Spirit Airlines kept track of the number of empty seats on flight $308$ (DEN-DTW) for $10$ consecutive trips on each weekday except Friday. (a) Sort the data for each day. (b) Find the mean, median, mode, midrange, geometric mean, and 10 percent trimmed mean (i.e., dropping the first and last sorted observations) for each day. (c) Do the measures of center agree? Explain. (d) Note strengths or weaknesses of each statistic of center for the data.

Monday: $6,1,5,9,1,1,6,5,5,1$

Tuesday: $1,3,3,1,4,6,9,7,7,6$

Wednesday: $6,0,6,0,6,10,0,0,4,6$

Thursday: $1,1,10,1,1,1,1,1,1,1$

In Exercise given below, use a symbolic integration utility to evaluate the double integral.

$$\int_0^3 \int_0^{x^2} \sqrt{x} \sqrt{1+x} d y d x$$

Plot the curves of the given polar equations in polar coordinates.

$$\theta=-1.5$$

Verify that the equation is an identity.

$$\frac{\sin s}{1+\cos s}+\frac{1+\cos s}{\sin s}=2 \csc s$$

Find the second partial derivatives of the function.

$$f(x,y,z)=x^2yz^3$$

Fill in the blanks.
The natural logarithmic function is defined by $\ln x = \underline{\quad\quad\quad\quad}$.

Write a triple integral, including limits of integration, that gives the specified volume.

Between the top portion of the sphere x squared + y squared + z squared =9 and the plane z=2.

Read the passage, and then answer the questions that follow. The Elmont High School Blazers struggled through their $\underline{ \text{worst}}$ football season ever. Each week, they walked onto Elmont Field with the hope of victory and walked off with another loss. After four losses, with the stands nearly empty, the team still $\underline{ \text{strode}}$ onto the field with pride. What is the denotation of $\underline{ \text{worst}}$ in this passage? A most embarrassing B most stunning C most difficult D most bad

A 600 line/mm diffraction grating is in an empty aquarium tank. The index of refraction of the glass walls is $n_{\mathrm{glass}}=1.50$. A helium-neon laser $(\lambda=633 \mathrm{nm})$ is outside the aquarium. The laser beam passes through the glass wall and illuminates the diffraction grating. a. What is the first- order diffraction angle of the laser beam? b. What is the first-order diffraction angle of the laser beam after the aquarium is filled with water $\left(n_{\text {water }}=1.33\right)$?

In the following exercise,

$$w=x y z, \quad x=s+t, \quad y=s-t, \quad z=s t^2$$

find $\partial w / \partial s$ and $\partial w / \partial t$ by converting w to a function of s and t before differentiating

Underline all words that should appear in italics in the following sentence. Example 1. She recently read $\underline{\text{The Wind in the Willows}}$ for the first time.

Tina Brown left The New Yorker to begin Talk magazine.

Identify the following terms or individuals and explain their significance:

Eva Per$\acute{o}$n

Find all natural number solutions for given congruence.

$$2+y \equiv 4 \bmod 6$$

A cone and a cylinder each have radius 3 and height 4 . Find the ratio of their volumes and of their lateral areas.