91Ó°ÊÓ

Graph the indicated functions. The power \(P\) (in \(\mathrm{W} / \mathrm{h}\) ) that a certain windmill generates is given by \(P=0.004 v^{3},\) where \(v\) is the wind speed (in \(\mathrm{km} / \mathrm{h}\) ). Plot the graph of \(P\) vs. \(v\).

Solve the given problems. The pressure loss \(L\) (in \(1 \mathrm{b} / \mathrm{in.}^{2}\) ) of a fire hose as a function of its flow rate \(Q\) (in 100 gal/min) is \(L=1.2 Q^{2}+1.5 Q .\) Find \(L\) for \(Q=450 \mathrm{gal} / \mathrm{min}\)

In Exercises \(37-66,\) graph the indicated functions. The power \(P\) (in \(\mathrm{W} / \mathrm{h}\) ) that a certain windmill generates is given by \(P=0.004 v^{3},\) where \(v\) is the wind speed (in \(\mathrm{km} / \mathrm{h}\) ). Plot the graph of \(P\) vs. \(v\)

A function and how it is to be shifted is given. Find the shifted function and then display the given function and the shifted function on the same screen of a graphing calculator. y=\sqrt{2 x+1}, \text { up } 1, \text { left } 1

Solve the given problems. The sales tax in a city is \(7.00 \% .\) The price tag on an item is \(D\) dollars. If the store has a \(19 \%\) off price tag sale, express the total cost of the item as a function of \(D\)

In Exercises \(37-66,\) graph the indicated functions. An astronaut weighs \(750 \mathrm{N}\) at sea level. The astronaut's weigh at an altitude of \(x\) km above sea level is given be \(w=750\left(\frac{6400}{6400+x}\right)^{2} .\) Plot \(w\) as a function of \(x\) for \(x=0\) \(x=8000 \mathrm{km}\)

Graph the indicated functions. An astronaut weighs \(750 \mathrm{N}\) at sea level. The astronaut's weight at an altitude of \(x\) km above sea level is given by\(w=750\left(\frac{6400}{6400+x}\right)^{2} .\) Plot \(w\) as a function of \(x\) for \(x=0\) to \(x=8000 \mathrm{km}\).

A function and how it is to be shifted is given. Find the shifted function and then display the given function and the shifted function on the same screen of a graphing calculator. y=\sqrt{x^{2}+4}, \text { down } 2, \text { right } 2

Solve the given problems. A rectangular piece of cardboard twice as long as wide is to be made into an open box by cutting 2 -in. squares from each corner and bending up the sides. (a) Express the volume \(V\) of the box as a function of the width \(w\) of the piece of cardboard. (b) Find the domain of the function.

Solve the given problems. A motorist travels at \(55 \mathrm{km} / \mathrm{h}\) for \(t\) hours and then at \(65 \mathrm{km} / \mathrm{h}\) for \(t+1\) hours. Express the distance \(d\) traveled as a function of \(t\)