Chapter 3.4, Problem 40ES

(a)

To determine

To calculate:The rate of change of distance between $P$ and the point $\left(2,0\right)$ , where the point $P$ is moving along the curve $y=\sqrt{x}$ and $x$ is increasing at the rate of $4\text{ units/sec}$ and $x=3$ .

(b)

To determine

To calculate:The rate of change of angle of inclination between point P and the point $\left(2,0\right)$ , where the point $P$ is moving along the curve $y=\sqrt{x}$ and $x$ is increasing at the rate of $4\text{ units/sec}$ and $x=3$ .