Extreme Values and Critical Points-problems-1

Extreme Values and Critical Points-problems-1 - handa...

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Unformatted text preview: handa (nh5757) – Extreme Values and Critical Points – bormashenko – (54880) 1 This print-out should have 20 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 (part 1 of 2) 10.0 points Consider f ( x ) =- x 2 + 3 x on [0,3]. a) What is its maximum value? 002 (part 2 of 2) 10.0 points b) What is its minimum value? 003 10.0 points Find the absolute maximum of f ( x ) = 4 + 3(4- x ) e x − 3 on the interval [0 , 4]. 1. absolute max = 9 2. absolute max = 4 3. absolute max = 8 4. absolute max = 7 5. absolute max = 4 . 59 004 10.0 points If f is the function defined on [- 4 , 4] by f ( x ) = x + | x | - 4 , which of the following properties does f have? A. Absolute maximum at x = 0 . B. Continuous at x = 0 . 1. A only 2. both of them 3. neither of them 4. B only 005 10.0 points Let f be the function given by f ( x ) = | x | . Which of the following statements about f are true? I) f is continuous at x = 0. II) f is differentiable at x = 0. III) f has an absolute minimum at x = 0....
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This note was uploaded on 11/21/2011 for the course M 408N taught by Professor Gualdini during the Spring '10 term at University of Texas at Austin.

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Extreme Values and Critical Points-problems-1 - handa...

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