2 and x = 6. 4. Find the area bounded by the parabola y² = 4x and the line y = 2x - 4. ² and Find the cod buthe arabolas 200 2⁹⁰

Calculus: Early Transcendentals
8th Edition
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Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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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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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.
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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