use newtons method to find the roots of the equation
sinx=x^(2)+3^(x)-1
correct to sic decimal places
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
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!