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amid [387]
3 years ago
5

What is the volume of the cone shown below?

Mathematics
2 answers:
ratelena [41]3 years ago
4 0
Your answer is A the guy who answered is right
maw [93]3 years ago
3 0

Volume = 1/3 * pi r^2 h

= 1/3 * pi * 8^2 * 78

= 1664 pi cu units

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3 years ago
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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and notice that

\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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which means

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