not sure how to do this question:
Approximate the zeros of each function(only gonna show one, the other i'll attempt)
f(x) = 1/4x3-2x2-2x+12
the smaller numbers are the powers
First sketch the function, see attachment. The function is a cubic andOriginally Posted by impreza02
so will have no more than three zeros. From the sketch we can see that
these will be close to and .
Now we will refine these estimates of the zeros using Newton Raphson
iteration. Which is the iteration:
Using our function gives:
For , this gives:
So the root near is .
For , this gives:
So the root near is .
For , this gives:
So the root near is .
RonL