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3 years ago

Find the value of x. Show work if you can

Mathematics

1 answer:

vova2212 [387]3 years ago

4 0

Answer:

Step-by-step explanation:

number of side = n =7

Sum of all the angles of given polygon = (n -2)*180 = 5 *180 = 900

x + 140 +133 +145 + 117 + 119 + 125 = 900

x + 779 = 900

x = 900 - 779

x = 121

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3 years ago

Find a power series representation for the function. (Give your power series representation centered at x=0 .) f(x)=15+x

Anna71 [15]

Answer:

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Step-by-step explanation:

Given

$f(x) = \frac{1}{5 + x}$

Required

The power series centered at $x = 0$

We have:

$f(x) = \frac{1}{5 + x}$

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Rewrite as:

$f(x) = \frac{\frac{1}{5}}{(1 + \frac{x}{5})}$

Further, rewrite as:

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Evaluate all exponents

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Open brackets

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Notice the pattern as:

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So, the power series is:

$f(x) = \sum\limits^{\infty}_{n=0} \frac{-(1)^n\cdot x^n}{5^{n+1}}$

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