Find the area between the curves y = x2 - 2 and y = 2. | Basic Mathematics 0

Basic Mathematics05 marksNumerical: area between curvesArea between curves

Find the area between the curves $y = x^2 - 2$ and $y = 2$ . [5]

Find the area between the curves $y = x^2 - 2$ and $y = 2$. [5]

Curve 1 (parabola): $y = x^2 - 2$ - Curve 2 (horizontal line): $y = 2$ Step 1: Find intersection points Set the two expressions for $y$ equal: $x^2 - 2 = 2$ $x^2 = 4$ $x = \pm 2$ Intersection points at $x = -2$ and $x = 2$ . Step 2: Determine the upper and lower curves Test at $x = 0$ : - P...

Curve 1 (parabola): $y = x^2 - 2$ - Curve 2 (horizontal line): $y = 2$ Step 1: Find intersection points Set the two expressions for $y$ equal: $$x^2 - 2 = 2$$ $$x^2 = 4$$ $$x = \pm 2$$ Intersection points at $x = -2$ and $x = 2$. Step 2: Determine the upper and lower curves Test at $x = 0$: - P...