Read the definitions below, then write the key term for each one in the column. ____ states that when one object exerts a force·on a second object, the second object exerts a force on the first that is equal in strength and opposite in direction. ____ is the tendency of an object to resist any change in its motion. ____ "The acceleration of an object is in the same direction as the net force on the object, and the acceleration can be calculated from the equation $a=F_{\text {net }} / m$

Circle the infinitive or infinitive phrase in each sentence. Jill wanted to march in the Thanksgiving Day parade.

Solve the inequality. Graph your solution.

$$-5+4 t \leq 3$$

Complete the statement.

$$35 \mathrm{mi/h}=\square \mathrm{ft} / \mathrm{min}$$

If

$$\mathbf{A}=\left(\begin{array}{rr}{1} & {-2} \\ {-2} & {4}\end{array}\right), \mathbf{B}=\left(\begin{array}{ll}{6} & {3} \\ {2} & {1}\end{array}\right),$$

and

$$\mathbf{C}=\left(\begin{array}{ll}{0} & {2} \\ {3} & {4}\end{array}\right),$$

find $(\mathbf{a})\ \mathbf{B C},(\mathbf{b})\ \mathbf{A}(\mathbf{B C}),(\mathbf{c})\ \mathbf{C}(\mathbf{B A}),(\mathbf{d})\ \mathbf{A}(\mathbf{B}+\mathbf{C}).$

In gas adsorption a vapor is transferred from a gas mixture to the surface of a solid. An approximate but useful way of analyzing adsorption is to treat it simply as condensation of vapor on a solid surface. Suppose a nitrogen stream at $35^{\circ} \mathrm{C}$ and 1 atm containing carbon tetrachloride with a 15% relative saturation is fed at a rate of 10.0 mol/min to a 6-kg bed of activated carbon. The temperature and pressure of the gas do not change appreciably from the inlet to the outlet of the bed, and there is no $\mathrm{CCl}_{4}$ in the gas leaving the adsorber. The carbon can adsorb 40% of its own mass of carbon tetrachloride before becoming saturated, at which point it must be either regenerated (remove the carbon tetrachloride) or replaced with a fresh bed of activated carbon. Neglect the effect of temperature on the heat of vaporization of $\mathrm{CCl}_{4}$ when solving the following problems: a) Estimate the rate (kJ/min) at which heat must be removed from the adsorber to keep the process isothermal, and the time (min) it will take to saturate the bed. b) The surface-to-volume ratio of spherical particles is (3/r) $\text { (cm }^{2} \text { outer surface) }$/$\left(\mathrm{cm}^{3} \text { volume }\right)$. First, derive that formula. Second, use it to explain how decreasing the average diameter of the particles in the carbon bed might make the adsorption process more efficient. Third, since most of the area on which adsorption takes place is provided by pores penetrating the particle, explain why the surface-to-volume ratio, as calculated by the above expression, might be relatively unimportant.

Draw one line under each simple subject and two lines under each simple predicate. The performance was impressive.

Find and simplify the derivative of the following functions. $f(w)=\frac{w+2 \sqrt{w}-3}{\sqrt{w}+3}$

Suppose that Y has a Pareto distribution with minimal parameter $\alpha$ and index parameter $\lambda$. (a) Find $E[Y]$ when $\lambda>1,$ and show that $E[Y]=\infty \text { when } \lambda \leq 1$ (b) Find $\operatorname{Var}(Y)$ when $\lambda>2$.

Draw a vertical line between the complete subject and the complete predicate. Some Viking poetry and literature still exist.

Juan charges $3.50 per hour for baby-sitting. Write a rule to describe how the amount of money M earned is a function of the number of hours h spent baby-sitting.

Draw a line under each adverb. Write in the blank the type of word it modifies: V (verb), adj. (adjective) or adv. (adverb). _____ Cynthia says she never dreams about her job.

Find the least common multiple. 12 and 2: ______

Evaluate the expression. $7+6 \times 2$ = ______