Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
2) The table given below reveals the velocity v of a body during the time "t" specified. Find its acceleration at t = 1.1. t V 1 43.1 1.1 47.7 1.2 52.1 1.3 56.4 1.4 60.8

2) The table given below reveals the velocity v of a body during the time "t" specified. Find its acceleration at t = 1.1. t V 1 43.1 1.1 47.7 1.2 52.1 1.3 56.4 1.4 60.8

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
See similar textbooks
icon
Related questions
Question
Solve the question according to my source Numerical Analysis
2) The table given below reveals the velocity v of a body during the time "t" specified. Find its acceleration at t = 1.1. t V 1 43.1 1.1 47.7 1.2 52.1 1.3 56.4 1.4 60.8
Transcribed Image Text:2) The table given below reveals the velocity v of a body during the time "t" specified. Find its acceleration at t = 1.1. t V 1 43.1 1.1 47.7 1.2 52.1 1.3 56.4 1.4 60.8
Newton's Forward Differences Formula to get the derivative We want to find the derivative of y = f(x) passing through the (n+1) points, at a point nearer to the starting value x = xo. Newton's Forward Differences Formula Y(xo+uh) Yo+uAyo + 2! where u=- dy 1 dx dy dy du 1 dy == - dx du dx h du A d²y 1 = dx² h² And also d³y 1 x-xo h . 2u-1, Ayo+ A²y + 2 = (1/2) - 1/12 = dx2 du dx dx du dx h d'y d (dy du d (dy dx³ h³ 24 The above equation gives the value of of general x which may be anywhere in the interval E = 7/34³% + - = u(u-1) u(u-1)(u-2) -A²yo + 3! • u du = dy dx h where y= h A²yo+ (u-1)4³yo + d²y = dx² h² Y(x)= y(x+yh) = Yn+yVy(n-1) + x-xn dy dy dy 1 dy dx dy dx hdy d³y dx3 3 3u²-6u+2 6 12u - 18 12 Newton's backward differences interpolation formula is :- y(y + 1) p²y (n) 2! Newton's Backward Differences Formula to compute the derivative yn + 2y 1, 1/2 √y₁ + ²y + ¹ v²y₂ + 3y² + 6y + 2 Vyn 2 6 -A*yo + -1/2 [0²/₁ + (y + 1) 0³ y + 1 12y + 18 12 -4³% + 6u²-18u+11 12 4u³-18u² +22u-6 -4³% +... 6y² + 18y + 11 12 -Vªyn + ... -Ayo +... -A¹yo + 4y³ + 18y² + 22y +6, +- 24 y(y + 1)(y + 2)p³y(n) +- 3! *y+... vyn+
Transcribed Image Text:Newton's Forward Differences Formula to get the derivative We want to find the derivative of y = f(x) passing through the (n+1) points, at a point nearer to the starting value x = xo. Newton's Forward Differences Formula Y(xo+uh) Yo+uAyo + 2! where u=- dy 1 dx dy dy du 1 dy == - dx du dx h du A d²y 1 = dx² h² And also d³y 1 x-xo h . 2u-1, Ayo+ A²y + 2 = (1/2) - 1/12 = dx2 du dx dx du dx h d'y d (dy du d (dy dx³ h³ 24 The above equation gives the value of of general x which may be anywhere in the interval E = 7/34³% + - = u(u-1) u(u-1)(u-2) -A²yo + 3! • u du = dy dx h where y= h A²yo+ (u-1)4³yo + d²y = dx² h² Y(x)= y(x+yh) = Yn+yVy(n-1) + x-xn dy dy dy 1 dy dx dy dx hdy d³y dx3 3 3u²-6u+2 6 12u - 18 12 Newton's backward differences interpolation formula is :- y(y + 1) p²y (n) 2! Newton's Backward Differences Formula to compute the derivative yn + 2y 1, 1/2 √y₁ + ²y + ¹ v²y₂ + 3y² + 6y + 2 Vyn 2 6 -A*yo + -1/2 [0²/₁ + (y + 1) 0³ y + 1 12y + 18 12 -4³% + 6u²-18u+11 12 4u³-18u² +22u-6 -4³% +... 6y² + 18y + 11 12 -Vªyn + ... -Ayo +... -A¹yo + 4y³ + 18y² + 22y +6, +- 24 y(y + 1)(y + 2)p³y(n) +- 3! *y+... vyn+
Expert Solution
steps

Step by step

Solved in 3 steps with 21 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,
SEE MORE TEXTBOOKS