Which of the three poems-"She Walks in Beauty," "When We Two Parted," or the excerpt from Childe Harold's Pilgrimage-do you think conveys the strongest emotions? Give evidence to support your opinion.

The function $T(g)=1670+0.15(g-16,700)$ represents the 2009 federal income tax T (in dollars) due for a “married filing jointly” filer whose modified adjusted gross income is g dollars, where $16,700 \leq g \leq 67,900.$ Given that the tax due T is an increasing linear function of modified adjusted gross income g, find the range of the function T.

What aspects of the ocean do you think the speaker admires most? Cite specific examples to support your answer.

What is the relationship between per capita birth rate and the total number of births in a population during a time period?

Determine whether the set, together with the standard operations, is a vector space. If it is not, identify at least one of the ten vector space axioms that fails.

The set of all first-degree polynomial functions $ax+b\quad a,\ b \neq 0$, whose graphs do not pass through the origin

Let us consider the difference between $t ( n ) = 2 \cdot 3 ^ { n } \text { and } f ( x ) = 2 \cdot 3 ^ { x }$ a. Is $f ( x ) = 2 \cdot 3 ^ { x }$ a function? Why or why not? Is $t ( n ) = 2 \cdot 3 ^ { n }$ a function? b. Is it possible for t(n) to equal 1400? If so, find the value of n that makes t(n) = 1400. If not, justify why not. c. Is it possible for $f(x)$ to equal 1400? Be prepared to share your justification with the class. d. How are the functions similar? How are they different?

Suppose a friend has just confided to you about being in an abusive relationship. Write a dialogue between you and your friend in which you show support and encourage your friend to seek help.

Consider the function

$$f ( x ) = 2 x ^ { 2 } + 4 x - 8$$

. a. What are a, b, and c? b. Find

$$- \frac { b } { 2 a }$$

.

The three domains of life a. represent variations of the same basic cell type. b. include two different basic cell types. c. consist of three different basic cell types. d. describe current cells but say nothing about their history.

Determine the matrix of coefficients and the augmented matrix for each of the systems of linear equations.

$$\begin{aligned} x_{1}+x_{2}-x_{3} &=14 \\ 3 x_{1}+4 x_{2}-2 x_{3} &=9 \\ 2 x_{1}+& x_{3}=7 \end{aligned}$$

Show that $(f \circ g)(x)=(g \circ f)(x)=x.$ $f(x)=2 x ;\ g(x)=\frac{1}{2} x$

Use the Limit Comparison Test to determine the convergence or divergence of the series. ∑_(n=1)^∞ [n^(k-1) / (n^k + 1), k > 2]

Suppose f and g are continuous functions such that g(3) = 5 and lim x → 3 [3f(x) + f(x)g(x)] = 32. Find f(3).

A circle with center at (3, -4) is drawn so that it is tangent to the x-axis. That is, the circle touches the x-axis at only one point called the point of tangency. Write an equation for a congruent circle with center at the origin.