211-bolotin-07spex03

211-bolotin-07spex03 - Math 211 I Spring 2007 Exam III ' s....

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Unformatted text preview: Math 211 I Spring 2007 Exam III ' s. Bolotin Lecture 1 Your Name: Your TA: Your Section Meeting time: POINTS SCORE O - ‘ III 20 PROBLEM Show all your work: no work - no credit. Leave your answers in exact forms (using 6, 1n 2, and similar numbers). Circle your answer. Hand in your exam to your TA. Math 211 - Exam III - Bolotin - 4/18/2007 Page2 I. Evaluate the indefinite integrals x3+x2 , ~——d (a) /3$4+4:c3 x (b) /w7 1n xdm Math 211 - Exam III - Bolotin — 4/18/2007 Page3 VII. Evaluate the definite integrals 2 (a) / x3em4 dm 0 , 2 (b) / x64” dx 1 (c) Find the average value of the function f (1:) = 6\/E on the interval [1,4]. Math 211 — Exam III - Bolotin - 4/18/2007 4 Page4 111. Find the total area of the finite regions enclosed between the curves 1y 4—— 4x3 and y '2 12:02 — 8:17. Math 211 - Exam III - Bolotin — 4/18/2007 Page5 IV. Suppose a man opens an account with interest rate 5% atthe age of 25 and _ start depositing money continuously at the rate of 50000 dollars per year for the next 40 years, till he retires at 65. Then he starts withdrawing money . continuously at the rate of 100000 dollars per year. (a) Find how much money the man will have when he retires. (b) Find how old the man will be when the account expires. Math 211 — Exam III' - Bolotin — 4/18/2007 - Pages V. The demand equation for a product is = 300—0.03q2, and the supply equation is p = 0.09q2, where p is the price and q is the quantity. i (a) Find the equilibrium price pe and quantity qe. (’0) Find the consumer surplus CS. (c) Find the producer surplus PS. Math 211 - Exam III - Bolotin - 4/18/2007 Page 7 Scratch paper ...
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211-bolotin-07spex03 - Math 211 I Spring 2007 Exam III ' s....

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