Work each problem. Find {16,18,21,50}∩{15,16,17,18}{16,18,21,50}∩{15,16,17,18}.

sjeikdom0
2021-09-19
Answered

Work each problem. Find {16,18,21,50}∩{15,16,17,18}{16,18,21,50}∩{15,16,17,18}.

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okomgcae

Answered 2021-09-20
Author has **93** answers

Determine the intersection of the two given sets.

$\{16,18,21,50\}\cap \{15,16,17,18\}=\{16,18\}$

asked 2022-04-18

How do i solve

$\mathrm{sin}\left(8x\right)-\mathrm{cos}\left(6x\right)=\sqrt{3}(\mathrm{sin}\left(6x\right)+\mathrm{sin}\left(8x\right))$

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Use a scatterplot and the linear correlation coefficient r to determine whether there is a correlation between the two variables.

$$\begin{array}{|cccccc|}\hline x& 1& 0& 5& 2& 3\\ y& 3& 1& 15& 6& 8\\ \hline\end{array}$$

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What interger operation is modeled below?

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What is the derivative of the work function?

asked 2022-05-19

Under what conditions a rational function has bounded derivative?

This question arise to me when considering the following theorem:

If $f\in {C}^{1}(I,\mathbb{R})$ where I is an interval then:

f is globally lipschitz

$\phantom{\rule{thickmathspace}{0ex}}\u27fa\phantom{\rule{thickmathspace}{0ex}}\mathrm{\exists}L\ge 0.\mathrm{\forall}t\in I.|{f}^{\prime}(t)|\le L$

So taking rational function $f(x)=\frac{p(x)}{q(x)}$ we have ${f}^{\prime}(x)=\frac{{p}^{\prime}(x)q(x)-p(x){q}^{\prime}(x)}{q(x{)}^{2}}$.

My view

I think I should assume that $f:\mathbb{R}\to \mathbb{R}$ so that $\mathrm{\forall}x\in \mathbb{R}.{q}^{\prime}(x)\ne 0$ (however this doesn't seem to be necesary). And then perhaps a condition on the degree guarantees boundedness...

This question arise to me when considering the following theorem:

If $f\in {C}^{1}(I,\mathbb{R})$ where I is an interval then:

f is globally lipschitz

$\phantom{\rule{thickmathspace}{0ex}}\u27fa\phantom{\rule{thickmathspace}{0ex}}\mathrm{\exists}L\ge 0.\mathrm{\forall}t\in I.|{f}^{\prime}(t)|\le L$

So taking rational function $f(x)=\frac{p(x)}{q(x)}$ we have ${f}^{\prime}(x)=\frac{{p}^{\prime}(x)q(x)-p(x){q}^{\prime}(x)}{q(x{)}^{2}}$.

My view

I think I should assume that $f:\mathbb{R}\to \mathbb{R}$ so that $\mathrm{\forall}x\in \mathbb{R}.{q}^{\prime}(x)\ne 0$ (however this doesn't seem to be necesary). And then perhaps a condition on the degree guarantees boundedness...

asked 2022-04-30

Prove this

$\mathrm{sin}\left({495}^{\circ}\right)-\mathrm{sin}\left({795}^{\circ}\right)+\mathrm{sin}\left({1095}^{\circ}\right)=0$

asked 2021-02-26

Find the product of the complex numbers.Leave answers in polar form.

${z}_{1}=1+i$

${z}_{2}=-1+i$