We consider f: R → R by f(x) = x²-3x. From Calculus, it is known that of (a) = 2x-3. We'll compute forward difference approximations and symmetric difference approximations at xo = 1, for three values of h> 0. While it would be good to try another value of co, we don't have the heart to make you do that many hand computations! (a) Using the formulas in the notes, show all of the calculations to determine the first row of Table 2. By all calculations, it is meant, show the values for f(xo + h), (f(xo+h)-f(xo)), etc. as you arrive at your numerical approximations of the derivative. (b) Complete the table without showing any further calculations
We consider f: R → R by f(x) = x²-3x. From Calculus, it is known that of (a) = 2x-3. We'll compute forward difference approximations and symmetric difference approximations at xo = 1, for three values of h> 0. While it would be good to try another value of co, we don't have the heart to make you do that many hand computations! (a) Using the formulas in the notes, show all of the calculations to determine the first row of Table 2. By all calculations, it is meant, show the values for f(xo + h), (f(xo+h)-f(xo)), etc. as you arrive at your numerical approximations of the derivative. (b) Complete the table without showing any further calculations
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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