Problems 9 (10-20)

# Problems 9 (10-20) - mao(tm23477 Hw 09 gualdani(57180 This...

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mao (tm23477) – Hw 09 – gualdani – (57180) 1 This print-out should have 21 questions. Multiple-choice questions may continue on the next column or page – fnd all choices beFore answering. 001 10.0 points ±ind all the critical values oF f ( x ) = x (1 x ) 2 / 5 . 1. x = 1 2. x = 1 , 5 7 3. x = 1 , 5 7 4. x = 1 , 5 7 5. x = 1 , 5 7 6. x = 1 7. x = 5 7 8. x = 5 7 002 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. f ( x ) > 0 on (4 , 7) 2. local maximum at x = 4 3. lim x 4 f ( x ) = 5 4. lim x 2 + f ( x ) = lim x 2 - f ( x ) 5. critical point at x = 2 003 10.0 points ±ind all the critical points oF f when f ( x ) = x x 2 + 16 . 1. x = 0 , 4 2. x = 4 , 16 3. x = 16 , 4 4. x = 4 , 0 5. x = 4 , 4 6. x = 16 , 16 004 (part 1 oF 3) 10.0 points Let f be the Function defned by f ( x ) = x r 1 x 2 2 on [ 1 , 1]. (i) ±ind the derivative oF f . 1. f ( x ) = 1 x 2 2 x 2 2. f ( x ) = 1 2 x 2 1 x 2

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mao (tm23477) – Hw 09 – gualdani – (57180) 2 3. f ( x ) = r 1 x 2 4. f ( x ) = 2 x r 1 x 2 5. f ( x ) = 2 x 1 x 2 6. f ( x ) = 2 x 2 1 x 2 005 (part 2 of 3) 10.0 points (ii) Find all the critical points of f in ( 1 , 1). 1.
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Problems 9 (10-20) - mao(tm23477 Hw 09 gualdani(57180 This...

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