Assignment 1-solutions

Assignment 1-solutions - nanni (arn437) Assignment 1 guntel...

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Unformatted text preview: nanni (arn437) Assignment 1 guntel (54940) 1 This print-out should have 13 questions. Multiple-choice questions may continue on the next column or page find all choices before answering. 001 10.0 points Find the derivative of f when f ( x ) = 4 x cos5 x . 1. f ( x ) = 4 cos5 x + 20 x sin4 x 2. f ( x ) = 4 cos4 x- 4 x sin5 x 3. f ( x ) = 20 cos5 x + 5 x sin5 x 4. f ( x ) = 20 cos5 x- 4 x sin5 x 5. f ( x ) = 4 cos5 x- 20 x sin5 x correct Explanation: Using the formulas for the derivatives of sine and cosine together with the Chain Rule we see that f ( x ) = (4 x ) cos5 x + 4 x (cos5 x ) = 4 cos5 x- 20 x sin5 x . 002 10.0 points When are Davids office hours? 1. TTh 5-6 2. TTh 8-9 3. MWF 8-9 4. MWF 10-11 5. TTh 2-3 6. T 10-11, Th 12-2 correct Explanation: See syllabus. 003 10.0 points Find f ( x ) when f ( x ) = radicalbig x 2- 6 x . 1. f ( x ) = 2( x- 3) radicalbig x 2- 6 x 2. f ( x ) = 1 2 ( x- 3) radicalbig x 2- 6 x 3. f ( x ) = x- 3 x 2- 6 x correct 4. f ( x ) = x- 3 2 x 2- 6 x 5. f ( x ) = ( x- 3) radicalbig x 2- 6 x 6. f ( x ) = 2( x- 3) x 2- 6 x Explanation: By the Chain Rule, f ( x ) = 1 2 x 2...
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This note was uploaded on 09/19/2011 for the course M 408 taught by Professor Hodges during the Fall '08 term at University of Texas at Austin.

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Assignment 1-solutions - nanni (arn437) Assignment 1 guntel...

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