The precise definition of the left-hand limit, $\lim _{x \rightarrow a^{-}} f(x)=L$, may be stated as follows: For every number $\varepsilon>0$ there exists a number $\delta>0$ such that $|f(x)-L|<\varepsilon$ whenever $a-\delta<x<a$. Similarly, for the right-hand limit, $\lim _{x \rightarrow a^{+}} f(x)=L$ if for every number $\varepsilon>0$ there exists a number $\delta>0$ such that $|f(x)-L|<\varepsilon$ whenever $a<x<a+\delta$. Explain, with the aid of figures, why these definitions are appropriate.

Don Kurezlenski delivers bread for the City Bakery Company. He works 9 hours each day. A time study showed these figures. What percent of Don’s workday is spent on each of the activities?

Motocar Co. produces and sells automobile parts. On the first day of its fiscal year, Motocar Co. issued $\$15,000,000$ of five-year, $15\%$ bonds at an effective interest rate of $13\%$, with interest payable semiannually. Compute the following, presenting figures used in your computations.

$\hspace{20pt}$ The amount of cash proceeds from the sale of the bonds. (Use the tables of present values. Round to the nearest dollar.)

Lewis Co. produces and sells aviation equipment. On the first day of its fiscal year, Lewis Co. issued $60,000,000 of five-year, 10% bonds at a market (effective) interest rate of 13%, with interest payable semiannually. Compute the following, presenting figures used in your computations. c. The amount of discount to be amortized for the second semiannual interest payment period, using the interest method. Round to the nearest dollar.

Ware Co. produces and sells motorcycle parts. On the first day of its fiscal year, Ware Co. issued $35,000,000 of five-year, 12% bonds at a market (effective) interest rate of 10%, with interest payable semiannually. Compute the (b) amount of premium to be amortized for the first semiannual interest payment period, using the interest method. Round to the nearest dollar. Present figures used in your computations.

Benny the Barber owns a one-chair shop. At barber college, they told Benny that his customers would exhibit a Poisson arrival distribution and that he would provide an exponential service distribution. His market survey data indicate that customers arrive at a rate of two per hour. It will take Benny an average of 20 minutes to give a haircut. Based on these figures, find the following: The average time a customer waits.

A giant thunderstorm is moving toward a weather station at $45.0\ \mathrm{~mi} / \mathrm{~h}(20.1 \mathrm{~m} / \mathrm{~s})$. If the station sends a radar beam of frequency $200.0\ \mathrm{~MHz}$ toward the storm, what is the difference in frequency between the emitted beam and the beam reflected back from the storm? Be careful to carry plenty of significant figures! (Hint: The storm reflects the same frequency that it receives.)

Boyd Co. produces and sells aviation equipment. On the first day of its fiscal year, Boyd Co. issued $80,000,000 of five-year, 9% bonds at a market (effective) interest rate of 12%, with interest payable semiannually. Compute the following, presenting figures used in your computations.

c. The amount of discount to be amortized for the second semiannual interest payment period, using the interest method. Round to the nearest dollar

Benny the Barber owns a one-chair shop. At barber college, they told Benny that his customers would exhibit a Poisson arrival distribution and that he would provide an exponential service distribution. His market survey data indicate that customers arrive at a rate of two per hour. It will take Benny an average of 20 minutes to give a haircut. Based on these figures, find the following:. The average number of customers waiting.

Using the points shown below to draw the following figures:

$$\begin{array}{l} \hspace{.2cm}E\bullet\hspace{1cm}\bullet\text{U}\\ D\bullet\hspace{1.4cm}\bullet\text{C}\\ \hspace{.35cm}I\bullet\hspace{1cm}\bullet\text{L} \end{array}$$

(a) $\stackrel{\longleftrightarrow}{EL}$
(b) $\stackrel{\longrightarrow}{LC}$
(c) $\overline{LD}$
(d)$\overline{DL}$

Solve the following equations, giving your answers to 3 significant figures. (a)

$$( \text {i} ) \quad x ^ { 3 } = 3 x - 1 \quad ( \text {ii} ) \quad x ^ { 3 } + 4 x ^ { 2 } = 2 x - 1$$

(b)

$$( \text {i} ) \quad e ^ { x } = x + 1 \quad ( \text {ii} ) \quad e ^ { 2 x } = x ^ { 2 } - 3$$

(c)

$$( \text {i} ) \quad e ^ { x } = \ln x \quad ( \text {ii} ) \quad e ^ { x } \ln x = x ^ { 3 } - x$$

If necessary round all dollar figures to the nearest cent and round percents to the nearest hundredth of a percent. The city of Bradenton is offering simple interest loans to start-up businesses at a rate of 3.5%. Mr. Cannata obtains one of these loans of $6000 for 3 years to help pay for start-up costs of his restaurant, Ortygia. Determine the amount of money Mr. Cannata must repay the city after 3 years.

Consider a line segment from a point $A$ to a point $C$. Points $D$ and $B$ are between $A$ and $B$. Point $D$ is to the right of point $A$, and point $B$ is to the right of point $D$.

The distance from point $B$ to point $D$ in the given figure is $3.15 \mathrm{~km}$ while the distance from $A$ to $B$ is $3.45 \mathrm{~km}$. What is the distance from $A$ to $D$ ? Be sure to give the correct number of significant figures in your answer.

A memoir is a personal account of events from the author's past. It is usually written from the first-person point of view, using the pronoun $l$; this point of view allows the reader to see events as the author did. While an autobiography usually tells the story of a person's entire life, a memoir-like "Living Well. Living Good. ${ }^\pi$-typically focuses on a single incident or a particular period in a person's life. Unlike a historical account, which is objective and emphasizes facts, a memoir usually includes the author's personal observations and responses to people and events.

What role does Angelou play in the essay?