Can someone plz help me?

Mathematics

1 answer:

Scilla [17]3 years ago

3 0

The y intercept is 120 cause that’s where the line goes through on the graph

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Diffrentiate between save and save as

Ainat [17]

Step-by-step explanation:

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3 years ago

Read 2 more answers

A.If a new series is found by differentiating a known series with included endpoints, those endpoints might not be included in t

Aleonysh [2.5K]

Consider the power series

$\displaystyle\sum_{n\ge1}\dfrac{x^n}n$

By the ratio test, this series converges for

$\displaystyle\lim_{n\to\infty}\left|\frac{x^{n+1}}{n+1}\cdot\frac n{x^n}\right|=|x|\lim_{n\to\infty}\frac n{n+1}=|x|$

though we know by the alternating series test that the series converges for $x=-1$ .

So this series converges for $-1\le x$ .

Differentiating the series yields

$\displaystyle\frac{\mathrm d}{\mathrm dx}\sum_{n\ge1}\frac{x^n}n=\sum_{n\ge1}x^{n-1}=\sum_{n\ge0}x^n$

which is the geometric series. We know this series converges for $|x|$ , and this time the endpoints are not included.

This example shows that (A) is certainly possible; that is, $x=-1$ is valid in the first series, but not in the differentiated one.

- - -

Now consider the series

$\displaystyle\sum_{n\ge0}\dfrac{x^n}{n!}$

which we know to converge to $e^x$ .

Differentiating, we get

$\displaystyle\frac{\mathrm d}{\mathrm dx}\sum_{n\ge1}\frac{x^{n-1}}{(n-1)!}=\sum_{n\ge0}\frac{x^n}{n!}=e^x$

as expected. But both series converge everywhere, so this serves as a counter-example to the claim of B. So B is false.

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4 years ago

Which equivalent form of g(x)=2x^2-12x-54 is the best form to find the zeros of the function?

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Answer:

g(x)=2(x-9)(x+3)

Step-by-step explanation:

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3 years ago

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lidiya [134]

Answer:

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Step-by-step explanation:

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3 years ago

The distance, d, in kilometres, travelled by a plane after t hours can be represented by d(t)=-4t³=40t²+500t, where t is greater

Ede4ka [16]

D(t) = -4t^3 + 40t^2 + 500t = 4088
4t^3 - 40t^2 - 500t + 4088 = 0
t = 7

Therefore, the plane has flown 4088 km 7 hours after it took off.

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4 years ago