Use strategies of CURVE FITTING to find the best fit to the data below. This will produce an for the function F(x) approximation Use the exponential law and include an image of the chose curve. Compute the regression coefficient, and show all work please. A certain force, modeled by the function F(x), is accelerating an object over some distance x. This force obeys the following Ordinary Differential Equation:=xF with F(0)=1. Approximate the amount of work, W, done on the object between point 0 and 1.2. ANSWER: 1.56256 Nm *Use the relationship between work and force: W = F(x) dx *Units of force are in Newtons (abbrev N) and units of work done are Newton-meters (abb Nm) Approximate the solution, F(x), to the given O.D.E using Euler's Method. Specially, fill in the following table. Use Euler's Method x(distance) 0.0 0.3 0.6 0.9 1.2 F(x) (force) 1.000 1.000 1.090 1.286 1.633

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Use strategies of CURVE FITTING to find the best fit to the data below. This will produce an approximation for the function F(x)

Use the exponential law and include an image of the chose curve. Compute the regression coefficient, and show all work please.

Use strategies of CURVE FITTING to find the best fit to the data below. This will produce an
approximation for the function F(x)
Use the exponential law and include an image of the chose curve. Compute the regression coefficient,
and show all work please.
A certain force, modeled by the function F(x), is accelerating an object over some distance x.
This force obeys the following Ordinary Differential Equation:=xF with F(0)=1. Approximate the
amount of work, W, done on the object between point 0 and 1.2. ANSWER: 1.56256 Nm
*Use the relationship between work and force: W = F(x) dx
*Units of force are in Newtons (abbrev N) and units of work done are Newton-meters (abb Nm)
Approximate the solution, F(x), to the given O.D.E using Euler's Method. Specially, fill in the following
table.
Use Euler's Method
x(distance)
0.0
0.3
0.6
0.9
1.2
F(x) (force)
1.000
1.000
1.090
1.286
1.633
Transcribed Image Text:Use strategies of CURVE FITTING to find the best fit to the data below. This will produce an approximation for the function F(x) Use the exponential law and include an image of the chose curve. Compute the regression coefficient, and show all work please. A certain force, modeled by the function F(x), is accelerating an object over some distance x. This force obeys the following Ordinary Differential Equation:=xF with F(0)=1. Approximate the amount of work, W, done on the object between point 0 and 1.2. ANSWER: 1.56256 Nm *Use the relationship between work and force: W = F(x) dx *Units of force are in Newtons (abbrev N) and units of work done are Newton-meters (abb Nm) Approximate the solution, F(x), to the given O.D.E using Euler's Method. Specially, fill in the following table. Use Euler's Method x(distance) 0.0 0.3 0.6 0.9 1.2 F(x) (force) 1.000 1.000 1.090 1.286 1.633
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