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3. To find the velocity of the particle in the previous problem at any given time, we would need to calculate the first derivative of the position function. Use forward and backward difference approximations of 0(h) and a centered difference approximation of 0(h²) to estimate the first derivative of the function at t = 2 using a step size of h = 0.2. Compare your results with the true value of the derivative. Interpret your results based on the remainder term of the Taylor series expansion.

3. To find the velocity of the particle in the previous problem at any given time, we would need to calculate the first derivative of the position function. Use forward and backward difference approximations of 0(h) and a centered difference approximation of 0(h²) to estimate the first derivative of the function at t = 2 using a step size of h = 0.2. Compare your results with the true value of the derivative. Interpret your results based on the remainder term of the Taylor series expansion.

Advanced Engineering Mathematics
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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Use the equation in the first picture to solve question 3. Please I really need help.
3. To find the velocity of the particle in the previous problem at any given time, we would need to calculate the first derivative of the position function. Use forward and backward difference approximations of 0(h) and a centered difference approximation of O(h²) to estimate the first derivative of the function at t = 2 using a step size of h = 0.2. Compare your results with the true value of the derivative. Interpret your results based on the remainder term of the Taylor series expansion.
Transcribed Image Text:3. To find the velocity of the particle in the previous problem at any given time, we would need to calculate the first derivative of the position function. Use forward and backward difference approximations of 0(h) and a centered difference approximation of O(h²) to estimate the first derivative of the function at t = 2 using a step size of h = 0.2. Compare your results with the true value of the derivative. Interpret your results based on the remainder term of the Taylor series expansion.
f(t)=25t³-6t² +7t-88
Transcribed Image Text:f(t)=25t³-6t² +7t-88
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