3. Solve the exact derivative of f(x) = x² at x = 5 4. Using the forward divided difference approximation with a step size of 0.2, what is the derivative of the function at x = 2 1.8 2.0 2.2 2.4 2.6 f (x) 6.0496 7.3890 9.0250 11.023 13.464 5. Find the acceleration at t = 17s, using second-order polynomial approximation and differentiate it, given the table below; t,s 10 15 20 22 v, m/s 22 36 57 10

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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Question
3. Solve the exact derivative of f(x) = x² at x = 5
4. Using the forward divided difference approximation with a step size of 0.2, what is the derivative of the function at x = 2
1.8
2.0
2.2
2.4
2.6
f (x)
6.0496
7.3890
9.0250
11.023
13.464
5. Find the acceleration at t = 17s, using second-order polynomial approximation and differentiate it, given the table below;
t,s
10
15
20
22
v, m/s
36
57
10
22
Transcribed Image Text:3. Solve the exact derivative of f(x) = x² at x = 5 4. Using the forward divided difference approximation with a step size of 0.2, what is the derivative of the function at x = 2 1.8 2.0 2.2 2.4 2.6 f (x) 6.0496 7.3890 9.0250 11.023 13.464 5. Find the acceleration at t = 17s, using second-order polynomial approximation and differentiate it, given the table below; t,s 10 15 20 22 v, m/s 36 57 10 22
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