of money to reach $3000 if the interest is compounded: (la) 8 times a year (b) continuously ...
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