Could somebody help me get started on this question. I'm not sure how to approach it.
http://imgur.com/jFTM2qM

Question

Could somebody help me get started on this question. I'm not sure how to approach it.
http://imgur.com/jFTM2qM

henryblah · Answer

I tried the obvious f(x)=sinx-x^2 and it didn't help much.

anonymous · Answer

Plug in what they give you for r into all the r's in the given equation$$\left| \sin (\sqrt{15}-3)-(\sqrt{15}-3)^{2} \right|<\frac{ 1 }{ 200 }$$
From there plug in your calculator$$\sin (\sqrt{15}-3)$$
Then multiply$$(\sqrt{15}-3)(\sqrt{15}-3)$$

henryblah · Answer

Hmm Math processing error :/

henryblah · Answer

ahh ok i can read it on chrome

anonymous · Answer

you couldn't see what I wrote?

henryblah · Answer

But I can't use a calculator

anonymous · Answer

The teacher said no calculators?, or you do not have a calculator?

henryblah · Answer

It's a past paper. And the exam does not allow calcs

anonymous · Answer

oh, well that makes it a whole lot more challenging.  alright first multiply out$$(\sqrt{15}-3)(\sqrt{15}-3)$$By using the distributive property.$$(\sqrt{15})(\sqrt{{15}}),(\sqrt{15})(-3),(-3)(\sqrt{15}),(-3)(-3)$$

henryblah · Answer

Is there a specific taylor polynomial I have to try

anonymous · Answer

Sorry, taylor polynomials is something I haven't covered in my class yet.  I didn't read your question thoroughly.