Define syngamy.

$K_{s p}$ for silver chloride at $25.0^{\circ} \mathrm{C}$ is $1.782 \times 10^{-10}$. At $35.0^{\circ} \mathrm{C}, K_{s p}$ is $4.159 \times 10^{-10}$. What are $\Delta H^{\circ}$ and $\Delta S^{\circ}$ for the reaction?

Find the directional derivative of the function at the given point in the direction of the vector v.

$$g(p,q)=p^4-p^2q^3,(2,1),v=i+3j$$

Give the coordinates of the images of the following points under $R_{O,-90^{\circ}}$.

d. $(-3,-1)$

Draw a line under the correct form of the verb in parentheses.

Be careful. The rungs of that ladder (bends, bend)!

write the exponential equation in logarithmic form. e^2x = 3

Use your computer package to find the following critical points: $\textbf{(a)}\,\, \chi_{0.10,9}^2$

$$\textbf{(b)}\,\, \chi_{0.05,20}^2$$

$\textbf{(c)}\,\, \chi_{0.01,26}^2$

$$\textbf{(d)}\,\, \chi_{0.90,50}^2$$

$$\textbf{(e)}\,\, \chi_{0.95,6}^2$$

In the following sentence, selecting who, whom, whoever, or whomever first requires isolating the clause within which the pronoun appears. Then, within the clause, determine whether a subject (who, whoever) or object (whom, whomever) pronoun is required.

Example: Give the package to (whoever, whomever) opens the door. (He or she opens the door = whoever opens the door.) $\underline{\text{whoever}}$

You may give the tickets to (whoever, whomever) you wish. _____________

Find the sum of each series, or state that the sum does not exist and explain your reasoning. $\sqrt{5}+1+\frac{\sqrt{5}}{5}+\cdots$

Find the solution of the exponential equation, as in the said example.

$$5^{x-1}=125$$

Define a pollutant.

Identify the infinitive phrase in the sentence below and tell whether it is being used as a noun, an adjective, or an adverb. Be careful not to confuse an infinitive with a prepositional phrase beginning with to.

Lizabeth and Joey were free to run wild with the other children.

Connect What visual elements does the filmmaker use in the clip to make a connection between the flow of the film and the rivers and tides of the title?

(a) Summarize what happens inside the Cyclops's cave.

(b) What personality traits does Odysseus reveal in leading his men to safety?