Alculate two iterations of Newton's Method to approximate a zero of the function using the given initial guess. (Round your answers to three decimal places.)

f(x) = x5 − 5, x1 = 1.6

, ,

Explanation:

The expression for the approximation via Newton's Method has the following form:

The function and its derivative are, respectively:

After substituting the known variable, the Newton's expression is left as follows:

The first two iterations are presented herein:

atomic number of carbon is 6

electronic configuration of carbon is 1s²2s²2p²

orbital diagram of carbon is as shown here in the image.