Find the area of the region enclosed by y = x² – 2x and y =3.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter14: Discrete Dynamical Systems
Section14.3: Determining Stability
Problem 1YT
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hey, can someone help me with this please? thanks!
- Find the area of the region enclosed by y = x² – 2x and y=3.
Transcribed Image Text:- Find the area of the region enclosed by y = x² – 2x and y=3.
y = x + 2 _meets y = x + x – 2 where
x2 +x – 2 = x +2
x2 – 4 = 0
(x+2)(x – 2) = 0
x =±2
y
Area = f*, [y, – y,] dx
y = x² + x – 2
= S, (x + 2) – (x² +x – 2)] dæ
= S²2 (4 – 2²) dæ
2
2372
4x
3
-2
-2
= (8 – ) - (-8+ )
%3D
y = x + 2
= 10% units?
2.
Transcribed Image Text:y = x + 2 _meets y = x + x – 2 where x2 +x – 2 = x +2 x2 – 4 = 0 (x+2)(x – 2) = 0 x =±2 y Area = f*, [y, – y,] dx y = x² + x – 2 = S, (x + 2) – (x² +x – 2)] dæ = S²2 (4 – 2²) dæ 2 2372 4x 3 -2 -2 = (8 – ) - (-8+ ) %3D y = x + 2 = 10% units? 2.
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,