The diagram below shows the graph of $y-x^2+1$. Points $P$ and $Q$ lie on the $x$-axis such

Question

The diagram below shows the graph of $y-x^2+1$. Points $P$ and $Q$ lie on the $x$-axis such that their coordinates are $(-3,0)$ and $(q,0)$ respectively. $R$ is a point on the curve such that $QR$ is parallel to the $y$-axis. If $q$ is increasing at a rate of $2$ units per second, calculate the rate at which the area of $\Delta PQR$ is increasing at the instant when $q$ is $4$ units.

Accepted Answer

$73\text{ units}^2\text{ s}^{-1}$

Differentiation

Differentiation

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