# 1-24 - Reading from the book Review sections 4.10 5.1-5.5...

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January 24, 2005 Reading from the book: Review sections 4.10, 5.1-5.5, 6.1-6.3. Sections 6.4 and 6.5. Announcements No quiz on Tuesday, January 25. One sheet (8 1 2 × 11) of handwritten notes (one sided) allowed during the midterm. Sections covered by the midterm: 4.10, 5.1-5.5, 6.1- 6.3. Graphing calculators are NOT allowed on the midterm. Homework #3 (Week 3 Problems) will be collected on Thursday, January 27th. Today Volumes (summary). § 6.4 Work. 1

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To compute the volume of a solid S of revolution 1. Sketch the region to be rotated and indi- cate the axis of revolution 2. Decide which method to use (slices or shells) 3. Determine whether you have an integral with respect to x or with respect to y . 4. Express either the area of the cross sec- tion (disk or washer) or the area of the cylindrical shell in terms of the variable of integration. 5. Determine the bounds of integration. 6. Write down the correct definite integral 7. Evaluate the integral to find the volume.
To keep in mind when computing the volume of a

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• Spring '08
• varies
• Calculus, WI, Euclidean geometry

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