Explanation Given: The figure is: The functions are y = 2 − x 2 and y = x . Formula used: Area of the region A = ∫ a b [ ( Upper function ) − ( Lower function ) ] d x Where a ≤ x ≤ b Calculation: The functions are y = 2 − x 2 and y = x . The graphs of y = 2 − x 2 and y = x intersect where 2 − x 2 = x x 2 + x − 2 = 0 Find the factors of the above equation. x 2 + 2 x − x − 2 = 0 x ( x + 2 ) − 1 ( x + 2 ) = 0 ( x + 2 ) ( x − 1 ) = 0 That is. ( x + 2 ) = 0 or ( x − 1 ) = 0 x = − 2 or x = 1 Thus, the enclosed area lies over the interval [ − 2 , 1 ] . The region enclosed by the graphs lies above y = 2 − x 2 and below y = x over the interval [ − 2 , 1 ] . Now, find the area...

4th Edition

ISBN: 9781319050733

Author: Rogawski

Publisher: MAC HIGHER

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Chapter 6, Problem 2CRE

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Compute the area of the region in Figure 1(B) enclosed by $y = 2 - x^{2}$ and $y = x$ .

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Chapter 6, Problem 1CRE

Chapter 6, Problem 3CRE

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Chapter 6 Solutions

CALCULUS (CLOTH)

Ch. 6.1 - Prob. 1PQ Ch. 6.1 - Prob. 2PQ Ch. 6.1 - Prob. 3PQ Ch. 6.1 - Prob. 4PQ Ch. 6.1 - Prob. 5PQ Ch. 6.1 - Prob. 6PQ Ch. 6.1 - Prob. 1E Ch. 6.1 - Prob. 2E Ch. 6.1 - Prob. 3E Ch. 6.1 - Prob. 4E

Ch. 6.1 - Prob. 5E Ch. 6.1 - Prob. 6E Ch. 6.1 - Prob. 7E Ch. 6.1 - Prob. 8E Ch. 6.1 - Prob. 9E Ch. 6.1 - Prob. 10E Ch. 6.1 - Prob. 11E Ch. 6.1 - Prob. 12E Ch. 6.1 - Prob. 13E Ch. 6.1 - Prob. 14E Ch. 6.1 - Prob. 15E Ch. 6.1 - Prob. 16E Ch. 6.1 - Prob. 17E Ch. 6.1 - Prob. 18E Ch. 6.1 - Prob. 19E Ch. 6.1 - Prob. 20E Ch. 6.1 - Prob. 21E Ch. 6.1 - Prob. 22E Ch. 6.1 - Prob. 23E Ch. 6.1 - Prob. 24E Ch. 6.1 - Prob. 25E Ch. 6.1 - Prob. 26E Ch. 6.1 - Prob. 27E Ch. 6.1 - Prob. 28E Ch. 6.1 - Prob. 29E Ch. 6.1 - Prob. 30E Ch. 6.1 - Prob. 31E Ch. 6.1 - Prob. 32E Ch. 6.1 - Prob. 33E Ch. 6.1 - Prob. 34E Ch. 6.1 - Prob. 35E Ch. 6.1 - Prob. 36E Ch. 6.1 - Prob. 37E Ch. 6.1 - Prob. 38E Ch. 6.1 - Prob. 39E Ch. 6.1 - Prob. 40E Ch. 6.1 - Prob. 41E Ch. 6.1 - Prob. 42E Ch. 6.1 - Prob. 43E Ch. 6.1 - Prob. 44E Ch. 6.1 - Prob. 45E Ch. 6.1 - Prob. 46E Ch. 6.1 - Prob. 47E Ch. 6.1 - Prob. 48E Ch. 6.1 - Prob. 49E Ch. 6.1 - Prob. 50E Ch. 6.1 - Prob. 51E Ch. 6.1 - Prob. 52E Ch. 6.1 - Prob. 53E Ch. 6.1 - Prob. 54E Ch. 6.1 - 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Compute the area of the region in Figure 1(B) enclosed by y = 2 − x 2 and y = x .

Solution Summary: The author calculates the area of the region in Figure 1(B) enclosed by the functions y = 2 x 2

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Compute the area of the region in Figure 1(B) enclosed by $y = 2 - x^{2}$ and $y = x$ .

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Chapter 6 Solutions

Compute the area of the region in Figure 1(B) enclosed by y = 2 − x 2 and y = x .

Solution Summary: The author calculates the area of the region in Figure 1(B) enclosed by the functions y = 2 x 2

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Compute the area of the region in Figure 1(B) enclosed by y=2−x2 and y=x.

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Chapter 6 Solutions

Compute the area of the region in Figure 1(B) enclosed by $y = 2 - x^{2}$ and $y = x$ .