Solve the problem.Use Newton's method to estimate the solutions of the equation
. Start with
for the right-hand solution and with
for the solution on the left. Then, in each case find x2.
What will be an ideal response?
f(x) = 2x - 3x2 + 1, f '(x) = 2 - 6x
Right-hand solution:
x1 = 1.5
xn + 1 = xn - =
therefore x2 = 1.1071
Left-hand solution:
x1 = -1
xn + 1 = xn - =
therefore x2 = -0.5000
Mathematics
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A.
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