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q151q5wi

# q151q5wi - Answer 2(4 points ²ind d 2 dx 2 ln e x e-x...

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Name: MATH 151 Assignment 5 Autumn 2009 Time : Due at start of class on 2/17/2010 Max : 15 Instructions : This assignment has 5 questions on 2 pages. Write your final answer to each question in the space provided under that question. Appropriate work using algebra and/or calculus must be shown . Inadequately supported answers, especially if based soley on graphing calculators, may not be given credit. Unless otherwise specified, give the exact values of all answers, using fractions, radicals, e and π as needed, and not decimal approximations . 1 (2 points ). The side of a cube is reported as 20 ± 0 . 05 mm. Use di ff erentials to estimate the percentange error in the volume of the cube.

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Unformatted text preview: Answer : 2 (4 points ). ²ind d 2 dx 2 ln( e x + e-x ). Simplify your answer as much as possible. Answer : (over) Typeset using A M S-T E X. MATH 151 Assignment 5, p . 2 Autumn 2009 3 (3 points ). Use logarithmic diferentiation to Fnd d dx (1-sin x ) 3 x . Answer : 4 (2 points ). ±ind d dt ln 3 (1 + sin 2 t ). Answer : 5 (4 points ). How ²ast is the length o² the shadow o² a 200 ²oot tall clock tower decreasing when the angle o² the elevation o² the Sun is 30 ◦ and is increasing at 0 . 1 ◦ per minute. Answer : end...
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q151q5wi - Answer 2(4 points ²ind d 2 dx 2 ln e x e-x...

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