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6.3 Solids of Revolution Shell Method.notebook 1 April 14, 2016 6.3 Solids of Revolution Part 3: Shell Method

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Page 1: 6.3 - Solids of Revolution - Shell Method.notebook€¦ · 6.3 - Solids of Revolution - Shell Method.notebook Subject: SMART Board Interactive Whiteboard Notes Keywords: Notes,Whiteboard,Whiteboard

6.3 ­ Solids of Revolution ­ Shell Method.notebook

1

April 14, 2016

6.3 ­ Solids of RevolutionPart 3: Shell Method

Page 2: 6.3 - Solids of Revolution - Shell Method.notebook€¦ · 6.3 - Solids of Revolution - Shell Method.notebook Subject: SMART Board Interactive Whiteboard Notes Keywords: Notes,Whiteboard,Whiteboard

6.3 ­ Solids of Revolution ­ Shell Method.notebook

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April 14, 2016

Let us review what we have learned so far:

1) Disc Method

2) Washer Method

What do we notice?

The region is rotated around an axis perpendicular to the rectangles that comprise the disc or washer!Does the axis of revolution always have to be 

perpendicular?  What if it is parallel?

Page 3: 6.3 - Solids of Revolution - Shell Method.notebook€¦ · 6.3 - Solids of Revolution - Shell Method.notebook Subject: SMART Board Interactive Whiteboard Notes Keywords: Notes,Whiteboard,Whiteboard

6.3 ­ Solids of Revolution ­ Shell Method.notebook

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April 14, 2016

The Shell Method

Page 4: 6.3 - Solids of Revolution - Shell Method.notebook€¦ · 6.3 - Solids of Revolution - Shell Method.notebook Subject: SMART Board Interactive Whiteboard Notes Keywords: Notes,Whiteboard,Whiteboard

6.3 ­ Solids of Revolution ­ Shell Method.notebook

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April 14, 2016

Page 5: 6.3 - Solids of Revolution - Shell Method.notebook€¦ · 6.3 - Solids of Revolution - Shell Method.notebook Subject: SMART Board Interactive Whiteboard Notes Keywords: Notes,Whiteboard,Whiteboard

6.3 ­ Solids of Revolution ­ Shell Method.notebook

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April 14, 2016

Page 6: 6.3 - Solids of Revolution - Shell Method.notebook€¦ · 6.3 - Solids of Revolution - Shell Method.notebook Subject: SMART Board Interactive Whiteboard Notes Keywords: Notes,Whiteboard,Whiteboard

6.3 ­ Solids of Revolution ­ Shell Method.notebook

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April 14, 2016

Page 7: 6.3 - Solids of Revolution - Shell Method.notebook€¦ · 6.3 - Solids of Revolution - Shell Method.notebook Subject: SMART Board Interactive Whiteboard Notes Keywords: Notes,Whiteboard,Whiteboard

6.3 ­ Solids of Revolution ­ Shell Method.notebook

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April 14, 2016

Page 8: 6.3 - Solids of Revolution - Shell Method.notebook€¦ · 6.3 - Solids of Revolution - Shell Method.notebook Subject: SMART Board Interactive Whiteboard Notes Keywords: Notes,Whiteboard,Whiteboard

6.3 ­ Solids of Revolution ­ Shell Method.notebook

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April 14, 2016

Page 9: 6.3 - Solids of Revolution - Shell Method.notebook€¦ · 6.3 - Solids of Revolution - Shell Method.notebook Subject: SMART Board Interactive Whiteboard Notes Keywords: Notes,Whiteboard,Whiteboard

6.3 ­ Solids of Revolution ­ Shell Method.notebook

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April 14, 2016