Chapter 10, Problem 5RE

(a)

To determine

To plot: The curve $x=\ln t,y=8\ln t^2;1<t<e^2$ with its positive orientation.

(b)

To determine

To obtain: The equation in x and y for the curve $x=\ln t,y=8\ln t^2;1<t<e^2$ by eliminating the parameter.

(c)

To determine

To identify: The curve described by the $x=\ln t,y=8\ln t^2;1<t<e^2$.

(d)

To determine

To evaluate: The value of $\frac{dy}{dx}$ for the curve $x=\ln t,y=8\ln t^2;1<t<e^2$ at point $\left(1,16\right)$.