Question # 8. Find the area of the region enclosed by the curves $y = 2\sqrt{x}$ and $y=2x$ $y=2\sqrt{x}$ $2x$ --- OCR End ---
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We set the two equations equal to each other: $2\sqrt{x} = 2x$ $\sqrt{x} = x$ Squaring both sides, we get: $x = x^2$ $x^2 - x = 0$ $x(x-1) = 0$ So, $x = 0$ or $x = 1$. The points of intersection are $(0,0)$ and $(1,2)$. Show more…
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