[ ] Problem 5) Numerical Calculus Compute the numerical derivative of plot it for x = 1 .. 2 f(x) = ln(x) +x sin(x) + Code + Markdown 1 ] Compute the following integral using trapezoid rule 2 1 x7 dx +1 use 100 pieces for your integral. This is actually one of the hard hard hard integral to do by hands. Try it. 1 Python Python

preLabC.java 1 import java.util.Random; 2 import java.util.StringJoiner; 3 4- public class preLabC { 5 6- 7 8 9 10 11 12 13 14 15 16 17 18 19 20 } public static String myMethod(MathVector inputVector) { String vectorStringValue = new String(); // empty String object System.out.println("here is the contents object, inputVector: + inputVector); // get a String out of that MathVector object. Do it here. On the next line. // return the double value here. return vectorStringValue; "1 ▸ Compilation Description A MathVector object will be passed to your method. Return its contents as a String. If you look in the file MathVector.java you'll see there is a way to output the contents of a MathVector object as a String. This makes it useful for displaying to the user. /** * Returns a String representation of this vector. The String should be in the format "[1, 2, 3]" * * @return a String representation of this vector * @apiNote **DO NOT** use the built-in (@code Arrays.toString()} method. */…

%matplotlib inlineimport numpy as npfrom matplotlib import pyplot as pltfrom math import sin, cos, exp, pi, sqrtimport math

In Python NO IMPORT PICKLE Please check pictures and fix code. Write a program that keeps names and email addresses in a dictionary as key-value pairs.   This is the Required Output example:   Menu ---------------------------------------- 1. Look up an email address 2. Add a new name and email address 3. Change an existing email address 4. Delete a name and email address 5. Quit the program   Enter your choice: 2 Enter name: John Enter email address: John@yahoo.com That name already exists   Menu ---------------------------------------- 1. Look up an email address 2. Add a new name and email address 3. Change an existing email address 4. Delete a name and email address 5. Quit the program   Enter your choice: 2 Enter name: Jack Enter email address: Jack@yahoo.com Name and address have been added   Menu ---------------------------------------- 1. Look up an email address 2. Add a new name and email address 3. Change an existing email address 4. Delete a name and email address 5.…