A6sol - Math 127 Fall 2010 Assignment 6 solutions Page 1...

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Math 127, Fall 2010 Assignment 6 solutions Page 1 . Answers to Part A problems: Question Answer # marks (total 10) 1 sec 2 x , sec x tan x 1 2 1 3 (1 + x + x 2 ) - 2 / 3 (1 + 2 x ) 1 3 1 - 3 x 2 2 x 1 / 2 ( x 2 + 1) 2 1 4 1 4 e x + 6 + 4 e - x (1 + e x ) 3 / 2 1 5 - y/x 1 6 x 2 (3 cos x - x sin x ) 1 7 sec 2 θ θ - tan θ θ 2 1 8 arctan(2 x ) + 2 x 1 + 4 x 2 1 9 1 3 x - 2 / 3 1 10 1 x sin( xy ) - y x 1 Note: Acronyms such as DPR (Derivative Product Rule), DQR (Derivative Quotient Rule), and DCR (Derivative Chain Rule) are used below to justify steps. It is good to explain which rules you are using, but it is often obvious which rules are being used, so we won’t be picky about that. Solutions to Part A problems: 1. 2.
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Math 127, Fall 2010
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Unformatted text preview: Assignment 6 solutions Page 2 3. 4. 5. Math 127, Fall 2010 Assignment 6 solutions Page 3 6. 7. 8. 9. Math 127, Fall 2010 Assignment 6 solutions Page 4 10. Solutions to Part B problems: 1. Math 127, Fall 2010 Assignment 6 solutions Page 5 2. Math 127, Fall 2010 Assignment 6 solutions Page 6 3. continued. .. Math 127, Fall 2010 Assignment 6 solutions Page 7 12 12 5. Acknowledgements: Prof. Bev Marshman created many of the problems and wrote many of the solutions....
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