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gladu [14]
3 years ago
6

What is the surface area and volume of this prism?

Mathematics
2 answers:
timurjin [86]3 years ago
7 0
Surface Area = 2×(15×10 + 15×8 + 10×8) = <span>700 foot<span>2</span></span>
NeX [460]3 years ago
7 0
Volume is 8*10*15 because height times width times length
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Find maclaurin series
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Recall the Maclaurin expansion for cos(x), valid for all real x :

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\displaystyle \cos\left(\sqrt 5\,x\right) = \sum_{n=0}^\infty (-1)^n \frac{\left(\sqrt5\,x\right)^{2n}}{(2n)!} = \sum_{n=0}^\infty (-5)^n \frac{x^{2n}}{(2n)!}

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In case you did mean cos(√(5x)), we would instead end up with

\displaystyle \cos\left(\sqrt{5x}\right) = \sum_{n=0}^\infty (-1)^n \frac{\left(\sqrt{5x}\right)^{2n}}{(2n)!} = \sum_{n=0}^\infty (-5)^n \frac{x^n}{(2n)!}

which amounts to replacing the x with √x in the expansion of cos(√5 x) :

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2 years ago
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100 `('-')`

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