The distance you are from the band and how loud it sounds to you are related.

Find each integral by using the integral table on the inside back cover. $\int \frac{z}{z^{4}-4} d z$

A mass $M$ located at the origin exerts an attractive force

$$\mathbf{F}(\mathbf{r})=-G \frac{m M}{r^3} \mathbf{r}$$

on a mass $\mathrm{m}$ located at the tip of the radius vector $\mathbf{r}=x \mathbf{i}+$ $y \mathbf{j}+z \mathbf{k}$. Find the flux of $\mathbf{F}$ into the sphere $x^2+y^2+z^2=a^2$.

Find the distance between P and Q.

$$P(12 y,-3 y), Q(20 y, 12 y), \quad y>0$$

Base your answers to questions on the following data table. Samples of three different rock materials, $\mathbf{A}, \mathbf{B}$, and $\mathrm{C}$, were placed in different containers of water and shaken vigorously for 20 minutes. At 5-minute intervals, the contents of each container were strained through a sieve screening- The mass of the material remaining in the sieve was measured and recorded as shown in the data table.

Calculate the rate of change in the mass of rock material $\mathrm{C}$ at the end of the 20 minutes. [1]

Find each integral by using the integral table on the inside back cover. $\int x^{3} e^{2 x} d x$

Distances that professional golfers hit the ball off the tee (the "drive") are approximately normally distributed with a mean of 287 yd and a standard deviation of 9 yd. Approximately what percent of drives carry at least 275 yd?

Isaiah added 196 to both sides of the equation $x^2+16 x+60=0$ so he could make the perfect square. What error did he make?

Contours Co. is experiencing a decrease in sales and operating income for the fiscal year ending July 31, 2012. Mark Irwin, controller of Contours Co., has suggested that all orders received before the end of the fiscal year be shipped by midnight, July 31, 2012, even if the shipping department must work overtime. Since Contours Co. ships all merchandise FOB shipping point, it would record all such shipments as sales for the year ending July 31, 2012, thereby offsetting some of the decreases in sales and operating income. Discuss whether Mark Irwin is behaving in a professional manner.

Mets chaque animal dans la categorie qui convient.

$$\begin{array}{|llll|} \hline \text { un aigle } & \text { le crocodile } & \text { une guepe } & \text { un papillon } \\ \text { un dauphin } & \text { un heron } & \text { une meduse } & \text { une abeille } \\ \hline \end{array}$$

$$\begin{array}{|l|l|l|} \hline \text { Oiseaux } & \text { Insectes } & \text { Animaux aquatiques } \\ \hline & & \\ & & \\ & & \\ \hline \end{array}$$

Most of the following sentences contain an incorrect form of a modifier. Draw a line through each incorrect modifier. Then, above it, write the correct form. If a sentence is already correct, write C after it.

Examples

1. The quarterback didn’t feel $\overset{\textit{\color{#c34632}{well}}}{\sout{\text{good}}}$, so he rested all weekend.

2. If a player doesn’t practice $\overset{\textit{\color{#c34632}{faithfully}}}{\sout{\text{faithful}}}$ enough, he or she won’t be ready for the game.

If the team plays good, the coach will be happy.

The standard deviation of all professional NBA basketball players is 29.9 pounds. A sample of 50 professional basketball players has a standard deviation of 26.7 pounds. which number is $\sigma$, and which number is s?

Find the distance between each pair of points. A(3,8) B(-1,-4)

Find the distance from $(3,−1, 2)$ to the plane $5x − y − z = 4$.