1. (a)
Show that if we apply Newton’s method to the equation x3 − 10x2 + 12x − 1 = 0, we get the iterative formula for finding roots.
(b)Use the formula in part (a) with initial value x1 = 0 to approximate a root of x3 −10x2 +12x−1 =0 accurate to 4 decimal places.
(b)
Use the formula in part (a) with initial value x1 = 0 to approximate a root of x3 −10x2 +12x−1 =0 accurate to 4 decimal places.
1 A Show That If We Apply Newton S Method To The Equation X3 10x2 12x 1 0 We Get The Iterative Formula For F 1 (17.5 KiB) Viewed 10 times
1. (a) Show that if we apply Newton's method to the equation 2³ - 10r² + 12x − 1 = 0, we get the iterative formula for finding roots. In+1 = 2.7³ 10x²+1 3r²-20 +12 (b) Use the formula in part (a) with initial value ₁ = 0 to approximate a root of 2³. 10z² + 12r-1=0 accurate to 4 decimal places.
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