use newtons method to find the roots of the equation

sinx=x^(2)+3^(x)-1

correct to sic decimal places

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- Dec 7th 2008, 01:11 PMthecountnewton's method
use newtons method to find the roots of the equation

sinx=x^(2)+3^(x)-1

correct to sic decimal places - Dec 7th 2008, 08:36 PMCaptainBlack
Newton's methof gives us an itterative methof for finding a root of the equation . This is:

So for this we have:

with:

Now you need an initial guess, well there is an obvious root at , and a bit of investigation suggests that there is another root to the left of this, so we could take an initial guess .

CB - Dec 8th 2008, 12:05 AMJameson
You should understand the theory behind this method, but here is a cool online tool to help check if you're doing it correctly.

Newton's Method

Don't cheat though!