Extreme Values and Critical Points-problems-1

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

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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 – fnd 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 ±ind 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 defned 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 . 1. Aonly 2. both oF them 3. neither oF them 4. Bon ly 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 di²erentiable at x III) f has an absolute minimum at x 1. II and III only 2. II only 3.
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Extreme Values and Critical Points-problems-1 - handa...

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