Answered: 1 2 3 4 5 6 f(x) 3 6 11 30 75 158 291…

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1 2 3 4 5 6 f(x) 3 6 11 30 75 158 291 f(x) = f'(x) = f" (ε) f"'(x) = f(0.5) f'(0.5) f"(0.5)

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter1: Equations And Inequalities

Section1.CT: Chapter Test

Problem 5CT: Solve for x: z=x.

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Question

Use Lagrange Interpolation to find an interpolating polynomial of degree three that passes through all the following points.

1
2
3
4
5
6
f(x)
3
6
11
30
75
158
291
f(x) =
f'(x) =
f" (ε)
f"'(x) =
f(0.5)
f'(0.5)
f"(0.5)

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