In paragraphs 24-27, the second woman rips the embroidered man completely out of her embroidery because -

A. she did not want the other women to be jealous of her fine stitching B. she was angry and afraid C. she knew she could do better D. she was not paying attention and tore too much of the man out

In paragraph 19, twitched means -

A. jerked C. sewed B. lay still D. stroked

In paragraphs 11-14, hands symbolize -

A. just another part of the body B. something that is pampered and manicured C. aches and pains D. the everyday activities of life

A manufacturer of lightbulbs wants to produce bulbs that last about $700$ hours but, of course, some bulbs burn out faster than others. Let $F(t)$ be the fraction of the company's bulbs that burn out before $t$ hours, so $F(t)$ always lies between $0$ and $1$ .

What is the meaning of the derivative $r(t)=F^{\prime}(t)$ ?

In the sentence below, correct any errors in the use of comparisons. Cross out any unnecessary words. Insert any missing word by inserting a caret (^) and writing the word above it. If the sentence is already correct, write C at the end.

Then I carefully cut out the pieces with my dad’s jigsaw, which is the most perfect tool for the job.

For each sentence, if the underlined pronoun is correct write C above it. If it is not correct, cross it out and write the correct form of the pronoun above it.

Example 1. My choice for the student delegate will be $\overset{\textit{\color{#c34632}{she}}}{{\underline{\sout{\text{her}}}}}$.

It wasn’t $\underline{\text{I}}$ who left the baseball equipment out on the field.

Read each sentence and decide if the underlined number should be spelled out. If it should, write the spelled-out form above it. If the number is already correct, write $C$ above it.

Example 1. $\underline{152}$ (One hundred fifty-two) students auditioned for the marching band.

The next rest area is $\underline{100}$ miles away.

Design an RC high-pass filter that passes a signal with frequency $5.00 \mathrm{kHz}$, has a ratio $V_{\text {out }} / V_{\text {in }}=0.500$, and has an impedance of $1.00 \mathrm{k} \Omega$ at very high frequencies. b) What is the phase of $V_{\text {out }}$ relative to $V_{\text {in }}$ at the frequency of $5.00 \mathrm{kHz}$ ?

Zoom out sufficiently far so that the graph appears as a line. What equation does this line appear to have? (Note that the points at which the function is not continuous are not readily seen when you zoom out.)

$$f(x)=-\frac{x^{3}-2x^{2}+2}{2x^{2}}$$

$$g(x)= -\frac{1}{2}x+1-\frac{1}{x^{2}}$$

A 1000-liter (L) tank contains 500 L of water with a salt concentration of 10 g/L. Water with a salt concentration of 50 g/L flows into the tank at a rate of

$$R _ { i n } = 80$$

L/minutes (min). The fluid mixes instantaneously and is pumped out at a specified rate

$$R _ { \mathrm { out } }.$$

Let y(t) denote the quantity of salt in the tank at time t. Assume that

$$R _ { \mathrm { out } } = 40 \mathrm { L } / \mathrm { min }.$$

(a) Set up and solve the differential equation for y(t). (b) What is the salt concentration when the tank overflows?

a) Find a recurrence relation for the number of ways to lay out a walkway with slate tiles if the tiles are red, green, or gray, so that no two red tiles are adjacent and tiles of the same color are considered indistinguishable. b) What are the initial conditions for the recurrence relation in part (a)? c) How many ways are there to lay out a path of seven tiles as described in part (a)?

After a collision with a power pole, you are trapped in your car, with a high-voltage line (with frayed insulation) in contact with the hood of the car. If you must get out before help arrives, is it safer to step out of the car one foot at a time or to jump with both feet leaving the car at the same time? Explain your reasoning.

Identify an advertisement for a product you would consider buying. If the ad appeared in a newspaper or magazine, cut it out and bring it to class. If it appeared online, print it out. If it was aired on the radio or television, either record the ad or write a description of it and bring it to class. Answer the following questions about your ad:

Who is the intended target audience for this product or service?

In this exercise, a 1000-liter tank contains 500 L of water with a salt concentration of 10 g/L. Water with a salt concentration of 50 g/L flows into the tank at a rate of $R_{\text {in }}$=80 L/min. The fluid mixes instantaneously and is pumped out at a specified rate $R_{\text {out. }}$ Let y(t) denote the quantity of salt in the tank at time t.

Assume that $R_{\text {out }}$=40 L/min.

(a) Set up and solve the differential equation for $y(t)$.

(b) What is the salt concentration when the tank overflows?