Choose two items from the following list, and decide how hard it would be to do both at the same time. Several things are hard to do simultaneously because of physical limitations. For example, it is really dangerous to type on your computer and drive at the same time. Others things are hard to do simultaneously because of cognitive limitations. For each pair of activities that you choose, decide why it would be easy or hard to do them simultaneously. Be sure to take the idea of cognitive load into account.

Driving a car Reading a book for pleasure Doing math problems Talking to a friend Thinking about tomorrow Rock climbing Talking on a cell phone Flying a kite Walking in the woods Listening to a story Writing a paper for class Dancing

Because of the slope of the aggregate demand curve, we can say that _________.

A) a decrease in the price level leads to a lower level of real GDP demanded.
B) an increase in the price level leads to no change in the level of real GDP demanded.
C) a decrease in the price level leads to a higher level of real GDP demanded.
D) an increase in the price level leads to a higher level of real GDP demanded.

Because of the slope of the aggregate demand curve, we can say that _________.

A) a decrease in the price level leads to a lower level of real GDP demanded.
B) an increase in the price level leads to no change in the level of real GDP demanded.
C) a decrease in the price level leads to a higher level of real GDP demanded.
D) an increase in the price level leads to a higher level of real GDP demanded.

For each of the following sentences, add end marks where needed. Also, underline any errors in the use of abbreviations and write the correction above the error.

Example 1. Will $\underline{\text{Mister}}$ (Mr.) Benson be our teacher next year?

16. The poet who gave readings last week was Dennis Ellington, Senior.

Solve the differential equation. dy/dx = 6 - y

Plot a slope field for each of the following differential equations, and use the field to sketch the graph of the solution that passes through the specified point. a. y' = 2x - y; (0, 0) b. $y^{\prime}=x^{2}-y^{2};$ (1, 1) c. $y^{\prime}=\frac{y}{x+1};$ (0, 0)

Solve the Neumann problem for a rectangle: $\frac{\partial^{2} u}{\partial x^{2}}+\frac{\partial^{2} u}{\partial y^{2}}=0, \quad 0<x<a, 0<y<b$ $\left.\frac{\partial u}{\partial y}\right|_{y=0}=0,\left.\quad \frac{\partial u}{\partial y}\right|_{y=b}=0, \quad 0<x<a$ $\left.\frac{\partial u}{\partial x}\right|_{x=0}=0,\left.\frac{\partial u}{\partial x}\right|_{x=a}=g(y), 0<y<b$. (a) Explain why a necessary condition for a solution u to exist is that g satisfy $\int_{0}^{b} g(y) d y=0$. This is sometimes called a compatibility condition. Do some extra reading and explain the compatibility condition on physical grounds. (b) If u is a solution of the BVP, explain why u + c, where c is an arbitrary constant, is also a solution.

(a) What is the rms current in an RC circuit if R = 28.8 k$\Omega$, $C = 0.80 ~\mu\mathrm{F}$, and the rms applied voltage is $120 ~\mathrm{V}$ at $60 ~\mathrm{Hz}?$ (b) What is the phase angle between voltage and current? (c) What is the power dissipated by the circuit? (d) What are the voltmeter readings across $R$ and $C?$

Solve the differential equation

$$y’=2x√1-y^2$$

If an underlined word or phrase contains an error, write the correct word or phrase. If there is no error, write Correct.

There $\underline{\text{{isn't no other}}}$ animal as mysterious as the cat. In the countries formerly known as Burma and Siam, cats were held in the $\underline{\text{{most highest}}}$ regard. $\underline{\text{{Those kind of feelings}}}$ were probably based on ancient beliefs about the animal's magical powers. Temple cats, in particular, were cared for really $\underline{\text{good}}$. People treated them better than $\underline{\text{any cat}}$. $\underline{\text{Them cats}}$ were the guardians of the people who had died. Some were even $\underline{\text{more holier}}$ because they were buried alive in the tombs of royalty.

Read the following passage. Then choose modifiers from the list to fill in the blanks.

In $\underline{\text{{(what kind?)}}}$ legends, the griffin $\underline{\text{{(how?)}}}$guards a treasure of jewels and gold. $\underline{\text{{(which one?)}}}$ fabulous beast has the head and wings of an eagle and the body of a lion. His only enemies are the $\underline{\text{{(what kind?)}}}$fighters known as the Arimaspians. These warriors are $\underline{\text{{(when?)}}}$after the griffin's (what kind?) treasure. In some stories, $\underline{\text{{(how many?)}}}$ griffins pull the chariot of the sun across the sky. Their $\underline{\text{{(what kind?)}}}$ wings shine $\underline{\text{{(how?)}}}$ as they fly high above the earth.

golden

this

one-eyed

precious

several

jealously

ancient Greek

brilliantly

always

T.H. is a 55-year-old man with an 8-month history of progressive muscle weakness. Initially, he tripped over things and seemed to drop everything. He lost interest in activities because he was always exhausted. He sought medical assistance when his speech became slurred and he started to drool. During the initial evaluation, the physician noted frequent, severe muscle cramps, muscle twitching, and inappropriate, uncontrollable periods of laughter. After undergoing a series of tests, T.H. was diagnosed with amyotrophic lateral sclerosis (ALS). He is upset and bewildered about a disease that he has "never even heard of' You are a home health nurse who is seeing T.H. for the first time.
Who gets ALS?

solve the given differential equation. y''+y(y')3=0

A book publisher wishes to determine whether there is a difference in the type of book selected by males and females for recreational reading. A random sample provides the data given here. At $\alpha=0.05$, test the claim that the type of book selected is independent of the gender of the individual. Use the $P$-value method. Type of book

$$\begin{array}{lccc} Gender & Mystery & Romance & Self-help \\ \hline Male & 243 & 201 & 191 \\ Female & 135 & 149 & 202 \end{array}$$

Perform the following steps. a. State the hypotheses and identify the claim. b. Find the critical value. c. Compute the test value. d. Make the decision. e. Summarize the results. Use the traditional method of hypothesis testing unless otherwise specified. Assume all assumptions are valid.