The Internet is the infrastructure on which the Web exists.

• True
• False

Determine the six trigonometric functions of the angle. $-\frac{3 \pi}{4}$

we consider differential equations of the form $\frac {dx} {dt}$ = Ax(t) , where

$$A=\left[\begin{array}{ll}a_{11} & a_{12} \\a_{21} & a_{22}\end{array}\right]$$

,
The eigenvalues of A will be real, distinct, and nonzero. Analyze the stability of the equilibrium (0, 0), and classify the equilibrium according to whether it is a sink, a source, or a saddle point.
A=

$$\left[\begin{array}{ll} 1& 3 \\1&-1 \end{array}\right]$$

Emily Smith decides to buy a fuel-efficient used car. Here are several vehicles she is considering, with the estimated cost to purchase and the age of the vehicle.

$$\begin{array}{lrr} \text { Vehicle } & \text { Estimated Cost } & \text { Age } \\ \text { Honda Insight } & \$ 5,555 & 8 \\ \text { Toyota Prius } & \$ 17,888 & 3 \\ \text { Toyota Prius } & \$ 9,963 & 6 \\ \text { Toyota Echo } & \$ 6,793 & 5 \\ \text { Honda Civic Hybrid } & \$ 10,774 & 5 \\ \text { Honda Civic Hybrid } & \$ 16,310 & 2 \\ \text { Chevrolet Cruz } & \$ 2,475 & 8 \\ \text { Mazda3 } & \$ 2,808 & 10 \\ \text { Toyota Corolla } & \$ 7,073 & 9 \\ \text { Acura Integra } & \$ 8,978 & 8 \\ \text { Scion } \times \text { B } & \$ 11,213 & 2 \\ \text { Scion XA } & \$ 9,463 & 3 \\ \text { Mazda3 } & \$ 15,055 & 2 \\ \text { Mini Cooper } & \$ 20,705 & 2 \\ \hline \end{array}$$

a. Create a scatter plot of the data. What do you observe? b. Calculate the correlation coefficient. What does it indicate about the relationship between cost and age? c. Complete a regression analysis of the relationship. Report and interpret the coefficient of determination. d. Write the regression equation that predicts cost. e. Is the slope of the regression line significantly different from zero? Why? f. Estimate the cost of a 5-year-old car

Complete the construction of the medical term by using the following elements to fill in the blank(s).

$$\begin{array}{llllll}\text { hyper } & \text { defici } & \text { phylaxis } & \text { auto } & \text { suppress } & \text { graft } \\ \text { ion } & \text { anti } & \text { sensitiv } & \text { trans } & \text { allo } & \text { gen }\end{array}$$

Immediate, severe, allergic response: $\quad$ ana / $\rule{3cm}{0.15mm}$

Let $a \in \mathbf{Z}$ with $a>1$, and let $m, n$ be positive integers. Prove that if $a^m-1$ is a divisor of $a^n-1$, then m is a divisor of n.

Of the four moments of insight, which came as the greatest surprise to you? Explain your answer.

Which statement is NOT true about the noncyclic electron pathway?

A committee consisting of six members to oversee trade between Canada and the United States is chosen randomly from seven Americans and five Canadians. Find the probability that the committee is not equally split

Suppose that the value of a yacht in dollars after t years of use is $V(t)=275,000 e^{-0.17 t}$. What is the average value of the yacht over its first 10 years of use?

Write the integers in order from least to greatest. 7, −8, 9, −16, −13

Find all positive integers $n$ for which the given statement is not true.

$$3^n>2 n+1$$

Find the average value of the function over the given rectangles. $f ( x , y ) = x ^ { 4 } + 2 y ^ { 3 } , \quad R = [ 1,2 ] \times [ 2,3 ]$

(a) What is the insight expressed in "Astonishment"? (b) What provokes it?