The rate of flow of water through rock is determined by the

(1) types of minerals that make up the rock

(2) total amount of space between mineral grains

(3) number of connected pore spaces and their sizes

(4) position of the rock with respect to the water table

For the following problem,

a. Sketch a reasonable graph showing how the variables are related.

b. Identify the type of function it could be (quadratic, power, exponential, and so on).

The temperature of a cup of coffee and the time since the coffee was poured.

For the vectors shown in Fig. 3-41, find $2 \overrightarrow{\mathbf{A}}-3 \overrightarrow{\mathbf{B}}+2 \overrightarrow{\mathbf{C}}$.

Solve the system.

$$\left\{\begin{aligned} \frac{1}{3} c+\frac{1}{2} d & =5 \\ c-\frac{2}{3} d & =-1 \end{aligned}\right.$$

Find the product. $\left(4 y^2+3 z\right)\left(4 y^2-3 z\right)$

Which event is a direct result of evaporation and transpiration?

(1) The atmosphere warms.

(2) Cloud cover decreases.

(3) Moisture enters the atmosphere.

(4) Moisture leaves the atmosphere.

Solve the system using Gaussian elimination. State whether the system is independent, dependent, or inconsistent.

$$\begin{aligned} 3 x &=1+2 y \\ y &=2-x \end{aligned}$$

In $2000$, the United States had $2.65$ million in active-duty military personnel. In $2004$, there were $1.41$ million in active-duty military personnel. What was the percentage of decrease? Round to the nearest whole percent.

Factor the expression.

$$2 \sin ^2 t-\sin t-1 \quad$$

The primary source of moisture for the local water supplies is.

(1) potential evaporation and transpiration

(2) actual evaporation and transpiration

(3) ground water storage

(4) precipitation

A viscous fluid flows in a 0.10-m-diameter pipe such that its velocity measured $0.012 \mathrm{~m}$ away from the pipe wall is $0.8 \mathrm{~m} / \mathrm{s}$. If the flow is laminar, find the centerline velocity and the volumetric flow rate.

Approximate the zero(s) of the function. Use Newton's Method and continue the process until two successive approximations differ by less than $0.001$. Then find the zero(s) using a graphing utility and compare the results.
$f(x)=x+\sin (x+1)$

Malor Inc. needs to upgrade its diagnostic equipment. At the time of purchase, Malor had expected the equipment to last 8 years. Unfortunately, it was obsolete after only 4 years. Ronald Nolan, CFO of Malor Inc., is considering leasing new equipment rather than buying it. What are the potential benefits of leasing?

Consider a mass going through a polytropic process where pressure is directly proportional to volume $(n=-1)$. The process starts with $P=0, V=0$ and ends with $P=600\ \mathrm{kPa}, V=0.01 \mathrm{~m}^3$. Find the boundary work done by the mass.