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Travka [436]
3 years ago
11

Find the measure of each angle using the triangle sum theorem and exterior angle theorem

Mathematics
1 answer:
Pani-rosa [81]3 years ago
5 0
Just add all the numbers together and then multiple it by 3
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Explain the purposes of inductive and deductive reasoning in mathematics. Be sure to define both inductive reasoning and deducti
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Which of these represents categorical data?
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Suppose 81^x = 64.What is 27^x+1?
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3 years ago
Find the half range Fourier sine series of the function
worty [1.4K]
The full range is -\pi (length 2L=2\pi), so the half range is L=\pi. The half range sine series would then be given by

f(x)=\displaystyle\sum_{n\ge1}b_n\sin\dfrac{n\pi x}L=\sum_{n\ge1}b_n\sin nx

where

b_n=\displaystyle\frac2L\int_0^Lf(x)\sin\dfrac{n\pi x}L\,\mathrm dx=\frac2\pi\int_0^\pi(\pi-x)\sin nx\,\mathrm dx

Essentially, this is the same as finding the Fourier series for the function

\begin{cases}g(x)=\begin{cases}\pi-x&\text{for }0

Integrating by parts yields

b_n=\dfrac2\pi\left(\dfrac\pi n-\dfrac{\sin n\pi}{n^2}\right)=\dfrac2n

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f(x)=\displaystyle\sum_{n\ge1}\frac{2\sin nx}n
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