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Magazine Problem 1
The population of a city, \(P\), in millions, is a function of \(t,\) the number of years since \(1970,\) so \(P=f(t) .\) Explain the meaning of the statement \(f(35)=12\) in terms of the population of this city.
Problem 1
Draw the angle using a ray through the origin, and determine whether the sine, cosine, and tangent of that angle are positive, negative, zero, or undefined. $$\frac{3 \pi}{2}$$
Problem 1
the function continuous on the interval? $$\frac{1}{x-2} \text { on }[-1,1]$$
Problem 1
Simplify the expressions completely. $$e^{\ln (1 / 2)}$$
Problem 1
For Exercises \(1-2,\) what happens to the value of the function as \(x \rightarrow \infty\) and as \(x \rightarrow-\infty ?\) $$y=0.25 x^{3}+3$$
Problem 2
Draw the angle using a ray through the origin, and determine whether the sine, cosine, and tangent of that angle are positive, negative, zero, or undefined. $$2 \pi$$
Problem 2
The pollutant PCB (polychlorinated biphenyl) affects the thickness of pelican eggs. Thinking of the thickness, \(T\) of the eggs, in \(\mathrm{mm}\), as a function of the concentration, \(P\) of \(\mathrm{PCBs}\) in ppm (parts per million), we have \(T=f(P)\) Explain the meaning of \(f(200)\) in terms of thickness of pelican eggs and concentration of PCBs.
Problem 2
Simplify the expressions completely. $$10^{\log (A B)}$$
Problem 2
For Exercises \(1-2,\) what happens to the value of the function as \(x \rightarrow \infty\) and as \(x \rightarrow-\infty ?\) $$y=2 \cdot 10^{4 x}$$
Problem 3
Simplify the expressions completely. $$5 e^{\ln \left(A^{2}\right)}$$
