4) For this question, first shade the region, then set up the area in a definite integral and simplify the integrand. Do not evaluate the definite integral (a) Find the area of the region bounded by y = 4 – x, y = ÷x² and x – axis 2

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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4) For this question, first shade the region, then set up the area in a definite integral and
simplify the integrand. Do not evaluate the definite integral
(a) Find the area of the region bounded by y = 4 – x, y = -x² and x –
axis
2
Transcribed Image Text:4) For this question, first shade the region, then set up the area in a definite integral and simplify the integrand. Do not evaluate the definite integral (a) Find the area of the region bounded by y = 4 – x, y = -x² and x – axis 2
Expert Solution
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shade the area between the curves y=4-x,\:\:\:\:y=\frac{1}{2}x^2,\:\:x-axis

Calculus homework question answer, step 1, image 1

 

as we can see from the graph, here intersecting points are 

(0,0),(2,2),(4,0)

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