3) Show that the area of the shaded parabolic arch y = (x-a)(b-x)in the figure is equal to four-thirds the area o fthe triangle shown. a + b 2 Hint: = Area under the graph of f (x) between x= a, and x =b b) Area of the triangle = 1 -(base)(height)

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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3) Show that the area of the shaded parabolic arch y= (x-a)(b-x)in the figure is equal to
four-thirds the area o fthe triangle shown.
a + b
2
Hint:
b
Area under the graph of f (x) between x = a, and x = b
%3D
1
b) Area of the triangle = (base)(height)
2
Transcribed Image Text:3) Show that the area of the shaded parabolic arch y= (x-a)(b-x)in the figure is equal to four-thirds the area o fthe triangle shown. a + b 2 Hint: b Area under the graph of f (x) between x = a, and x = b %3D 1 b) Area of the triangle = (base)(height) 2
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