91Ó°ÊÓ

Determine the appropriate functions. Express the cost \(C\) of insulating a cylindrical water tank of height \(2 \mathrm{m}\) as a function of its radius \(r,\) if the cost of insulation is 3 dollars per square meter.

In Exercises \(5-36,\) graph the given functions. $$L=3 e-e^{3}$$

Evaluate the given functions. The values of the independent variable are approximate. $$\text { Given } g(t)=\sqrt{t+1.0604}-6 t^{3}, \text { find } g(0.9261)$$

Use a graphing calculator to solve the given equations to the nearest 0.001 $$\sqrt{5 R+2}=3$$

Evaluate the given functions. The values of the independent variable are approximate. $$\text { Given } F(H)=\frac{2 H^{2}}{H+36.85}, \text { find } F(-84.466)$$

Determine the appropriate functions. A rocket burns up at the rate of 2 tons/min after falling out of orbit into the atmosphere. If the rocket weighed 5500 tons before reentry, express its weight \(w\) as a function of the time \(t,\) in minutes, of reentry.

Graph the given functions. $$D=v^{4}-4 v^{2}$$

Answer the given questions. Where are all points for which \(x y>0 ?\)

Express the cost \(C\) of insulating a cylindrical water tank of height \(2 \mathrm{m}\) as a function of its radius \(r,\) if the cost of insulation is \(\$ 3 \mathrm{per}\) square meter. A rocket burns up at the rate of 2 tons/min after falling out of orbit into the atmosphere. If the rocket weighed 5500 tons before reentry, express its weight \(w\) as a function of the time \(t,\) in minutes, of reentry.

Use a graphing calculator to solve the given equations to the nearest 0.001 $$\sqrt{x}+3 x=7$$