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A. Graph the curves y(x) = x + cos(¼x) and y(x) = x + cos(4x)

B. For what values of a will h(x) have a relative maximum at x = 1?

C. Which values of a make h(x) strictly decreasing? Justify your answer.

I need help with A and C. Already got B.

How far did you get ? Can you use Geogebra or other plotting tool?

or do you have to do it by hand ?

Didn't even think about using a graphing tool for part A. I'll do that now.

Alright I got part A now, can you help me with C?

I think we might need to use the work I did for part B so i'll post it.

strictly decreasing means as x increases f(x) gets smaller.

I don't see how to be decreasing when we are adding x

That's what I thought too, but how should I justify?

So then it would only be 1.1 and 2.8?

and + not -

yes. But how did you find those values?

http://www.wolframalpha.com/input/?i=1%3D+a+sin%28a%29

oh, because it looks hard to solve (without the wolf)

exactly, that's why I used it

Alright, well thanks for your help!