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Complete the function given the variables N, a, b and return the value as "TotalArea". " "Don't change the predefined content' only fill your code in the region 'YOUR CODE"""" from math import * def InterageSimpson (N, a, b): # n is the total intervals, a and b is the lower and upper bound respectively """Hint: Use loop to add all the values in the above equation and use the if statement to determine whether the value is odd or even""" def f(x): ## The function f(x)=2*x**3 is defined as below, DON'T CHANGE IT: f=2*x**3 return f value=0 # Initial value TotalArea=0 # TotalArea as the final integral value, the area underneath the curve. dx=(b-a)/N # delta x, the interval length # Complete the function by filling your codes below:

Complete the function given the variables N, a, b and return the value as "TotalArea". " "Don't change the predefined content' only fill your code in the region 'YOUR CODE"""" from math import * def InterageSimpson (N, a, b): # n is the total intervals, a and b is the lower and upper bound respectively """Hint: Use loop to add all the values in the above equation and use the if statement to determine whether the value is odd or even""" def f(x): ## The function f(x)=2*x**3 is defined as below, DON'T CHANGE IT: f=2*x**3 return f value=0 # Initial value TotalArea=0 # TotalArea as the final integral value, the area underneath the curve. dx=(b-a)/N # delta x, the interval length # Complete the function by filling your codes below:

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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"""Complete the function given the variables N, a,b and return the value as "TotalArea". ' "Don't change the predefined content' only fill your code in the region 'YOUR CODE'"""" from math import * def InterageSimpson (N, a, b): # n is the total intervals, a and b is the lower and upper bound respectively """Hint: Use loop to add all the values in the above equation and use the if statement to determine whether the value is odd or even"""" def f(x): ## The function f(x)=2*x**3 is defined as below, DON'T CHANGE IT: f=2*x**3 return f value=0 # Initial value TotalArea=0 # TotalArea as the final integral value, the area underneath the curve. dx=(b-a)/N # delta x, the interval length # Complete the function by filling your codes below: # YOUR CODE HERE return TotalArea # Make sure in your #solution, you use the same name "TotalArea" for the output ####Check your code by using print command below### N=100 a=1 b=3 print (InterageSimpson (N, a, 四个↓ 古 b)) 0+
Transcribed Image Text:"""Complete the function given the variables N, a,b and return the value as "TotalArea". ' "Don't change the predefined content' only fill your code in the region 'YOUR CODE'"""" from math import * def InterageSimpson (N, a, b): # n is the total intervals, a and b is the lower and upper bound respectively """Hint: Use loop to add all the values in the above equation and use the if statement to determine whether the value is odd or even"""" def f(x): ## The function f(x)=2*x**3 is defined as below, DON'T CHANGE IT: f=2*x**3 return f value=0 # Initial value TotalArea=0 # TotalArea as the final integral value, the area underneath the curve. dx=(b-a)/N # delta x, the interval length # Complete the function by filling your codes below: # YOUR CODE HERE return TotalArea # Make sure in your #solution, you use the same name "TotalArea" for the output ####Check your code by using print command below### N=100 a=1 b=3 print (InterageSimpson (N, a, 四个↓ 古 b)) 0+
We have learned the mid-point and trapezoidal rule for numercial intergration in the tutorials. Now you are asked to implement the Simpson rule, where we approximate the integration of a non-linear curve using piecewise quadratic functions. Assume f(x) is continuous over [a, b] . Let [a, b] be divided into N subintervals, each of length Ax, with endpoints at P = x0, x1, x2,.. Xn,..., XN. Each interval is Ax = (b − a)/N. The equation for the Simpson numerical integration rule is derived as: f f(x) dx N-1 Ax [ƒ(x0) + 4 (Σ1,n odd f(xn)) ƒ(x₂)) + f(xx)]. N-2 + 2 (n=2,n even Now complete the Python function InterageSimpson (N, a, b) below to implement this Simpson rule using the above equation. The function to be intergrate is ƒ(x) = 2x³ (Already defined in the function, no need to change).
Transcribed Image Text:We have learned the mid-point and trapezoidal rule for numercial intergration in the tutorials. Now you are asked to implement the Simpson rule, where we approximate the integration of a non-linear curve using piecewise quadratic functions. Assume f(x) is continuous over [a, b] . Let [a, b] be divided into N subintervals, each of length Ax, with endpoints at P = x0, x1, x2,.. Xn,..., XN. Each interval is Ax = (b − a)/N. The equation for the Simpson numerical integration rule is derived as: f f(x) dx N-1 Ax [ƒ(x0) + 4 (Σ1,n odd f(xn)) ƒ(x₂)) + f(xx)]. N-2 + 2 (n=2,n even Now complete the Python function InterageSimpson (N, a, b) below to implement this Simpson rule using the above equation. The function to be intergrate is ƒ(x) = 2x³ (Already defined in the function, no need to change).
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