Integration - Area Enclosed by the Curve and the X-Axis

Integration - Area Enclosed by the Curve and the X-Axis

TGM Original Questions

Sketch the curve \(y = 9 - x^2\).
Find the area bounded by the curve and the \(x\)-axis.

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Answer:(a) Downward parabola with roots \(x=\pm3\) and maximum \((0,9)\); (b) \(36\text{ units}^2\)

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