pro4ph5e4q2
2021-12-06
Answered

Solve absolute value inequality : $|2-\frac{x}{2}|-1\le 1$

You can still ask an expert for help

pendukke

Answered 2021-12-07
Author has **9** answers

Step 1

Given:

for finding solution of it, we simplify given inequality

Step 2

so,

we know that

if,

Step 3

similarly,

so, solution of given inequality will be

hence, solution will be

asked 2022-05-24

Given ${x}^{2}-xy+{y}^{2}=15,xy+x+y=13$ find the value of ${x}^{2}+6y$

asked 2021-10-28

Use factor formula to show that

asked 2022-01-23

If a die is rolled 30 times, there are $6}^{30$ different sequences possible.

What fraction of these sequences have exactly eight 1s and eight 6s?

What fraction of these sequences have exactly eight 1s and eight 6s?

asked 2021-12-06

To find:

The sum of two integers.

Given:

124+(-144).

The sum of two integers.

Given:

124+(-144).

asked 2022-05-24

E.g. the equation is

$u(x)=f(x){u}^{\prime}(x)$

Is there a general form of solving such an equation?

If not, is there a general form for $f(x)$ being a linear function?

$u(x)=f(x){u}^{\prime}(x)$

Is there a general form of solving such an equation?

If not, is there a general form for $f(x)$ being a linear function?

asked 2022-03-30

$\alpha$ and $\beta$ are the roots of the quadratic equation.

$\omega \ne 1$ and ${\omega}^{13}=1$

If $\alpha =\omega +{\omega}^{3}+{\omega}^{4}+{\omega}^{-4}+{\omega}^{-3}+{\omega}^{-1}$

$\beta ={\omega}^{2}+{\omega}^{5}+{\omega}^{6}+{\omega}^{-6}+{\omega}^{-5}+{\omega}^{-2}$,

then quadratic equation, whose roots are $\alpha$ and $\beta$ is:

I tried finding the sum and product of roots and placing in the equation ${x}^{2}-(\alpha +\beta )x+(\alpha \times \beta )=0$ but I was not able to solve for it.

asked 2022-05-30

Is there any nonempty, compact and invariant set in dynamical system generated by this system of equations?

${x}^{\prime}=x+\mathrm{sin}(xy+2)-7$

My idea is to use this fact: Not empty omega limit set - because here we have also bounded functions and omega limit set is invariant. But it's hard to say anything about compactness.

${x}^{\prime}=x+\mathrm{sin}(xy+2)-7$

My idea is to use this fact: Not empty omega limit set - because here we have also bounded functions and omega limit set is invariant. But it's hard to say anything about compactness.