Graph of the function for -3 < x< 3 State the value of the definite integral of the S, e)" dx calculated via technology Find 6 data points for your polynomial interpolation; x1 will be -2, x2 will be -1.2 etc etc till x6 will be 2. The y values will be y, = e* all the way up to y, = ez*o| Main Paragraph 2: Now use the data points above for polynomial interpolation (making sure to state the linear equations they create). Once you find that 5th degree polynomial, state both it and the matrix used to solve it. Next is to evaluate the definite integral of the 5th degree interpolating polynomial and state the end result.

Graph of the function for -3 < x< 3 State the value of the definite integral of the S, e)" dx calculated via technology Find 6 data points for your polynomial interpolation; x1 will be -2, x2 will be -1.2 etc etc till x6 will be 2. The y values will be y, = e* all the way up to y, = ez*o| Main Paragraph 2: Now use the data points above for polynomial interpolation (making sure to state the linear equations they create). Once you find that 5th degree polynomial, state both it and the matrix used to solve it. Next is to evaluate the definite integral of the 5th degree interpolating polynomial and state the end result.

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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Concept explainers

Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.

Question

Found the 6 point (-2,0.1353),(-1.2,0.4868),(-0.4,0.09231),(0.4,0.9231),(1.2,0.4868),(2.0,0.1353). Trying to find the 5th degree polynomial.

Graph of the function
for -3 <x<3
e
State the value of the definite integral of the
** dx calculated via technology
e
Find 6 data points for your polynomial interpolation; x1 will be -2, x2 will be -1.2 etc etc till x5
will be 2. The y values will be y1
= e* all the way up to y, = e*
Main Paragraph 2:
Now use the data points above for polynomial interpolation (making sure to state the linear
equations they create). Once you find that 5th degree polynomial, state both it and the matrix used
to solve it.
Next is to evaluate the definite integral of the 5th degree interpolating polynomial and state
the end result.

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