Chapter 12.1, Problem 72E

(a)

To determine

The value of $\frac{dy}{dx}$ in terms of t and find the derivative when $t=4$ if $x=\sqrt{t},y=2t$.

(b)

To determine

To sketch: The curve with parametric equation $x=\sqrt{t},y=2t$ in the xy-plane along with its tangent at point $t=4$.