thapyaehaymann2002 thapyaehaymann2002
  • 15-06-2020
  • Mathematics
contestada

Find the area of the region bounded by the graphs of the equations
2y^2 = x + 4 and x = y^2

Respuesta :

Bebong Bebong
  • 15-06-2020

Answer:

Step-by-step explanation:

[tex]2y^2 = x + 4 \rightarrow x = 2y^2 -4[/tex]

[tex]x=y^2[/tex]

intersection points

[tex]2y^2 - 4 = y^2[/tex]

[tex]y^2 =4[/tex]

[tex]y = \pm 2 \rightarrow (4, -2)~ and~ (4, 2)[/tex]

[tex]\int\limits^2_{-2} (y^2-(2y^2-4)} \, dy[/tex]

You finish it by yourself

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