Find the equation of the surface.

A cylinder of radius $\sqrt{7}$ with its axis along the $y$-axis.

Which of the following compounds are likely to be electrolytes and which are likely to be nonelectrolytes? $\mathrm{CuBr}_2$, $\mathrm{C}_{12} \mathrm{H}_{22} \mathrm{O}_{11}, \mathrm{CH}_3 \mathrm{OH}$, iron(II) chloride, $\left(\mathrm{NH}_4\right)_2 \mathrm{SO}_4$.

"It Takes Life" Here is a message from beyond the grave from a very outspoken old woman. How do you feel about Lucinda's advice?

A barrel of diameter 134.122 cm at $20^{\circ} \mathrm{C}$ is to be enclosed by an iron band. The circular band has an inside diameter of 134.110 cm at $20^{\circ} \mathrm{C}$. It is 7.4 cm wide and 0.65 cm thick. What will be the tension in the band when it cools to $20^{\circ} \mathrm{C} ?$

After being ranked one of the best cities in which to live by a national publication, Northfield Heights experienced a rise in population that could be modeled by $p(t)=\frac{36 t^{3}-12 t+13}{3 t^{3}+90},$ where p is the total rise in population in thousands and t is the number of years after 2006.

$$\begin{array}{|c|c|} \hline \text { Years since 2006 } & \text { Rise in Population } \\ \hline 1 & ? \\ \hline 2 & ? \\ \hline 3 & ? \\ \hline \end{array}$$

What was the total rise in population by 2011?

Suppose the kick is attempted 36.0 m from the goalposts, whose crossbar is 3.00 m above the ground. If the football is directed correctly between the goalposts, will it pass over the bar and be a field goal? Show why or why not.

Using the discussion earlier, answer the questions below:

(a) Whom does she address at the end of the poem?

(b) What is the meaning of Matlock's message to those she addresses?

A barrel of diameter 134.122 cm at $20^{\circ} \mathrm{C}$ is to be enclosed by an iron band. The circular band has an inside diameter of 134.110 cm at $20^{\circ} \mathrm{C}$. It is 7.4 cm wide and 0.65 cm thick. To what temperature must the band be heated so that it will fit over the barrel?

Under what conditions is the thermal resistance of the tube in a heat exchanger negligible?

For each of the given situations, indicate whether you think the action is ethical or unethical or you are unsure. Do not read ahead; do not go back and change your answers .

Consider an experiment where a single 10 -sided die is rolled with the outcomes 1, 2, 3, 4, 5, 6, 7, 8, 9, 10. Determine the probability of each event. A number greater than 10 is rolled.

Many organ pipes in old European churches ate made of tin. In cold climates such pipes can be affected with tin pest, when the tin becomes brittle and crumbles into a gray powder. This transformation can appear to take place very suddenly because the presence of the gray powder encourages the reaction to proceed. The rate of the reaction is pepportional to the product of the amount of tin left and the quantity of gray powder, $p$ present at time $t$. Assume that when metallic tin is converted to gray powder, its mass does not change.

(c ) Suppose there is no gray powder initially. (For example, suppose the tin is completely new.) What does this model predict will happen? How do you reconcile this with the fact that many organ pipes do get tin pest?

In the absence of friction, explain why the horizontal component of a projectile's velocity is a constant. Which hits the ground first?

A cartridge for a shotgun, called a shell, contains numerous ball-shaped projectiles, called $\rule{1cm}{1pt}$.