211-kalafat-07faex02

211-kalafat-07faex02 - ID: . . . . . . . . . . .. UW...

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Unformatted text preview: ID: . . . . . . . . . . .. UW Calcu1us 211 Midterm 2 Nov 28 , 2007 SHOW ALL YOUR WORK. CALCULATORS ARE NOT ALLOWED AND ARE NOT NEEDED. FIVE PROBLEMS. GOOD LUCK, M.KALAFAT 1. (6 pts) The marginal profit function for a company producing a product is given by MP(:v) '= i1; + 1001;. f If the company’s profit from producing and selling 25 units is $2600, what is the profit ‘ function P(a:) ? 2. Compute the following integrals. (a)(3 pts) f fl d2: (b)(4 pts) f In (13 d3: 3. Compute the following integrals. (a)(3 pts) fooo 6—2tdt (b)(4pts) f '1 din, 562—533 > 4. Consider the functions = 4 — x2 , g(x)-= —-2x + 4. (a) (5 pts) Find the intersection points of their graphs. (b)(5 pts) Compute the area enclosed by the graphs of these functions. 5. Consider the differential equation 3% = 4a: — $y. (n)(5 pts) Find the general solution. (b)(5 pts) Find the solution corresponding to the initial condition y(0) = 3. ...
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211-kalafat-07faex02 - ID: . . . . . . . . . . .. UW...

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