Take a look at the standoff between the narrator and her granddaughter, Sophie (paras. $98–141$). What techniques does Jen use to create the sense of desperation on the part of each character? Look especially at her choice of words.

In this exercise, find the value(s) of $c$ guaranteed by the Mean Value Theorem for Integrals for the function over the indicated interval.

Function: $f(x)=9 / x^3$, Interval: $[1,3]$

To get a feel for the size of the effects, calculate the magnitude of the force per meter if $I_{1}=I_{2}=10\ \mathrm{A}$ and the distance between the wires is d = 1 cm.

Analyze the function $y=A \sin (k \theta-c)+h .$ Which variable could you increase or decrease to have each of the following effects on the graph? translate the graph to the right.

Which of the following statements is true? $(a)$ A larger-diameter lens can better resolve two distant points. $(b)$ Red light can better resolve two distant points than blue light can. $(c)$ It is easier to resolve distant objects than nearer objects. $(d)$ Objects that are closer together are easier to resolve than objects that are farther apart.

For the given cash flows, suppose the firm uses the NPV decision rule.

$\quad$Year $\quad\quad$ Cash Flow
$\quad$ 0 $\quad\qquad$ –$162,000 <br>$    $1$                $54,000 <br>$    $2$                $85,000 <br>$    $3$                $ 69,000

Requirement 1: At a required return of 8 percent, what is the NPV of the project?
Requirement 2: At a required return of 20 percent, what is the NPV of the project?

It takes 4 h 39 min for a 2.00-mg sample of radium-230 to decay to 0.25 mg. What is the half- life of radium-230?

The distances (in thousands of miles) travelled over the course of the previous year by a sample of city drivers are shown in the stem-and-leaf graphic below.

$$\begin{array}{l|llllll} 0 & 3 & 6 & 9 & & & \\ 1 & 2 & 8 & 5 & 1 & 0 & 5 \\ 2 & 5 & 1 & 6 & & & \\ 3 & 8 & & & & \\ 4 & 1 & & & & \\ 5 & & & & & \\ 6 & 2 & & & & \end{array}$$

a. The sample means, medians, and modes for the data on driving distances should be calculated. b. Calculate the data's range, variance, and standard deviation. c. Third and first quartiles should be calculated. d. Compute the interquartile range. Describe what properties the interquartile range has. When quantifying variation, when the IQR is better to the standard deviation?

The beam of light produced by a small laser is cylindrical, of diameter $2.5 \mathrm{~mm}$. The rms power that the laser feeds into this beam is $1.2 \mathrm{~W}$. Calculate the rms values of the electric and magnetic fields.

Many people feel _______ to clean their homes to get rid of them. a. forced b. asked c. urged d. attracted

On another occasion, the car in Problem 94 negotiates the curve at $38 \mathrm{~km} / \mathrm{h}$. Neglect the effects of air drag and rolling friction. Find

$(b)$ the frictional force exerted on the tires by the pavement.

For an eye in which the pupil has a radius of 3.0 mm, what is the smallest angular separation that can be resolved (a) when two violet $( \lambda = 400 \mathrm { nm } )$ objects are placed side by side and (b) when two red $( \lambda = 650 \mathrm { nm } )$ objects are placed side by side? When the objects are 100 m away from this eye, what minimum linear separation distance is needed for resolution (c) of the two violet objects and (d) of the two red objects?

The gravitational force (in lb) of attraction between two objects is given by $F=k/x^2$, where $x$ is the distance between the objects. If the objects are $10$ ft apart, find the work required to separate them until they are $100$ ft apart. Express the result in terms of $k$.

A small laser used as a pointer produces a beam of red light 5 mm in diameter and has a power output of 5 mW. What is the magnitude of the electric field in the laser beam?