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 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.

At thermal equilibrium, is the rate as a molecule is excited from n = 0 to the n = 1 level grea ter than or Jess than the rate for the reverse process? What is the ratio of the rate constants? (Hint: Think of the ana logy with the chemical equilibrium between two species.)

Write a square root function for which the domain is

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

and the range is

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

For each of the following molecules, give the steric number and sketch and name the approxima te molecular geometry. In each case, the central atom is listed first and the other atoms are all bonded directly to it. (a) CBr4, (b) SO3, (c) SeF6, (d) SOCI2, (e) ICI3

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.

Solve the inequality. Graph the solution.

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

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

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.

A race car moves such that its position fits the relationship $x = ( 5.0 \mathrm { m } / \mathrm { s } ) t + \left( 0.75 \mathrm { m } / \mathrm { s } ^ { 3 } \right) t ^ { 3 }$ where x is measured in meters and t in seconds. Determine the instantaneous velocity of the car at t = 4.0 s, using time intervals of 0.40 s, 0.20 s, and 0.10 s.