Use your book or dictionary to define each term. Law _____.

Find a basis of the space of solutions in R^n of the equation

$$x_1 + 2x_2 + 3x_3 + \ldots + nx_n = 0.$$

What is the empirical formula and empirical formula mass for each of the following compounds? C2H4

Apply a cusum control chart to the data in earlier exercise.

Two people exert the forces shown on the potted shrub. Determine the vector expression for the resultant R of the forces and determine the angle which the resultant makes with the positive y-axis

Both situations have the same expected value. Find the missing information. Situation 1: Paul hits a dart target worth 15 points 45% of the time. Situation 2: He hits a dart target worth 10 points x% of the time.

Again using Appendix F, which planet(s) might you expect not to have significant seasonal activity? Why?

Graph each function. y=|3 x|

A quadratic relation has roots 0 and -6 and a maximum at (-3, 4). Determine the equation of the relation.

(a) How is Bottom transformed? (b) Is Bottom aware of his transformation? Explain. (c) Does the transformation alter Bottom's personality as well as his appearance? Why or why not?

Either evaluate the given improper integral or show that it diverges. $\int_{0}^{+\infty} x^{2} e^{-x} d x$

Use the given information about the angle $\theta$ to find the exact value of a. $\sin 2 \theta .$ b. $\cos 2 \theta .$ c. $\tan 2 \theta.$ $\tan \theta = - 2 , \frac { \pi } { 2 } < \theta < \pi$

Find the arc length of the curve over the given interval. $r=6 \cos \theta, 0 \leq \theta \leq 2 \pi.$ Check your answer by geometry.

Mentally calculate each quotient. Write each answer as a decimal number.

$$2.5\div100$$