Refer to Exercise 16.2. Calculate the residuals and the predicted values of y.

Use a graphing utility to graph the function over the interval. Find the average value of the function over the interval. Then find all x-values in the interval for which the function is equal to its average value. Function: $f(x)=\frac{6 x}{x^2+1}$ Point: $[0,7]$

Assume $t$ is time measured in seconds and velocities have units of $\mathrm{m} / \mathrm{s}$.

$$v(t)=10 \sin 2 t ; 0 \leq t \leq 2 \pi$$

(a.) Graph the velocity function over the given interval. Then determine when the motion is in the positive direction and when it is in the negative direction. (b). Find the displacement over the given interval. ($c$). Find the distance traveled over the given interval.

Match the function to the graph.

$$f(x)=(x-1)^2$$

The cost to rent a skating rink is $215 for a two-hour party. The cost will be shared equally among all the people who attend the party. For each number of attendees, write a numeric expression to determine how much each person will pay. Then evaluate the expression. a. 25 attendees b. 81 attendees c. 108 attendees d. Write an algebraic expression to represent how much each person will pay to attend the skate party.

Go to finance.yahoo.com, and find the monthly rates of return over a 2-year period for five companies of your choice. Now assume you form each month an equally weighted portfolio of the five firms (i.e., a portfolio with equal investments in each firm). What is the rate of return each month on your portfolio? Compare the standard deviation of the monthly portfolio return to that of each firm and to the average standard deviation accross the five firms. What do you conclude about portfolio diversification?

How can you display data in a way that helps you make decisions?

Using a parametric equation grapher, graph the equations over the given intervals.

$x=\sec t$ (enter as $1 / \cos (t)$ ), $y=\tan t$ (enter as $\sin (t) / \cos (t))$, over

$(c)$. $-0.1 \leq t \leq 0.1$

The Brannons are planning to sell their home. If they want to be left with $\$ 117,500$ after paying $6 \%$ of the selling price to a realtor as a commission, for how much must they sell their home?

Match the equation. y = -3/2x + 3

Use a graphing utility to graph the equation. In this case, find a viewing window that shows the important characteristics of the graph.

$y=-x^3-3 x^2+20 x+5$

Use a graphing utility to graph the equation. In this case, find a viewing window that shows the important characteristics of the graph.

$y=x^3-3 x^2+2 x+25$

A farmer grows a bushel of wheat and sells it to a miller for $1. The miller turns the wheat into flour and then sells the flour to a baker for$3. The baker uses the flour to make bread and sells the bread to an engineer for $6. The engineer eats the bread. What is the value added by each person? What is the bread's contribution to GDP?

Which of the following is a reserved word in C++? a. Const b. include c. Char d. void e. int f. Return