MATH%20150-F2012-Week09HW

MATH%20150-F2012-Week09HW - MATH 150 Calculus I with Review...

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MATH 150 - Calculus I with Review - Fall 2012 Week 9 Homework Questions Term Test Date - Monday 05 November 2012 Required Questions Section 3.9: # 5, 11, 13, 15, 23, 25, 27, 31, 35, 41, 43 Section 3.10: # 3, 7, 11, 13, 15, 23, 25, 27, 35, 37, 43, 44 Section 3.11: # 3, 5, 9, 15, 23a-d, 33, 35, 37, 47 Section 4.1: # 3, 5, 9, 11, 13, 21, 27, 33, 37, 39, 41, 45 Instructor Questions 1. More related rates: A cylindrical tank of radius R and length L lying horizontally (as in the figure below) is filled with oil to a height of h . (a) Show that the volume V ( h ) of the oil in the tank is V ( h ) = L ± R 2 cos - 1 ± 1 - h R ² - ( R - h ) 2 hR - h 2 ² . (b) Show that d V d t = 2 L p h (2 R - h ) d h d t . Note that h = h ( t ) here. (c) Suppose that R = 1 . 5 m and L = 10 m and that the tank is
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MATH%20150-F2012-Week09HW - MATH 150 Calculus I with Review...

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