For which of the following reactions would you expect the extent of the forward reaction to increase with increasing temperatures? Explain.
a) $\mathrm{NO}(\mathrm{g}) \rightleftharpoons \frac{1}{2} \mathrm{~N}_2(\mathrm{~g})+\frac{1}{2} \mathrm{O}_2(\mathrm{~g}) \quad \Delta_{\mathrm{T}} H^{\circ}=-90.2 \mathrm{~kJ} \mathrm{~mol}{ }^{-1}$

The top view of an experimental rocket sled which is traveling at a speed of 1000 ft/sec when its forward scoop enters a water channel to act as a brake. The water is diverted at right angles relative to the motion of the sled. If the frontal flow area of the scoop is 15 in.2, calculate the initial braking force. The specific weight of water is 62.4 lb/$ft^3$.

An integer is a palindrome if it reads the same forwards and backwards when expressed in base-10. For example, 1331 is a palindrome. Disprove: All palindromes with two or more digits are divisible by 11.

The weights (in pounds) of the players on a professional basketball team by position are as follows. Power forwards: 235, 255, 295, 245; small forwards: 235 , 235; centers: 255, 245, 325; point guards: 205, 185, 205; shooting guards: 205, 215, 185.

Make a graph that represents the weights and positions of the players. Does there appear to be a correlation between the body weights and the positions of players in professional basketball? Explain your reasoning

The data for the following exercise consist of a random sample of 40 companies that were part of the S&P 500 and information was current as of May 24, 2013. For each variable,

(a) group the data as indicated;

(b) prepare a frequency distribution with columns for intervals and frequencies;

(c) construct a histogram.

The variable is forward P/E (forward price to earnings ratio calculated as market price per share divided by the expected earnings per share). Use 9 intervals, starting with 0-9.9, 10.0-19.9, etc.

For which of the following reactions would you expect the extent of the forward reaction to increase with increasing temperatures? Explain.
(b) $\quad \mathrm{SO}_3(\mathrm{~g}) \rightleftharpoons \mathrm{SO}_2(\mathrm{~g})+\frac{1}{2} \mathrm{O}_2(\mathrm{~g}) \quad \Delta_{\mathrm{r}} H^{\circ}=+98.9 \mathrm{~kJ} \mathrm{~mol}^{-1}$

(Palindromes) A palindrome is a string that’s spelled the same way forward and backward. Some examples of palindromes are: “radar,” “able was i ere i saw elba,” and, if you ignore blanks, “a man a plan a canal panama.” Write a recursive function test Palindrome that returns 1 if the string stored in the array is a palindrome and 0 otherwise. The function should ignore spaces and punctuation in the string.

Switching in a router forwards data from an input port to an output port. What is the advantage of switching via an interconnection network over switching via memory and switching via bus?

Use the forms provided in the Working Papers. For the statement, prepare a flowchart to represent the process described.

A warehouse manager approves time cards and forwards the time cards to the Payroll Department.

You are the CEO of a high-growth technology firm. You plan to raise $\$ 160$ million to fund an expansion by issuing either new shares or new debt. With the expansion, you expect earnings next year of $\$ 31$ million. The firm currently has $9$ million shares outstanding, with a price of $\$ 67$ per share. Assume perfect capital markets.

a. If you raise the $\$ 160$ million by selling new shares, what will the forecast for next year's earnings per share be?

b. If you raise the $\$ 160$ million by issuing new debt with an interest rate of $8 \%$, what will the forecast for next year's earnings per share be?

c. What is the firm's forward P/E ratio (that is, the share price divided by the expected earnings for the coming year) if it issues equity? What is the firm's forward P/E ratio if it issues debt? How can you explain the difference?

We saw that a runner's Achilles tendon will stretch like a spring and then rebound, storing and returning energy during a step. We can model this as the simple harmonic motion of a mass-spring system. When the foot rolls forward, the tendon spring begins to stretch as the weight moves to the ball of the foot, transforming kinetic energy into elastic potential energy. This is the first phase of an oscillation. The spring then rebounds, converting potential energy to kinetic energy as the foot lifts off the ground. The oscillation is fast: Sprinters running a short race keep each foot in contact with the ground for about 0.10 second, and some of that time corresponds to the heel strike and subsequent rolling forward of the foot. If, during a stride, the stretch causes her center of mass to lower by 10 mm, what is the stored energy? A. 3.0 J B. 6.0 J C. 9.0 J D. 12 J

A catalyst has no effect on the position of an equilibrium because it speeds up both the forward and reverse rates to the same extent. To test this statement, consider a situation in which an equilibrium of the type 2 A (g) <=> B (g) is established inside a cylinder fitted with a weightless piston. The piston is attached by a string to the cover of a box containing a catalyst. When the piston moves upward (expanding against atmospheric pressure), the cover is lifted and the catalyst is exposed to the gases. When the piston moves downward, the box is closed. Assume that the catalyst speeds up the forward reaction (2A => B) but does not affect the reverse process (B => 2A). Suppose that we have a reactor with moving piston and the catalyst is suddenly exposed to the equilibrium system if the pressure increases but the catalyst is blocked if the pressure decreases.. Describe what would happen subsequently. How does this “thought” experiment convince you that no such catalyst can exist?

A rocket in deep space with an initial velocity of $12 \mathrm{~km} / \mathrm{s}$ [forward] sheds its rear stages, which represent two-thirds of its mass. The rear stages travel with a velocity of $10.0 \mathrm{~km} / \mathrm{s}$ [backward]. The remaining rocket continues in the initial direction of motion. Calculate the rocket's velocity after shedding the rear stages.

On the lines provided, rewrite the following sentences, correcting errors in the use of abbreviations.

Example 1. Langston was treated by Dr. Elena Chavez, MD, in Chicago, IL.

$$\underline{\color{#c34632}\text{Langston was treated by Dr. Elena Chavez (or, Elena Chavez, M.D.), in Chicago, Illinois.}}$$

Please forward all mail to Michiko Conroy, $1200$ Michigan Ave, Ann Arbor, MI $48104$.

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