prob7 - Math 151 Spring 2008 Problem Set # 7: Volumes,...

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Math 151 Spring 2008 Problem Set # 7: Volumes, Length and Surface Area Starred Problems are due on Friday, March 7 Volumes by Slices or Cylindrical Shells In problems 1-4, use the method of disks to determine the volume of the solid that is obtained by revolving the region between the graph of z = f ( x ) and the given interval about the x -axis. 1*. f ( x )= e x ;[ ln (2) , ln (2)] 2. f ( x )=sin ³ x 4 ´ ;[2 π, 3 π ] 3. f ( x )= r x x 2 +4 ; h p e 2 4 , p e 3 4 i 4*. f ( x )= r 1 x 2 +1 , [ 1 , 1] . In problems 5 and 6, use the method of washers to determine the volume of the solid that is obtained by revolving the region between the graphs of z = f ( x ) , z = g ( x ) , x = a and x = b about the x -axis. 5. f ( x )= 1 x ,g ( x )= 1 x 2 ,x =1 ,x =2 . 6*. f ( x )=s in( x ) ,g ( x )=cos( x ) ,x = π/ 4 ,x = π/ 2 In problems 7-10, use the method of cylindrical shells to determine the volume of the solid
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prob7 - Math 151 Spring 2008 Problem Set # 7: Volumes,...

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