159E3-F2009

159E3-F2009 - MA 15900 1. Find the exact value of cos - 9 ....

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MA 15900 EXAM 3 FALL 2009 1 1. Find the exact value of cos 9 π 4 . 1) 3 1 2) 1 3 3) 1 1 4) 1 1 5) 2 6) 7) 2 2 8) 2 9) None of the above 2. Solve the following equation. log 3 ( x + 2) + log 3 x = log 3 15 1) x = 15 7 2) x = 1 7 3) x = 15 7 , 1 7 4) x = 3 2 5) x = 13 2 6) x = 3 2 , 13 2 7) x = 5 8) x = 3 9) x = 5,3 3. After an amount of a drug is injected into a body, the drug is then eliminated from the body over time. Suppose that for an initial dose of 20 milligrams, the amount A ( t ) in the body t hours later is given by A ( t ) = 20(0.7) t . After 3 hours have passed since the injection, what percentage of the initial dose will have been eliminated ? 1) 6.86% 2) 10% 3) 14% 4) 34.3% 5) 65.7% 6) 86% 7) 90% 8) 93.1% 9) None of the above
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MA 15900 EXAM 3 FALL 2009 2 4. Find a polynomial f of degree 3 that has zeros when x = 1,2,4 and f (3) = 8 . 1) f ( x ) = 4 35 x 3 4 7 x 2 8 35 x + 32 35 2) f ( x ) = 4 35 x 3 + 4 7 x 2 8 35 x 32 35 3) f ( x ) = 2 x 3 + 10 x 2 4 x 16 4) f ( x ) = 2 x 3 10 x 2 + 4 x + 16 5) f ( x ) = 2 x 3 + 10 x 2 + 4 x 16 6) f ( x ) = x 3 + 5 x 2 + 2 x 8 7) f ( x ) = x 3 5 x 2 + 2 x + 8 8) f ( x ) = x 3 + 5 x 2 2 x 8 9) f ( x ) = x 3 5 x 2 2 x + 8 5. Which of the following statements are true? I. As x π + , sin x 0 II. As x ( π / 4) , cos x 2 III. As x ( / 2) , tan x 1) I 2) II 3) III 4) I and II 5) I and III 6) II and III 7) I, II, and III 8) Cannot be determined 9) None of the above
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MA 15900 EXAM 3 FALL 2009 3 6. Given f ( x ) = x + 4 , find the domain of f 1 .
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159E3-F2009 - MA 15900 1. Find the exact value of cos - 9 ....

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