2-Suppose that you have n data points (x1, y1), ..., (xn, yn), with the xi all distinct. Which of the following statements about the nth degree interpolating polynomial is TRUE? * There are infinitely many such interpolating polynomials. The interpolating polynomial is unique. There is no polynomial of this degree that interpolates all n points.
2-Suppose that you have n data points (x1, y1), ..., (xn, yn), with the xi all distinct. Which of the following statements about the nth degree interpolating polynomial is TRUE? * There are infinitely many such interpolating polynomials. The interpolating polynomial is unique. There is no polynomial of this degree that interpolates all n points.
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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I need the correct choice of two points, please

Transcribed Image Text:2-Suppose that you have n data points (x1,
y1),..., (xn, yn), with the xi all distinct.
Which of the following statements about
the nth degree interpolating polynomial is
TRUE? *
There are infinitely many such interpolating
polynomials.
O The interpolating polynomial is unique.
There is no polynomial of this degree that
interpolates all n points.
3- Select the best definition for "numerical
analysis": *
the study of algorithms for computing
approximate solutions to problems from
continuous mathematics
the study of quantitative approximations to
the solutions of mathematical problems
including consider- ation of and bounds for
the errors involved
the study of round-off errors
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