Section 4.1-problems

# Section 4.1-problems - 10.0 points ±ind all the critical...

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to (aqt73) – Section 4.1 – isaacson – (55826) 1 This print-out should have 5 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 points oF f when f ( x ) = x x 2 + 25 . 1. x = 0 , 5 2. x = - 25 , 25 3. x = - 5 , 0 4. x = - 5 , 25 5. x = - 25 , 5 6. x = - 5 , 5 002 10.0 points ±ind all the critical points oF the Function f ( x ) = 2 sin x - | x | on the interval ( - π, π ). 1. x = 0 2. x = - π 3 , 0 , 2 π 3 3. x = - 2 π 3 , π 3 4. x = - 2 π 3 , 0 , π 3 5. x = - π 6 , 0 , π 6 6. x = - 5 π 6 , - π 6 , 0 , π 6 , 5 π 6 7. x = - 5 π 6 , 0 , 5 π 6 8. x = - π 3 , 2 π 3 003 10.0 points ±ind the absolute minimum value oF f on the interval [0 , 3] when f ( x ) = 1 - 4 x + x 2 . 1. abs. min. value = 2 2. abs. min. value = - 4 3. abs. min. value = - 3 4. abs. min. value = - 2 5. abs. min. value = 1 004

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Unformatted text preview: 10.0 points ±ind all the critical points oF f ( x ) = cos 2 x-sin x in (0 , 2 π ). 1. x = π 3 , π, 5 π 3 2. x = π 6 , π 2 , 5 π 6 , 3 π 2 3. x = π 2 , 7 π 6 , 3 π 2 , 11 π 6 4. x = π 6 , π, 11 π 6 5. x = π 2 , 2 π 3 , 4 π 3 , 3 π 2 6. x = 2 π 3 , π, 4 π 3 to (aqt73) – Section 4.1 – isaacson – (55826) 2 005 10.0 points Find the absolute minimum value of f ( x ) = sin 2 x + 3 cos 2 x on [-π, π ]. 1. abs min value = 2 2. abs min value = 3 3. none of these 4. abs min value = 4 5. abs min value = 1...
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## This note was uploaded on 06/14/2011 for the course MATH 305G taught by Professor Cathy during the Spring '11 term at University of Texas at Austin.

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Section 4.1-problems - 10.0 points ±ind all the critical...

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