91Ó°ÊÓ

At higher altitudes, water boils at lower temperatures. This is why at high altitudes foods must be boiled for longer times \(-\) the lower boiling point imparts less heat to the food. At an altitude of \(h\) thousand feet above sea level, water boils at a temperature of \(B(h)=-1.8 h+212\) degrees Fahrenheit. Find the altitude at which water boils at \(98.6\) degrees Fahrenheit. (Your answer will show that at a high enough altitude, water boils at normal body temperature. This is why airplane cabins must be pressurized - at high enough altitudes one's blood would boil.)

Simplify. $$ \left[\left(x^{3}\right)^{3}\right]^{3} $$

A car traveling at speed \(v\) miles per hour on a dry road should be able to come to a full stop in a distance of $$D(v)=0.055 v^{2}+1.1 v \text { feet }$$ Find the stopping distance required for a car traveling at: $$ 40 \mathrm{mph} \text { . } $$

Simplify. $$ \frac{\left(w w^{2}\right)^{3}}{w^{3} w} $$

For each function, find and simplify \(\frac{f(x+h)-f(x)}{h}\). (Assume \(h \neq 0 .\) ) $$ f(x)=\frac{2}{x} $$

Simplify. $$ \frac{\left(w w^{3}\right)^{2}}{w^{3} w^{2}} $$

A car traveling at speed \(v\) miles per hour on a dry road should be able to come to a full stop in a distance of $$D(v)=0.055 v^{2}+1.1 v \text { feet }$$ Find the stopping distance required for a car traveling at: $$ 60 \mathrm{mph} \text { . } $$

For each function, find and simplify \(\frac{f(x+h)-f(x)}{h}\). (Assume \(h \neq 0 .\) ) $$ f(x)=\frac{3}{x} $$

Simplify. $$ \frac{\left(5 x y^{4}\right)^{2}}{25 x^{3} y^{3}} $$

The number of cells in a culture after \(t\) days is given by \(N(t)=200+50 t^{2}\). Find the size of the culture after: a. 2 days. b. 10 days.