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Assignment 1-solutions

# Assignment 1-solutions - nanni(arn437 Assignment 1...

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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 10.0points Find the derivative of f when f ( x ) = 4 x cos 5 x. 1. f ( x ) = 4 cos 5 x + 20 x sin 4 x 2. f ( x ) = 4 cos 4 x - 4 x sin 5 x 3. f ( x ) = 20 cos 5 x + 5 x sin 5 x 4. f ( x ) = 20 cos 5 x - 4 x sin 5 x 5. f ( x ) = 4 cos 5 x - 20 x sin 5 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 ) cos 5 x + 4 x (cos 5 x ) = 4 cos 5 x - 20 x sin 5 x. 002 10.0points When are David’s 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 10.0points 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 - 6 x (2 x - 6) .

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

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