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djyliett [7]
3 years ago
11

Can anyone help me with number 5 ??

Mathematics
1 answer:
emmasim [6.3K]3 years ago
7 0
72.5 weeks. if you subtract 1,000 from 2,450, you will have 1,450. now, divide this by 20. it is 72.5 weeks.
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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

f(x)=\displaystyle\sum_{n=1}^\infty nx^{n-1}

and notice that

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

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Answer: 4.5 pounds.

Step-by-step explanation:

Given : Weight of original pipe =45 pounds

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Let x be the length of other piece.

As length is directly proportional to weight.

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7 0
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