Chapter 10.3, Problem 92E

(a)

To determine

To graph:

Using graphing utility to graph on the curve on the interval $-3\le t\le 3$

(b)

To determine

To calculate: $\frac{dy}{dx}$ and $\frac{d^{2}y}{d{x}^2}$

(c)

To determine

To calculate: Equation of tangent line at the point $\left(\sqrt{3},\frac{8}{3}\right)$

(d)

To determine

To calculate: Length of curve on the interval $-3\le t\le 3$

(e)

To determine

To calculate: Area of surface generated by revolving the curve about $x-$ axis