Let f(x) =x3 −x2 −1.
a. Use your graphing utility to graph f(x). Note that there is only one root located between 1 and 2. Use ZOOM and TRACE or other utility features to find the root.
b. Using x0 = 1, estimate the root by applying Newton’s method until two consecutive approximations agree to four decimal places.
c. Take the root you found graphically in part (a) and the root you found by Newton’s method in part (b) and substitute each into the equation f(x) = 0. Which is more accurate?
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