Lana says there are $4 ^ { 3 }$ eggs in a dozen. Patrick says there are $3 ^ { 4 }$ eggs in a dozen. Is either person correct? Explain your reasoning.

In what ways is the setting of the 2009 adaptation different from the setting of the earlier film? How might audiences respond to each setting?

If $h(x)=x$ and $k(x)=\mathrm{e}^x$, find $\lim _{x \rightarrow \infty} \frac{h^{\prime}(x)}{k^{\prime}(x)}$ The limits in questions 1,4 , and $?$ are called 'indeterminate forms'.

Systems of linear equations with two variables have one solution.

A) Always

B) Sometimes

C) Never

Use the Midpoint Rule with the given value of n to approximate the integral. Round the answer to four decimal places.

$$\int _ { 0 } ^ { \pi / 2 } \cos ^ { 4 } x d x , \quad n = 4$$

What personality traits do geospatial information scientists have?

A tragedy is a drama that ends in the downfall of a main character. The main character, or tragic hero, who suffers this fate is usually a high-ranking or respected person whose personality is marred by a fatal weakness or tragic flaw. Fate or bad luck may work against this tragic hero, but usually his or her downfall is also brought about by an error or character flaw. Even if flawed, most tragic heroes are admirable individuals, and the audience regrets their loss.

Do you think that Romeo and Juliet are destroyed by fate, by their own character flaws, by the flaws of others, or by a combination of factors? Explain your answer.

Use the following elements and build new term relating to the bronchus.

$$\begin{array}{lll}\text { malacia } & \text { stenosis } & \text { plasty } \\ \text { scope } & \text { pathy } & \text { pulmonary } \\ \text { staxis } & \text { scopy } & \text { dilator } \\ \text { dilation } & \text { gram } & \text { ostomy }\end{array}$$

An instrument used to see into the bronchus: $\quad$ $\rule{4cm}{0.15mm}$

Write each exponential equation in logarithmic form.

$$51^{0}=1$$

Define ore.

Explain why mirrors can reflect images.

Define a rectangle.

Glen Canyon Dam, the fourth highest dam in the United States, has a rated head of $510 \mathrm{ft}$ and a maximum flow rate of $33,200 \mathrm{ft}^3 / \mathrm{s}$. The original capacity was $950 \mathrm{MWe}$ in 1964 , but generator uprating has since increased the capacity to 1320 MWe. Determine the original efficiency and the present efficiency.

A spring is hanging from the ceiling of a room. It is pulled and released so that the distance from the floor with respect to time is a sinusoidal motion. At t=2.5 seconds, the spring is at a minimum from the floor, 1.5 feet. At t=3.75 seconds, the spring is at a maximum, 6 feet. Find a trigonometric equation that models the motion of the spring as a function of time.

a. Find the height of the spring from the floor at t=3 seconds.

b. Find the first two times when the spring is 2 feet from the floor.