What were the goals of early socialists?

Find equations of the tangent lines at the points $(1,1)$ and $\left(4, \frac{1}{2}\right)$.

Find the area of the triangle in 3-space that has the given vertices. $P(1,-1,2), Q(0,3,4), R(6,1,8)$.

Identify Ronald Reagan, Mikhail Gorbachev, Leonid Brezhnev, Brezhnev Doctrine, Boris Yeltsin, Vladimir Putin.

Factor.

$$6x^2 +13x +6$$

Find equations of the following lines. The line through (0, 0, 1) parallel to the x-axis

Write the correct word in the space next to each definition. Use each word only once.

patronage; support

Determine whether each function is linear or not. Then graph the function.

$$F(x)=-2 x$$

Parliament abolished the monarchy and declared England a republic or __________.

Marginal profit $P^{\prime}(q)$ is the derivative of the profit function $P(q)$, where $q$ is the number of units sold. What does $\int_{75}^{90} P^{\prime}(q) d q$ represent?

Here are the results of the sprinting experiment described in the Exercise. The times (in seconds) for 8 different sprinters are shown in the table below:

(a) Calculate the difference for each sprinter (Standing - Blocks), display the differences with a dotplot, and briefly describe what you see.

(b) Calculate and interpret the mean difference. Use the mean difference as the test statistic for the hypotheses you stated in Exercise 1(f).

c) Describe how to simulate the distribution of the test statistic, assuming that sprinters have the same ability to run with and without starting blocks.

(d) One hundred trials of the simulation were conducted and the value of the simulated mean difference was recorded. Briefly describe what information is provided by the dotplot below.

(e) Based on the simulation, estimate and interpret the $p$-value.

(f) Based on the $p$-value, make an appropriate conclusion.

(g) If the results are statistically significant, can you conclude that using blocks causes sprinters to have lower times? Explain.

Choose the word in parentheses that best completes the sentence: In the Dominican Republic, people had been killed for expressing views the government regarded as (tentative, insubordinate).

How were the histories of early Japan and early Korea similar?

Define: republic, emancipation, manumission.