91Ó°ÊÓ

Answer the given questions. What is the \(x\)-coordinate of all points on the \(y\) -axis?

Answer the given questions. What is the \(y\)-coordinate of all points on the \(x\)-axis?

Use the following table, which gives the fraction (as a decimal) of the total heating load of a certain system that will be supplied by a solar collector of area \(A\) (in \(\mathrm{m}^{2}\) ). Find the indicated values by linear interpolation. $$\begin{array}{l|c|c|c|c|c|c|c}f & 0.22 & 0.30 & 0.37 & 0.44 & 0.50 & 0.56 & 0.61 \\\\\hline A\left(\mathrm{m}^{2}\right) & 20 & 30 & 40 & 50 & 60 & 70 & 80\end{array}$$. For \(f=0.27,\) find \(A\).

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

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 \(\$ 3\) per square meter.

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

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

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 \(\min\) utes, of reentry.

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

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