What is the difference between slope and average rate of change ?

1 answer:

8 0

The slope is the average rate of change of a line. for a line it was unique in the fact that the slope was constant. it didn’t change no matter what two points you calculated it for on the line.

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Answer: 5a+ 13

Step-by-step explanation:

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If u+v+w=0, show that u x v = v x w = w x u.

Flauer [41]

Take the cross product of both sides of $\mathbf u+\mathbf v+\mathbf w=\mathbf0$ with $\mathbf u,\mathbf v,\mathbf w$ to generate a system of three simultaneous equations.

$(\mathbf u+\mathbf v+\mathbf w)\times\left\{\begin{matrix}\mathbf u\\\mathbf v\\\mathbf w\end{matrix}\right\}=\mathbf0\times\left\{\begin{matrix}\mathbf u\\\mathbf v\\\mathbf w\end{matrix}\right\}$
$\implies\begin{cases}\mathbf u\times\mathbf u+\mathbf u\times\mathbf v+\mathbf u\times\mathbf w=\mathbf0\\\mathbf v\times\mathbf u+\mathbf v\times\mathbf v+\mathbf v\times\mathbf w=\mathbf0\\\mathbf w\times\mathbf u+\mathbf w\times\mathbf v+\mathbf w\times\mathbf w=\mathbf0\end{cases}$
$\implies\begin{cases}\mathbf u\times\mathbf v+\mathbf u\times\mathbf w=\mathbf0\\\mathbf v\times\mathbf u+\mathbf v\times\mathbf w=\mathbf0\\\mathbf w\times\mathbf u+\mathbf w\times\mathbf v=\mathbf0\end{cases}$

since $\mathbf x\times\mathbf x=\mathbf0$ for any vector $\mathbf x$ .

Finally, use the fact that the cross product is anticommutative, i.e. $\mathbf x\times\mathbf y=-\mathbf y\times\mathbf x$ . The conclusion follows.

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What three m minus 6 plus m with the power of 2 minus 5 m plus 1

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Step-by-step explanation:

If jelly beans cost $2.75 per pound then multiplying the cost per pound by the amount of jelly beans purchased will give the answer of $4.95 per 1.8 pounds of jelly beans.

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