Use a graphing calculator to graph the rational function

$$f ( x ) = \frac { 3 x + 2 } { x }$$

. From the graph, determine the equations of the horizontal and vertical asymptotes and the domain and range.

Describe the functional role of each of the following defence mechanisms: (a) Phagocytosis by white blood cells: (b) Antimicrobial substances: (c) Antibody production:

If $X_1,X_2, . . .,X_n$ is a random sample from a beta distribution with parameters $\alpha = \beta = \theta > 0,$ find a best critical region for testing $H _ { 0 } : \theta = 1$ against $H _ { 1 } : \theta = 2$

What is the thermal energy associated with $5.6 \times 10 ^ { 18 }$ nitrogen molecules, $\mathrm { N } _ { 2 }$, at $100 ^ { \circ } \mathrm { F }$? Assume the nitrogen can be treated as an ideal gas.

What evidence supports the view that ribosomal RNAs are a more important component of the ribosome than the ribosomal proteins?

Find the geometric mean of the pair of numbers.

$$6 \text { and } \frac { 3 } { 8 }$$

Evaluate to the nearest hundredth. a)

$$\cos 34 ^ { \circ }$$

b)

$$\sec 10 ^ { \circ }$$

c)

$$\cot 75 ^ { \circ }$$

d)

$$\csc 45 ^ { \circ }$$

Find the x- and y-intercepts of the function

$$y = 2x + 1.$$

What are the intercepts of the inverse function?

Make an order-of-magnitude estimate of the quantity. -The minimum work needed to assemble eight protons, one at each of the eight corners of a 5-mm cube.

An American roulette wheel has 38 slots. Two of the slots are numbered 0 and 00, and the rest are numbered from 1 to 36. A player places a bet on a number between 1 and 36 and wins if a ball thrown into the spinning roulette wheel lands in the slot with the same number. Find the probability of winning on two consecutive spins of the roulette wheel.

Determine the formula weights of each of the following compounds: nitric acid,

$$HNO_3$$

At some colleges and universities, economics professors receive higher salaries than professors in some other fields. a. Why might this be true? b. Some other colleges and universities have a policy of paying equal salaries to professors in all fields. At some of these schools, economics professors have lighter teaching loads than professors in some other fields. What role do the differences in teaching loads play?

Sketch the following sets of points.

$$\{ ( r , \theta ) : 0 \leq r \leq 4 , - \pi / 2 \leq \theta \leq - \pi / 3 \}$$

Use fraction strips to find the difference. Write your answer in simplest form.

$$\frac { 2 } { 3 } - \frac { 1 } { 4 }$$