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3 years ago

14

Explain this words in form of trigonometry graphs

1 answer:

stira [4]3 years ago

7 0

ANSWER: Midline: is the horizontal line that passes exactly in the middle between the graphs maximum and minimum points.

Amplitude: is the vertical distance between the midline and one of the extremum points.

Period: is the distance between two consecutive maximum points or two consecutive minimum points (these distances must be equal). HOPE THIS HELPS!

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Lelu [443]

Answer:

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Step-by-step explanation:

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3 years ago

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Step-by-step explanation:

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3 years ago

If lim x-> infinity ((x^2)/(x+1)-ax-b)=0 find the value of a and b

MAXImum [283]

We have

$\dfrac{x^2}{x+1}=\dfrac{(x+1)^2-2(x+1)+1}{x+1}=(x+1)-2+\dfrac1{x+1}=x-1+\dfrac1{x+1}$

So

$\displaystyle\lim_{x\to\infty}\left(\frac{x^2}{x+1}-ax-b\right)=\lim_{x\to\infty}\left(x-1+\frac1{x+1}-ax-b\right)=0$

The rational term vanishes as <em>x</em> gets arbitrarily large, so we can ignore that term, leaving us with

$\displaystyle\lim_{x\to\infty}\left((1-a)x-(1+b)\right)=0$

and this happens if <em>a</em> = 1 and <em>b</em> = -1.

To confirm, we have

$\displaystyle\lim_{x\to\infty}\left(\frac{x^2}{x+1}-x+1\right)=\lim_{x\to\infty}\frac{x^2-(x-1)(x+1)}{x+1}=\lim_{x\to\infty}\frac1{x+1}=0$

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3 years ago

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Answer:

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Step-by-step explanation:

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2 years ago

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Step-by-step explanation:

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