Solutions To Mathematics Textbooks/Calculus (3rd) (0521867444)/Chapter 3

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Question 6[edit]

a)[edit]

Find degree polynomial where: and

Noting that:

is the same as

Then:

where

b)[edit]

Now find a polynomial function of degree such that

where

so: where

(Note that in this equation will always resulting in 0 unless x = x_i)