Find the area of the region bounded by 2x=y^2 and x+2=y^2 X= e3. The region bounded by 2x = y² and x+2= y² .2.

Answered: The region bounded by 2x = y and x+2=…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.5: Graphs Of Functions

Problem 59E

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Find the area of the region bounded by 2x=y^2 and x+2=y^2

X= e
3. The region bounded by 2x = y² and x+2= y² .
2.

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Step 1

$g i v e n 2 x = y^{2} x + 2 = y^{2} l e t u s c a l c u l a t e i n t e r s e c t i o n p o i n t o f t h e s e t w o c u r v e s 2 x = x + 2 x = 2 w h e n x = 2 y^{2} = 2 x 2 = 4 y = - 2, 2 t h e r e f o r e i n t e r s e c t i o n p o i n t s w i l l b e (2, 2) a n d (2, - 2) v e r t e x o f p a r a b o l a 2 x = y^{2} i s (0, 0) v e r t e x o f p a r a b o l a x + 2 = y^{2} i s (- 2, 0)$

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