Math141Mid2F11

Math141Mid2F11 - Math 141 Name: _ MIDTERM 2 PART 1...

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Math 141 Name: ________________________ MIDTERM 2 – PART 1 (CHAPTERS 2 AND 3) MATH 141 – FALL 2011 – KUNIYUKI 150 POINTS TOTAL: 37 FOR PART 1, AND 113 FOR PART 2 Show all work, simplify as appropriate, and use “good form and procedure” (as in class). Box in your final answers! No notes or books allowed. PART 1: SCIENTIFIC CALCULATORS ALLOWED! (37 POINTS TOTAL) Unless otherwise specified, give exact answers. Write units where appropriate in your answers. 1) A profit function for a statue-making company is given by: px () = ± 200 x 2 + 1200 x ± 200 (in dollars), where x is the number of statues produced, and x ± 0 . (9 points total) a) Use a formula we used in class to find the production level (i.e., the number of statues produced) that will lead to the maximum profit. b) What is the maximum profit?
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2) Consider ft () = t 3 ± 7 t 2 + 17 t ± 14 . Hint: One of the zeros is 2. (16 points) a) Write the two other complex zeros of f in simplest, standard form. Box in your answers! (13 points) b) Write the polynomial as a product of three linear factors over ± , the set of complex numbers. We basically want the Linear Factorization Theorem (LFT) Form of the factorization. (3 points)
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3) You deposit $7000 into an account that earns interest by continuous compounding at 4% per year. Assuming that there are no further deposits or
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Math141Mid2F11 - Math 141 Name: _ MIDTERM 2 PART 1...

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