Question

PLEASE HELP (100 POINTS)

Answer 1

I think the third answer.

Hope it can help you.

Answer 2

`\\ \rm\Rrightarrow f(x)=-5cos(x)/(2)+5`

Compare to standard equation of SHM

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

Here

• Amplitude=A=-5

`\\ \rm\Rrightarrow \omega x=(x)/(2)`

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

Well the above one are for extra knowledge .

Solution:-

`\\ \rm\Rrightarrow 10=-5cos(x)/(2)+5`

`\\ \rm\Rrightarrow 10-5=-5cos(x)/(2)`

`\\ \rm\Rrightarrow 5=-5cos(x)/(2)`

`\\ \rm\Rrightarrow cos(x)/(2)=-1`

`\\ \rm\Rrightarrow (x)/(2)=cos^(-1)(-1)`

`\\ \rm\Rrightarrow (x)/(2)=\pi`

`\\ \rm\Rrightarrow x=2\pi`

So.

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