3. Given the following data: 0.1 0.2 0.3 0.4 f(x) -0.29004986 -0.56079734 -0.81401972 -0.10100000 (a) Present this data in a divided difference table. (b) Construct a Newton's interpolating polynomial of degree 3 using this table. (c) Approximate f(0.15) and f (0.28) using (b) above.

3. Given the following data: 0.1 0.2 0.3 0.4 f(x) -0.29004986 -0.56079734 -0.81401972 -0.10100000 (a) Present this data in a divided difference table. (b) Construct a Newton's interpolating polynomial of degree 3 using this table. (c) Approximate f(0.15) and f (0.28) using (b) above.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 94E

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Question

3. Given the following data:
0.1
0.2
0.3
0.4
f(x) -0.29004986
-0.56079734
-0.81401972
-0.10100000
(a) Present this data in a divided difference table.
(b) Construct a Newton's interpolating polynomial of degree 3 using this table.
(c) Approximate f(0.15) and f (0.28) using (b) above.

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