Given code. my main concern is where to place the given variables for the solution. please use code attached **Evaluate the following integral**\[\int_{0}^{4} (1 - e^{-x}) \, dx\]using a single application of the trapezoidal rule.**Choices**- [ ] 1.963369- [ ] 1.36696- [ ] 1.936639- [ ] NoneThe question asks you to evaluate the integral $\int_{0}^{4} (1 - e^{-x}) \, dx$ using the trapezoidal rule. You are given four options to select the correct approximate value of the integral. Below is a Python function that implements the trapezoidal rule for numerical integration with multiple applications:```pythondef Trap(f, x): n = len(x) - 1 s = 0 for i in range(n): f2 = f(x[i+1]) f1 = f(x[i]) s = s + (x[i+1] - x[i]) * (f1 + f2) / 2 #print(s) return s```### Explanation- **Function Definition**: The function `Trap(f, x)` takes two parameters: a function `f` that represents the function to be integrated, and a list `x` that contains the x-coordinates of the points used in the trapezoidal rule.- **Variables**: - `n` is initialized to `len(x) - 1` which represents the number of subintervals. - `s` is initialized to 0, which will accumulate the sum of the areas of the trapezoids.- **Loop**: - The `for` loop iterates over each subinterval. - Within the loop, `f2` and `f1` are calculated as the function values at the endpoints `x[i+1]` and `x[i]`, respectively. - The area of each trapezoid is calculated and added to `s`. The formula `(x[i+1] - x[i]) * (f1 + f2) / 2` computes the area using the average of the two y-values (`f1` and `f2`).- **Return**: - The function returns the accumulated sum `s`, representing the total approximate integral over the interval defined by `x`.

Answer: correct answer is 1.963369 I have done code in python. and attached python code as well as code screenshotPYTHON CODE import numpy as npimport matplotlib.pyplot as pltdef Trap(x): a=0 b=4 h=1 n=int((b-a)/h) s=np.linspace(a,b,n+1) t=np.exp(1-s*s) f=0 for i in range(1,n): f=f+t[i] q=2*f+t[0]+t[n] result=q*(h/2) return resultm=np.linspace(0,4)n=np.zeros(len(m));for i in range(len(n)): n[i]=Trap(m[i])plt.plot(m,n)plt.show()I hope this will meet your requirement and also hope this will help you lot thanks.

Answered: def Trap(f,x): n = len(x)-1; s = 0; for…

Engineering

Computer Science

def Trap(f,x): n = len(x)-1; s = 0; for i in range (n): f2 = f(x[i+1]); f1=f(x[i]); s = s + (x[i+1]-x[i]) * ( f1+ f2 )/2 #print(s) %3D %3D return s

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

See similar textbooks

Similar questions

I need MATLAB CODE for this . Attach MATLAB code Don't reject again and again
A prime number is an integer value that is only divisible by 1 and itself. 2, 3, 5, 7, and 11 are examples of prime numbers. You have been provided with two function definitions: The is_prime () function takes an integer parameter number, and returns True if number is prime and False otherwise. The get_next_prime () function also takes a single integer parameter number, and returns the first prime number larger than it. You must not change the implementation of these 2 functions. Complete the get_primes_list() function that takes a single list of integers called numbers as parameter. You can assume that the integer items in this list will be non-negative. The function must update this list so that items that are not prime numbers are updated to the first prime number larger than them. To implement this function you must call both the is_prime () and get_next_prime () functions. Some examples of the function being called are shown below. Note: the get_primes_list() function does not…
Please written by computer source Comsider the following Inear equstion. y=(1)/(4)x+4
Given: (3,6) int numi, num2, newNum; double x, y; Which of the following assignments are valid? If an assignment is not valid, state the reason. a. numl = 35; b.newNum = numl - num2; c.numl = 5;num2 = 2 + numl;numl = num2 I 3; d. numl * num2 = newNum; e.x = 12 * numl - 15.3; f.numl * 2 = newNum + num2; g. x / y = x * y; h. num2 = numl % 2.0; i.newNum = static_cast<int> (x) % 5; j.x = x + y - 5; k. newNum = numl + static_cast<int> (4.6/2);
Program solution in language MATLAB And send the solution as M-file
Please elaborate on your use of the word "local variable" while discussing this topic.Local variables in the code are used in many phrases.
Please help with this code and make sure to create in c++. Make sure it is 100% correct and works on Visual studios. Thxs. Write the code as described in the questions below. Submit your code electronically in the box at the bottom. You may only use Java, C# or C++. The economy is defined using a 2-dimensional data structure: A “payday” will be considered to be any region of $ values where all cells in the region are connected either vertically or horizontally. For example, the following illustrates a matrix with 5 rows and 8 columns containing three objects. $’s and P are used in the diagram to represent the two types of values: PPPP$PPPPPP$$PPPPP$$PPP$PP$PPPP$P$PPP$$$ a) Write a program to read in the data from the text file and store it into a data structure. Your program should output it to the screen after it has read in the file. (If you can’t get this to work hard-code the above example and continue to part b). Here is a sample text file (containing the above data):…
L et D= { s, d, b}, E= { c, k}, G= { a, k }, U={a, b, c, d, k, s} DUE=
Please written by computer source In C# pseudo-code answer this question:
Explain how to use value parameters.
Payton
My programming is as follows : INSERT INTO PADDLING (TRIP_ID, TRIP_NAME, STATE, DISTANCE, MAX_GROUP_SIZE, SEASON) FROM TRIP WHERE TYPE = 'Paddling' I have typed in the Syntax precisely how it was shown on the website to double check my work and the program describes a syntax error at the "FROM".