1-21 - January 21, 2005 Announcements First Midterm:...

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Unformatted text preview: January 21, 2005 Announcements First Midterm: Thursday, January 27, 2005 Sample midterms can be found at http://weber.math.washington.edu/m125 Today 6.2: Volumes (slicing method) 6.3: Volumes (shell method) 1 Definition (Slicing method): Let S be a solid that lies between x = a and x = b . If the area of the cross section of S in the plane P x , through x and per- pendicular to the x-axis, is A ( x ), where A is a continuous function, then the volume of S is V = Z b a A ( x ) dx Example: (Problem 12, 6.2) Find the volume of the solid obtained by rotat- ing the region bounded by y = x 2 and y = 4 about y = 4.- 6 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ....................... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . r y y =4 (2 , 4) y = x 2 x- 6 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ...................... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ...................... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ... ... ... ... ... ... ... ... ... ... ... ............................................................................ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ... . . . . . . . . . . . . . . . . . . . . . . . . . . . . ....
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This note was uploaded on 03/09/2008 for the course CALC 1,2,3 taught by Professor Varies during the Spring '08 term at Lehigh University .

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1-21 - January 21, 2005 Announcements First Midterm:...

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