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Mathematics 16 Online
OpenStudy (anonymous):

HELPPPP

OpenStudy (anonymous):

OpenStudy (anonymous):

What do you need help with?? Where are you stuck?

OpenStudy (mertsj):

minimum points of what?

OpenStudy (anonymous):

f(x) = cos 2x − 2 sin x

OpenStudy (anonymous):

what she said

OpenStudy (anonymous):

Are you guys doing the same problem or something??

OpenStudy (anonymous):

Gals*

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

OpenStudy (anonymous):

Ahh I dont know the answer sorry.

OpenStudy (anonymous):

it's okay

OpenStudy (anonymous):

thanks anyway :)

OpenStudy (anonymous):

Np :D

OpenStudy (anonymous):

without using a graphing package, you can differentiate f' = -2sin(2x) - 2cosx the maximum height will occur when f'=0, that is -2sin(2x) - 2cosx = 0; divide through by -2 sin(2x) + cosx = 0; expand sin(2x) 2sinx.cosx + cosx = 0; divide through by cosx 2sinx + 1 = 0 2sinx = -1 sinx = -1/2, so the stationary points on the graph will occur for reference angle pi/6, with two values of x, one between pi & 3pi/4 & the other between 3pi/4 & 2pi. I'm a bit short of time, so plug those values into your calculator to find your answer - it's likely that one will be a maximum & the other a minimum.

OpenStudy (mertsj):

Wolfram says min is -3 at x = pi/2 +2npi

OpenStudy (mertsj):

Which makes sense because min of cos2x is -1 and max of sin is 1 so max of 2sin is 2 and -1-2 is -3

OpenStudy (anonymous):

i dont understand, what would be x? for max

OpenStudy (mertsj):

I thought you wanted the minimum?

OpenStudy (anonymous):

i need both

OpenStudy (mertsj):

Since you are subtracting, the minimum of the function will be when the first term is a minimum and the second term is a maximum. What is the minimum value for cos2x? What is the maximum value for 2sinx? Subtract. That will be your minimum

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