Plot the graph the function on the window $[-2,2]$ by $[-4,4]$ without using your calculator. After you have answered use a graphing calculator to check your answers.

$$y=\left(\frac{1}{3}\right)^{1-x}$$

Determine the coefficient and the degree of each term in each polynomial:

$$2a^5 + a^2 + 8a + 10$$

Give an example of a molecule or ion having a formula of each of the following types and structures. (a) AB3 (planar), (b) AB3 (pyramidal), (c) AB^-2 (bent), (d) AB^2- 3 (planar)

Use a word from the list to complete each analogy, creating a second word pair that matches the relationship between the first two given words. fester, barren, paradoxical, abash. empty : full :: _____ : fruitful

Use computer to find the eigenvalues and determinant of each of the following matrices:

$$A=\left( \begin{array}{ll}{6} & {-8} \\ {4} & {-6}\end{array}\right)$$

,

$$B=\left( \begin{array}{rr}{-11} & {-16} \\ {8} & {13}\end{array}\right)$$

and

$$C=\left( \begin{array}{rrr}{7} & {-21} & {-11} \\ {5} & {-13} & {-5} \\ {-5} & {9} & {1}\end{array}\right)$$

.

You are standing on a straight stretch of road and watching the motion of a bicycle; you choose your position as the origin. At one instant, the position of the bicycle is negative and its velocity is positive. Is the bicycle getting closer to you or farther away? Explain.

Write a square root function for which the domain is

$$\{ x | x \geq 8 \}$$

and the range is

$$\{ y | y \leq 14 \}$$

Compare the amount of movement possible in synarthrotic, amphiarthrotic, and diarthrotic joints. Relate these terms to the structural classification of joints; that is, to fibrous, cartilaginous, and synovial joints.

write the quotient in standard form. 8+16i / 2i

Solve the inequality. Graph the solution.

$$z - ( - 7 ) < 5$$

The cost per day of running a hospital is 200,000 + .002x2 dollars, where x = patients served per day. What size hospital minimizes the per-patient cost of running the hospital?

Find the Taylor polynomial of degree n for x near the given point a. cos x, $a=\pi / 2,$ n = 4

Find each percent of increase. Round to the nearest percent. 15 to 35

In a presidential election, 611 randomly selected voters were surveyed, and 308 of them said that they voted for the winning candidate (based on data from ICR Survey Research Group). The actual percentage of votes for the winning candidate was 43%. Assume that 43% of voters actually did vote for the winning candidate, and assume that 611 voters are randomly selected. Find the probability of exactly 308 voters who actually voted for the wi nner.