and graph the solution set on a real number line. Express the solution set in interval notation.

philosphy111of
2021-11-26
Answered

Solve the polynomial inequality

${x}^{2}-2x+1>0$

and graph the solution set on a real number line. Express the solution set in interval notation.

and graph the solution set on a real number line. Express the solution set in interval notation.

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giskacu

Answered 2021-11-27
Author has **22** answers

Step 1

The given polynomial inequality is

To solve the inequality, find its critical points by equating it to zero.

Step 2

Now, make the sign analysis on Number line to determine about the inequality.

If

Answer: Hence, the interval notation for the given polynomial inequality is

asked 2021-09-08

Lynbrook West , an apartment complex , has 100 two-bedroom units. The montly profit (in dollars) realized from renting out x apartments is given by the following function.

$P\left(x\right)=-12{x}^{2}+2136x-41000$

To maximize the monthly rental profit , how many units should be rented out?

What is the maximum monthly profit realizable?

To maximize the monthly rental profit , how many units should be rented out?

What is the maximum monthly profit realizable?

asked 2021-02-05

Use polar coordinates to find the limit. [Hint: Let $x=r\mathrm{cos}{\textstyle \phantom{\rule{1em}{0ex}}}\text{and}{\textstyle \phantom{\rule{1em}{0ex}}}y=r\mathrm{sin}$ , and note that (x, y) (0, 0) implies r 0.]
$\underset{(x,y)\to (0,0)}{lim}\frac{{x}^{2}-{y}^{2}}{\sqrt{{x}^{2}+{y}^{2}}}$

asked 2022-01-25

I have a multivariable function that is composed of six variables; four of these are constants $C}_{1},{C}_{2},{C}_{3},{C}_{4$ and the other two variables are x and y. The function is defined as follows

$Xi(x,y,{C}_{1},{C}_{2},{C}_{3},{C}_{4})$ I would like to find the maximum value of $Xi$ over $x\in \{-\mathrm{\infty},\mathrm{\infty}\}$ and $y\in \{-\mathrm{\infty},\mathrm{\infty}\}$ . What is the rigorous mathematical notation I should use to describe this. Is this fine:

$max\left\{Xi(x,y,{C}_{1},{C}_{2},{C}_{3},{C}_{4})\right\}$

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Write formulas for the isometries in terms of a complex variable

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Evaluate the integral by making an appropriate change of variables.

asked 2021-11-13

Find the volume of the solid generated by rotating about the x-axis the region bounded by

$y={4}^{x},\text{}x=-3,\text{}x=3$

and the x-axis.

and the x-axis.

asked 2021-09-10

A real estate office handles a 60-unit apartment complex. When the rent is $530 per month, all units are occupied. For each $40 increase in rent, however, an average of one unit becomes vacant. Each occupied unit requires an average of $65 per month for service and repairs. What rent should be charged to obtain a maximum profit?