For each of the following pairs, indicate which substance has
(c) the greater acidity in aqueous solution, $\mathrm{C}_6 \mathrm{H}_5 \mathrm{CHO}$ or $\mathrm{C}_6 \mathrm{H}_5 \mathrm{COOH}$

write the first five terms of the sequence and find the limit of the sequence (if it exists). If the limit does not exist, then explain why. Assume n begins with 1.

$$an=n/n^2+1$$

For the expression, if the exact value is irrational, use your calculator to support your answer in part (a) by finding a decimal approximation.

$$\sec 45^{\circ}$$

When a large or small number is written in standard scientific notation, the number is expressed as the product of a number between $1$ and $10$, multiplied by the appropriate power of $10$. For each of the following numbers, indicate what number between $1$ and $10$ would be appropriate when expressing the numbers in standard scientific notation.
b. $0.003521$

Solve each triangle. Round to the nearest tenth. $c=19.3, A=39^{\circ} 15^{\prime}, C=64^{\circ} 45^{\prime}$

find the limit (if it exists). If the limit does not exist, then explain why. Use a graphing utility to verify your result graphically.

$$lim x→∞ x^2/2x+3$$

For each of the following pairs, pred ict which substance possesses the larger entropy per mole: 1 mol of

$$O_2(g)$$

at

$$300 ^ { \circ } \mathrm { C }$$

0.01 atm, or 1 mol of

$$O_3(g)$$

at

$$300 ^ { \circ } \mathrm { C }$$

0.01 atm.

find the limit (if it exists). If the limit does not exist, then explain why. Use a graphing utility to verify your result graphically. lim→∞ 1-2x / x+2

Villages A, B, C and D are connected by overhead telephone lines joining A B, A C, B C, B D and C D. As a result of severe gales, there is a probability p (the same for each link) that any particular link is broken. (a) Show that the probability that a call can be made from $A$ to $B$ is

$$1-p^2-2 p^3+3 p^4-p^5 .$$

(b) Show that the probability that a call can be made from $D$ to $A$ is

$$1-2 p^2-2 p^3+5 p^4-2 p^5$$

Does the table represent a linear relationship? Why or why not?

Determine if the given limit leads to a determinate or indeterminate form. Evaluate the limit if it exists, or say why if not. $\lim _{x \rightarrow 0} \frac{-x^{3}}{3 x^{3}}$

What kind of ions are formed by metals and transition metals?

Light bulbs, having a mean life of 2400 hours and standard deviation of 62 hours, are used for a consignment of 4000 bulbs. Determine:

(a) the number of bulbs likely to have a life in excess of 2500 hours

(b) the percentage of bulbs with a life length between 2300 hours and 2500 hours

(c) the probability of any one bulb having a life of 2500 hours (to the nearest hour).

Graph the ordered triple in a three-dimensional coordinate system.

$$(1,-2,-3)$$