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pentagon [3]
3 years ago
13

Use the graph of the function to find the domain and range of f.

Mathematics
1 answer:
Alik [6]3 years ago
5 0
The domain is the x-values u insert to get corresponding y-values. In other words, the domain is the boundaries for which u can enter x valies. In this graph, we can see that the function continues infinitely upwards, not vertical shifting a bit to the sides. This means that the domain is all x belonging to the set R, since for any x value, we will get a corresponding point on the graph. For the range, it is simply the range of the y-values. From the graph, teh range is -4
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If f (n)(0) = (n + 1)! for n = 0, 1, 2, , find the taylor series at a=0 for f.
Pie
Given that f^{(n)}(0)=(n+1)!, we have for f(x) the Taylor series expansion about 0 as

f(x)=\displaystyle\sum_{n=0}^\infty\frac{(n+1)!}{n!}x^n=\sum_{n=0}^\infty(n+1)x^n

Replace n+1 with n, so that the series is equivalent to

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\displaystyle\frac{\mathrm d}{\mathrm dx}\sum_{n=0}^\infty x^n=\sum_{n=1}^\infty nx^{n-1}

Recall that for |x|, we have

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5 0
3 years ago
Is 2 to the power of 3 bigger then the square root of 5?
BARSIC [14]

Answer:

Yes.

Step-by-step explanation:

Let's write out each problem:

\sqrt{5} = 2.3

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Now that we have both answers to each expression, we can tell that 2^3, in fact, is larger than the square root of 5.

So your answer is, "Yes, 2^3 is bigger than the square root of 5.

Feel free to give brainlest.

Have an amazing day!

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