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Write an octave program that will take a set of points {xk, fk} representing a function and compute the derivative at the same points xk using
1. 2-point forward dierence
2. 2-point backward dierence
3. 3-point central dierence
4. 5-point central dierence
Use your program for the function
f(x) = ex
for which you know the correct answer to study the result as a function of h in the interval x ∈ [0; 1]. Make a table showing the values of the maximum absolute and relative errors for the 4 dierent methods for values of n=10, 100, 1000, 10000. Plot the dierent estimates for the derivative together with the analytical answer for 2 values of n. Comment on your results. You should submit an octave script or function le I can use to reproduce your results and a separate document (plain text le preferred) for your comments.
Finding derivatives
Given a standard 2x3 matrix show the ideal formed by the 2x2 minors is Prime.
Objectives After studying this unit, you should be able to briefly describe the developmental stages of children's thinking and learning processes; assess the levels
Determine the centralizer and the order of the conjugacy: 1) Determine the centralizer and the order of the conjugacy class of the matrix [1, 1; 0, 1] in Gl 2 (F 3 ).
HOW TO FIND 2SQUARE *7 CUBE
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A man invest ?13500 partly in shares paying 6% at ?140 and partly in 5% at 125.If he is tolal income is 560, how much has he invested in each?
A subset of the real line is called as an interval. Intervals are very significant in computing inequalities or in searching domains etc. If there are two numbers a, b € R such tha
Calculate the Probability A bag contains 80 balls of such 20 are red, 25 are blue and 35 are white. A ball is picked at random what is the probability that the ball picked is
integrate ln(1+2^t)
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