Solve the equation. Check your solution: -2 = p -1

If a lamina occupies a plane region D and has density function p(x,y), write expressions for each of the following in terms of double integrals. The moments about the axes

Write the number in standard form. 4. 1.6 x 10ˉ²

What do the curved concentric lines on weather forecast maps show? A. The lines show the direction in which the wind will blow B. The lines show where rain will fall C. The lines connect points of equal temperature D. The lines connect points of equal air pressure.

Find the slope of the storage shed's roof.

How is the central tendency used to evaluate data?

The next number in the series 13, 18, 16, 21, 19,

Which poem more effectively tells a story? Which poem is more successful at creating a mood? Support your answers with evidence.

Describe a rule for each pattern. 35, 70, 105, 140,...

We can extend our definition of average value of a continuous function to an infinite interval by defining the average value of f on the interval [a, ∞) to be lim t→∞ 1/t-a ^t∫a f(x) dx. Find the average value of y = sin x on the interval [0, ∞).

If P is a fixed n x n matrix, then the similarity transformation

$$A→P^{-1}AP$$

can be viewed as an operator

$$S_P(A) = P^{-1}AP$$

on the vector space

$$M_{nn}$$

of n x n matrices. Find the rank of

$$S_P.$$

Factor the following expressions completely over the real numbers.

$$x^2+3x-4$$

There are four candidates for homecoming queen and three candidates for king. How many king-queen pairs are possible?

Solve each inequality algebraically.

$$x^2-9x<-20$$