Suppose the cross elasticity of demand for products A and B is 13.6 and for products C and D is 25.4. What can you conclude about how products A and B are related? Products C and D?

Use this technique to find each function value. Give exact values.

$$\tan \dfrac{\pi}{4}$$

Graph the solution set of the inequality, where x is an integer, on the number line. -2(x-1)<3(x-4)+5

A die is cast. What is the likelihood that the number 2 will be rolled if the number rolled is less than 5?

Underline the adjective clause, and circle the noun or pronoun it modifies.
Do you remember the time when we marched in the parade?

Work each problem.

A card is drawn from a well-shuffled deck of 52 cards. Find the probability that the card is red or a 3.

Copy the sentence below, underline the elliptical clause, and write the understood word.

Pecos ran faster than the other horses.

A company produces A, B, and C and can sell these products in unlimited quantities at the following unit prices: A, $10; B,$56; C, $100. Producing a unit of A requires 1 hour of labor; a unit of B, 2 hours of labor plus 2 units of A; and a unit of C, 3 hours of labor plus 1 unit of B. Any A that is used to produce B cannot be sold. Similarly, any B that is used to produce C cannot be sold. A total of 40 hours of labor are available. Formulate an LP to maximize the company’s revenues.

Use the limit comparison test to determine whether the series converges or diverges.

[Hint: $\left.\lim _{n \rightarrow \infty}(1+1 / n)^n=e.\right]$

$$\sum \frac{1}{n^4-7}$$

Solve each inequality and graph the solution set on a number line.

$$- 3 \leq 2 x + 1 < 6$$

Use the cross-derivative test, to determine whether each of the vector fields in the exercise is conservative. If it is, find an antiderivative.

$$\cos (x y) \mathbf{i}+y x \mathbf{j}-\sin (y z) \mathbf{k}$$

Solve the equation of change $\dfrac{d f}{d x}=5 f$ if the initial value of $f$ is 2 . Use the alternative form for exponential functions.

Underline the adjective clause, and circle the noun or pronoun it modifies.
The coin, which was shiny and new, was given to me by my grandfather.

Choose the correct form of comparison for given sentence.

At less than 200 a year, its average income is (lower, more lower) than incomes of almost any other country.