Divide. Write any remainders as fractions.

$$573 \div 6$$

Identify details about setting in the said lines. Why might the poet have chosen to provide such a detailed description of the setting of Beowulf's battle with Grendel's mother? How does this description influence the reader's impression of the battle?

(a) Find the slope of the graph of $f$ at the given point, (b) find an equation of the tangent line to the graph at the point, and (c) graph the function and the tangent line. $f(x)=x^{3}-5 x,(2,-2)$

Find the equation of the line through the point (-2, 5) which is perpendicular to the line y = 3x + 1. Find also the point of intersection of the two lines.

The portion of the dental implant that is embedded in the alveolar bone is?

Which is a gemstone? A. coral B. gypsum C. quartz D. ruby

Express each product as a sum containing only sines or only cosines. $\sin \frac{\theta}{2} \cos \frac{5 \theta}{2}$

Divide: $\left(x^3-x^2+x-1\right) \div(x-1)$

Solve the inequality. Check your solution. $z+5 \leq 11$

Give the word derived from Greek elements that matches given of the following. It is not necessary to give combining forms for words in parentheses. Verify your answer in a medical dictionary. Note that the wording of the dictionary definition may vary from the wording below.
Blue or purple discoloration of the extremities ____________

Divide. Round answer to the nearest hundredth.

$$3360 \div 28$$

Fill in the blanks with the correct form of the first or second person pronoun and translate the completed sentence: Intellego, Muci, foritudinem tuam vinci non posse. Itaque _____ liberare decerno.

Simplify. Assume that all variables represent positive real numbers. $9 \sqrt{27 p^{2}}-14 \sqrt{108 p^{2}}+2 \sqrt{48 p^{2}}$

You will find a graphing calculator useful for the exercise given below. Write the correct answer.

Let $g(x)=\left(x^2-2\right) /(x-\sqrt{2})$.

a. Make a table of the values of $g$ at the points x=1.4,1.41, 1.414, and so on through successive decimal approximations of $\sqrt{2}$. Estimate $\lim _{x \rightarrow \sqrt{2}} g(x)$.

b. Support your conclusion in part (a) by graphing $g$ near $x_0=\sqrt{2}$ and using Zoom and Trace to estimate $y$-values on the graph as $x \rightarrow \sqrt{2}$.

c. Find $\lim _{x \rightarrow \sqrt{2}} g(x)$ algebraically.