If Jane is currently willing to trade 4 movie tickets for 1 basketball ticket, then she must like basketball better than movies. True or false? Explain.

The temperature at noon in Los Angeles on a summer day was $88^{\circ} \mathrm{F}$. During the day, the temperature varied from this by as much as $7.5^{\circ} \mathrm{F}$. Write and solve an absolute-value inequality to find the range of possible temperatures for that day.

Convert the polar coordinates to Cartesian coordinates. Give exact answers. $( \sqrt { 3 } , - 3 \pi / 4 )$

Suppose you are offered a job that lasts one month, and you are to be very well paid. Which of the following methods of payment is more profitable for you? (a) One million dollars at the end of the month (b) Two cents on the first day of the month, 4 cents on the second day, 8 cents on the third day, and, in general,

$$2 ^ { n }$$

cents on the nth day

Add the following in earlier Exercise: t1.insertMoney(500); What would you expect the following to return? Think carefully about this before you try it, and be sure to use the t2 variable this time. t2.getBalance() Did you get the answer you expected? Can you find a connection between the variables t1 and t2 that would explain what is happening?

Graph each quadratic function. State the domain and range.

$$g(x)=4x^2$$

Identify and graph the conic, and rewrite the equation in Cartesian coordinates.

$$r=\dfrac{4}{1+cos \theta}$$

A simple harmonic oscillator consists of a 100 -g mass attached to a spring whose force constant is $10^{4}$ dyne/cm. The mass is displaced 3 cm and released from rest. Calculate (a) the natural frequency $\nu_{0}$ and the period $\tau_{0},$ (b) the total energy, and (c) the maximum speed.

A harmonic oscillator is described by the function x(t) = (0.200 m) cos (0.350t). Find the oscillator's position.

A carousel at an amusement park rotates $3024^{\circ}$ per ride. How far would a rider seated 13 feet from the center of the carousel travel during the ride?

Explain how it is possible for certain microbes to survive and grow in the presence of cyanide, which would kill many other organisms.

What reagent solution might you use to separate the cations in the below-given mixture, that is, with one ion appearing in the solution and the other in a precipitate?
[Hint: Refer to Table 5.1, and consider water also to be a reagent.]

$$\text{Mixture : $\mathrm{AgNO}_3(\mathrm{~s})$ and $\mathrm{Cu}\left(\mathrm{NO}_3\right)_2(\mathrm{~s})$}$$

What group of microbes is characterized by cells that form filaments, reproduce by spores, and have peptidoglycan in their cell walls?

Show that the function is harmonic on the given set.

$$f(x, y)=e^{x} \sin y ; S \text { is the entire plane.}$$