Which of the following is a third degree interpolating polynonialfor the data given in the Newton divided difference table.193 2737464a) Ps(z) = 1+3z(z – 1) + z(z – 1)(r – 2)Pa(z) = 1+7(z – 1) + 6(z – 1)(z – 2) + (z – 1)(r – 2)(z – 3)a Ps(z) = 64 + 37(r - 4) + 9(z – 4)(z – 3) + (z- 4)(z – 3)(z - 2)d) All of the above

Using the definition of Newton divided difference method for interpolating polynomial is given as

Which of the following is a third degree interpolating polynomial for the data given in the Newton divided difference table. 327 464 , Pa(=) = z + 3r(z – 1) + z(z – 1)(x – 2) b) Pa(z) = 1+ 7(z - 1) + 6(z – 1)(x – 2) + (z – 1)(r – 2)(z – 3) Ps(z) = 64 + 37(z – 4) + 9(z – 4)(x – 3) + (z – 4)(z – 3)(z – 2) a) All of the above

Which of the following is a third degree interpolating polynomial for the data given in the Newton divided difference table. 327 464 , Pa(=) = z + 3r(z – 1) + z(z – 1)(x – 2) b) Pa(z) = 1+ 7(z - 1) + 6(z – 1)(x – 2) + (z – 1)(r – 2)(z – 3) Ps(z) = 64 + 37(z – 4) + 9(z – 4)(x – 3) + (z – 4)(z – 3)(z – 2) a) All of the above

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Which of the following is a third degree interpolating polynonial
for the data given in the Newton divided difference table.
19
3 27
37
464
a) Ps(z) = 1+3z(z – 1) + z(z – 1)(r – 2)
Pa(z) = 1+7(z – 1) + 6(z – 1)(z – 2) + (z – 1)(r – 2)(z – 3)
a Ps(z) = 64 + 37(r - 4) + 9(z – 4)(z – 3) + (z- 4)(z – 3)(z - 2)
d) All of the above

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