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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Question
Question number 4 only
![Solve the problems below using the following steps;
i.) Sketch the area,
ii.) Determine the boundaries a and b
,
iii.) Set up the definite integral,
iv.) Integrate
1. Find the area bounded by the curve y = x², the x-axis, the ordinates x = 1 and x = 3 .
2. Find the area bounded by the parabola x = 8+2y-y² and the y-axis and the lines y =
-1 and y = 3.
3. Find the area bounded by the curve y = x² - 7x + 6 and the x-axis and the ordinates x =
2 and x = 6.
4.
Find the area bounded by the parabola y² = 4x and the line y = 2x - 4.
5.
Find the area of the region enclosed by the parabolas y = x² and y = 2x - x².
6. Find the area of the region bounded by the curves y = x + 1, y = 9-x², x = -1, x = 2.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5105bf69-1fa8-495e-b0a4-32387d64c0e6%2Fc187f779-e536-4e33-8d9e-bd07395932de%2Fujb526j_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Solve the problems below using the following steps;
i.) Sketch the area,
ii.) Determine the boundaries a and b
,
iii.) Set up the definite integral,
iv.) Integrate
1. Find the area bounded by the curve y = x², the x-axis, the ordinates x = 1 and x = 3 .
2. Find the area bounded by the parabola x = 8+2y-y² and the y-axis and the lines y =
-1 and y = 3.
3. Find the area bounded by the curve y = x² - 7x + 6 and the x-axis and the ordinates x =
2 and x = 6.
4.
Find the area bounded by the parabola y² = 4x and the line y = 2x - 4.
5.
Find the area of the region enclosed by the parabolas y = x² and y = 2x - x².
6. Find the area of the region bounded by the curves y = x + 1, y = 9-x², x = -1, x = 2.
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