(a) Find ALL of the points where the following curves intersect; (r- 3)2 2 4r 2 = 1+ Y3 = 6-r (b) Using a well proportioned and neatly drawn graph of these three curves, identify the area which lies above y1, and below y2 and below y3- (c) Using integral calculus, calculate the area defined in part (b) of this question.

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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1. (a) Find ALL of the points where the following curves intersect;
(r - 3)2
4.x
Y2 = 1+
5
Y3 = 6-r
(b) Using a well proportioned and neatly drawn graph of these
three curves, identify the area which lies above y1, and below y2
and below y3-
(c) Using integral calculus, calculate the area defined in part (b) of
this question.
Transcribed Image Text:1. (a) Find ALL of the points where the following curves intersect; (r - 3)2 4.x Y2 = 1+ 5 Y3 = 6-r (b) Using a well proportioned and neatly drawn graph of these three curves, identify the area which lies above y1, and below y2 and below y3- (c) Using integral calculus, calculate the area defined in part (b) of this question.
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