Column Scroll Problem: The spiral design at the top of Ionic columns in ancient Greek

Calculus: Concepts and Applications | 2nd Edition | ISBN: 9781559536547 | Authors: Paul A. Foerster

Problem 17 Chapter 8-7

Calculus: Concepts and Applications | 2nd Edition

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Calculus: Concepts and Applications | 2nd Edition | ISBN: 9781559536547 | Authors: Paul A. Foerster

Calculus: Concepts and Applications | 2nd Edition

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Problem 17

Column Scroll Problem: The spiral design at the top of Ionic columns in ancient Greek architecture is an example of a lituus (pronounced lit -you-us). Plot the lituus r = 5 1/2 traced out as increases from 0 to 6 . This column at Villa Barbaro in Maser, Italy, was built in the 1500s. a. Find the length from = /2 to = 6 .b. Let = 1 radian. Sketch an arc of a circlecentered at the pole, from the polar axis tothe point (r, 1) on the lituus. Find the areaof the sector of the circle corresponding tothis arc. Repeat the calculation for = 2 and= 3. What seems to be true about theseareas?

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Chapter 8-7, Problem 17 is Solved
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Textbook: Calculus: Concepts and Applications
Edition: 2
Author: Paul A. Foerster
ISBN: 9781559536547

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