Chapt7PracExam

Chapt7PracExam - Date Name Math 604 Chapter 7 Practice Exam...

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Date:___________________ Name:____________________ Math 604 – Chapter 7 – Practice Exam 1. Use the region S bounded by the positive x-axis, the positive y-axis and the curve y = cos x to answer each of the following questions. 1 0.5 1 2 S y=cos(x) a) Compute the area of region S. b) Compute the volume of rotation when the region S is revolved about the x-axis. c) Compute the volume of rotation when the region S is revolved about the y-axis. d) Compute the volume of rotation when the region S is revolved about the line y= 1. (Washer Method or Shell Method) e) Show the equation (but do not solve) you would use to determine the line y= k so that the volume generated by revolving S about y = k is twice the volume generated when revolving S about the x- axis (part a).

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Date:___________________ Name:____________________ f) Compute the perimeter of region S g) Compute the volume of the solid whose base is S and whose cross- sections perpendicular to the x-axis are rectangles whose height is 5 times
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This note was uploaded on 02/16/2012 for the course CALCULUS 0064 taught by Professor Waldron during the Fall '10 term at Broward College.

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Chapt7PracExam - Date Name Math 604 Chapter 7 Practice Exam...

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