The ancient Babylonians (circa 1700 B.C.) approximated  by applying the formula a. Show th...

The ancient Babylonians (circa 1700 B.C.) approximated  by applying the formula

a. Show that this formula can be derived from the formula for Newton’s method in Exercise 33, and then use it to estimate  Repeat the formula until two consecutive approximations agree to four decimal places. Use your calculator to check your result.

b. The spy (Exercise 74, Section 2.2) wakes up one morning in Babylonia and finds that his calculator has been stolen. Create a spy story problem based on using the ancient formula to compute a square root.