Archimedes showed that the area of a parabolic arch is equal to the product of the base
Chapter 4, Problem 7(choose chapter or problem)
Archimedes showed that the area of a parabolic arch is equal to the product of the base and the height (see figure). (a) Graph the parabolic arch bounded by and the Use an appropriate integral to find the area (b) Find the base and height of the arch and verify Archimedes formula. (c) Prove Archimedes formula for a general parabola. 2yx
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