Archimedes showed that the area of a parabolic arch is equal to 2 3 the product of the base and the height (see figure) (a) Graph the parabolic arch bounded by y 9 x and the x axis Use an appropriate integral to find the area A (b) Find the base and height of the arch and verify Archimedes ' formul...

Archimedes showed that the area of a parabolic arch is equal to 2/3 the product of the

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Archimedes showed that the area of a parabolic arch is equal to 2/3 the product of the base and the height (see figure).

(a) Graph the parabolic arch bounded by y = 9 - x² and the x-axis. Use an appropriate integral to find the area A.

(b) Find the base and height of the arch and verify Archimedes' formula.

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Calculus

ISBN: 9781285057095

10th Edition

Authors: Ron Larson, Bruce H. Edwards

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Archimedes showed that the area of a parabolic arch is equal to 2/3 the product of the

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