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aniked [119]
2 years ago
8

PLEASE HELP (100 POINTS)

Mathematics
2 answers:
Drupady [299]2 years ago
4 0

Answer:

I think the third answer.

Hope it can help you.

Artyom0805 [142]2 years ago
3 0

\\ \rm\Rrightarrow f(x)=-5cos\dfrac{x}{2}+5

Compare to standard equation of SHM

\\ \rm\Rrightarrow y=Acos(\omega x+\phi)

Here

  • Amplitude=A=-5

\\ \rm\Rrightarrow \omega x=\dfrac{x}{2}

\\ \rm\Rrightarrow \omega=1/2

Well the above one are for extra knowledge .

Solution:-

\\ \rm\Rrightarrow 10=-5cos\dfrac{x}{2}+5

\\ \rm\Rrightarrow 10-5=-5cos\dfrac{x}{2}

\\ \rm\Rrightarrow 5=-5cos\dfrac{x}{2}

\\ \rm\Rrightarrow cos\dfrac{x}{2}=-1

\\ \rm\Rrightarrow \dfrac{x}{2}=cos^{-1}(-1)

\\ \rm\Rrightarrow \dfrac{x}{2}=\pi

\\ \rm\Rrightarrow x=2\pi

So.

\\ \rm\Rrightarrow x=2\pi+2\pi n

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