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Unformatted text preview: rabbani (tar547) – Homework09 – Fouli – (58395) 1 This print-out should have 23 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 10.0 points If f is the function whose graph is given by 2 4 6 2 4 6 which of the following properties does f NOT have? 1. lim x → 4 + f ( x ) = lim x → 4- f ( x ) 2. local maximum at x = 4 3. lim x → 2 f ( x ) = 2 4. critical point at x = 2 5. f ′ ( x ) < 0 on ( − 1 , 2) 002 10.0 points Find all the critical numbers, x , of the function g ( x ) = 6 x + sin 6 x in (0 , ∞ ). 1. x = 3 n + 1 6 π, n = 0 , 1 , 2 , . . . 2. x = n + 1 6 π, n = 0 , 1 , 2 , . . . 3. x = 4 n + 1 6 π, n = 0 , 1 , 2 , . . . 4. x = 2 n + 1 6 π, n = 0 , 1 , 2 , . . . 5. x = n 6 π, n = 0 , 1 , 2 , . . . 003 10.0 points Find all the critical points of the function f ( x ) = 2 cos x − | x | on the interval ( − π, π ). 1. x = 0 2. x = − 2 π 3 , π 3 3. x = − π 6 , , π 6 4. x = − π 3 , 2 π 3 5. x = − 2 π 3 , , π 3 6. x = − 5 π 6 , , 5 π 6 7. x = − π 3 , , 2 π 3 8. x = − 5 π 6 , − π 6 , , π 6 , 5 π 6 004 10.0 points Determine the absolute maximum value of f ( x ) = 5 + 2 x x 2 + 6 on the interval [ − 1 , 2]. 1. abs max = 4 3 2. none of the other answers rabbani (tar547) – Homework09 – Fouli – (58395) 2 3. abs max = 1 4. abs max = 3 7 5. abs max = 9 10 005 10.0 points Find all the critical points of f when f ( x ) = x 4 / 5 ( x − 2) 2 ....
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This note was uploaded on 04/13/2010 for the course M 408 K taught by Professor Jouve during the Fall '08 term at University of Texas.

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problem9_pdf - rabbani (tar547) – Homework09 – Fouli...

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