Who are the protagonists and the antagonist of '' The Lottery'' by Shirley Jackson?

On a test, the physics teacher asks, "What is the gravitational potential energy of a 10-newton ball resting on a shelf 2 meters above the floor?" Jamie got no points for responding that the answer was zero. What argument could Jamie use to convince the teacher that zero could be the right answer?

Let $f(x)=\frac{1}{x^3-1}$ and consider the limits $\lim _{x \rightarrow 1^{-}} f(x)$ and $\lim _{x \rightarrow 1^{+}} f(x)$.

(a) Use a table of values to investigate each limit.

(b) Use an analytical argument to find each limit.

(c) Sketch a graph of f to confirm your results

The following graph represents Jordan's bike trip:

a. Which segment of Jordan's trip took the most time? How do you know?

b. During which segment of his trip did Jordan go the farthest? How do you know?

c. During which segment of his trip did Jordan travel the fastest? How do you know? Use distance and time in your argument.

d. Explain how you know that Jordan stopped during segment B. Use time and distance in your argument.

The given graph represents Susan's distance from home, over time, for her trip from her house to the grocery store.

During which segment of her journey did Susan travel the fastest? Explain why. Be sure to use distance and time in your argument. (Do not rely simply on visual estimation of steepness.)

Give a geometric argument that explains why the integrals have equal values.

$$\pi \int_0^2\left[16-(2 y)^2\right] d y, \quad 2 \pi \int_0^4 x\left(\frac{x}{2}\right) d x$$

Explain why the following argument is incorrect.

$$\begin{aligned} \lim _{x \rightarrow 0}\left(\frac{2}{x^2+4 x}-\frac{1}{x^2+2 x}\right) & =\lim _{x \rightarrow 0} \frac{1}{x}\left(\frac{2}{x+4}-\frac{1}{x+2}\right) \\ & =\infty \cdot 0=0 \end{aligned}$$

What is the correct form of the phrase in parenthesis that explains the sentence? Todos lloran cuando ven esa película. _________________________. (parecer triste / el argumento)

(a) Use resonance forms to explain in detail the relative order of acidity of carboxylic acid derivatives, as presented in the indicated section.

(b) Do the same, but use an argument based on inductive effects.

The independent variable is sometimes referred to as the _______ of the function.

(a) range

(b) value

(c) argument

(d) definition

Establish the 10th equation to complete the argument for the extension of Green’s Theorem.

The shaft is supported by a journal bearing at $A$, which exerts only vertical reactions on the shaft, and by a thrust bearing at $B$, which exerts both horizontal and vertical reactions on the shaft. Draw the bending-moment diagram for the shaft and then, from this diagram, sketch the deflection or elastic curve for the shaft's centerline. Determine the equations of the elastic curve using the coordinates $x_1$ and $x_2 . E I$ is constant.

The balanced chemical equation for the combustion of propane is:

$$\text{C}_3\text{H}_8\text{(g)} + 5\ \text{O}_2\text{(g)} \to 3 \ \text{CO}_2\text{(g)} + 4~ \text{H}_2\text{O(g)}$$

Which statement is correct about the complete combustion of 3.00 mole of propane, C$_3$H$_8$?

1. 12.00 mol H$_2$O are produced.
2. 3.00 g CO$_2$ are produced.
3. 3.00 mol CO$_2$ are produced.
4. 12.00 g H$_2$O are produced.

The most common behavioral expression of anxiety is ______, while some people experience intense fear reactions resembling sheer terror is called _______.