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The root of the equation f (x) = 0 is found by using the Newton's method. The initial estimate of the root is x, = 3,f (3) = 5. The angle between the tangent to the function f (x) at x = 3 and the positive x-axis is 57°. The next estimate of the root, x1 is most nearly O -0.24704 O 3.2470 O -3.2470 O 6.2470

The root of the equation f (x) = 0 is found by using the Newton's method. The initial estimate of the root is x, = 3,f (3) = 5. The angle between the tangent to the function f (x) at x = 3 and the positive x-axis is 57°. The next estimate of the root, x1 is most nearly O -0.24704 O 3.2470 O -3.2470 O 6.2470

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 90E
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1 55% O 4:31 PM The root of the equation f (x) = 0 is found by using the Newton's method. The initial estimate of the root is x, = 3,f (3) = 5. The angle between the tangent to the function f (x) at x = 3 and the positive x-axis is 57°. The next estimate of the root, x, is most nearly O -0.24704 3.2470 -3.2470 O 6.2470 For a given function f(x), the divided -differences table is given by: X = 1 X = 2 f[xa] = a f(x] f[xo, x1] = c f[x,x;] = - f[x] = = X = 3 The value of a is: O 101/105 1/7 -1/7 O -3/70
Transcribed Image Text:1 55% O 4:31 PM The root of the equation f (x) = 0 is found by using the Newton's method. The initial estimate of the root is x, = 3,f (3) = 5. The angle between the tangent to the function f (x) at x = 3 and the positive x-axis is 57°. The next estimate of the root, x, is most nearly O -0.24704 3.2470 -3.2470 O 6.2470 For a given function f(x), the divided -differences table is given by: X = 1 X = 2 f[xa] = a f(x] f[xo, x1] = c f[x,x;] = - f[x] = = X = 3 The value of a is: O 101/105 1/7 -1/7 O -3/70
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