1. 10(.15)=1.5

Mathematics

1 answer:

Fed [463]3 years ago

3 0

Answer:

6.14125(0.15) = 0.9211875 (below 1)

6.14125 - 0.92118 = 5.22007

Step-by-step explanation:

Given data

1. 10(.15)=1.5

2. 10-1.5=8.5

3. 8.5 (.15)=1.275

4. 8.5-1.275=7.225

continuation the sequence

5) 7.225 (0.15) = 1.08375

6) 7.225 - 1.08375 = 6.14125

7) 6.14125(0.15) = 0.9211875 (below -one)

8 ) 6.14125 - 0.9211875 = 5.2200625 (get number 5)

9) 5.2200625(0.15) = 0.783009

10) 5.2200625 - 0.783009 = 4.4370532

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Which is an asymptote of the graph of the function y = cot ( x - 2pi / 3 )

vesna_86 [32]

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now, if the denominator turns to 0, the fraction becomes undefined, and you get a "vertical asymptote" when that happens, so let's check when is that

$\bf sin\left(x-\frac{2\pi }{3} \right)=0\implies sin^{-1}\left[ sin\left(x-\frac{2\pi }{3} \right) \right]=sin^{-1}(0)
\\\\\\
x-\frac{2\pi }{3}=
\begin{cases}
0\\
\pi 
\end{cases}\implies \measuredangle x=
\begin{cases}
\frac{2\pi }{3}\\
\frac{5\pi }{3}
\end{cases}$

now, at those angles, the function is asymptotic, check the picture below