Let s = 1- 2i, and r = 2+i. Given variable x as the imput, write a MATLAB function to create output variables z and w as defined below: z = sr(s +x) W = Z+r (s +x)² Function e C Reset I MATLAB Documentat 1 function (z,w] = lab1_pr6(x) 3 | 4 5 end Code to call your function e CR

Given the code below, in your solution cell: make the necessary changes to write the code as a function. You can choose how to name your function, but try make sure it reflects what it is supposed to do. Identify which variables from the given code should be arguments to the function instead The result should be the value returned by your function Document your function using comments Provide 3 test cases with expected outputs for the function created.   # the given code​ # initializing the variablesnumlist = [10, 5, 14, 8, 74]result = [[],[]]​# for each elem in numlist insert a value into resultfor num in numlist: if num%3==0: result[0].append(num) else: result[1].append(num)​# the final result print(result)   # your solution:     # Your test cases (3 test cases)

Write a function that takes an integer input and check whether it can be expressed as the sum of two prime numbers. If it can be expressed as sum of two prime numbers then print those numbers. You also need to account for multiple combinations of prime number. Take a range as input from use and print all such number in that range. You can use as many helper function as needed. Sample: Enter range: 2 10 Range 2 to 10: 4: Can be written as 2 +2 5: Can be written as 3+ 2 6: Can be written as 3 +3 7: Can be written as 2 + 5 8: Can be written as 3 +5 9: Can be written as 2 + 7 10: Can be written as 3 + 7 10: Can be written as 5 + 5

write a function sumValues which has two formal paramerters. int num1 and int num2. The function sums the values from num1 to num2 inclusive and returns the sum

Write a function my_der_calc(f,a,b,N,option), with the output as [df,X],where  f(x) is a function that equals x(1-x), a and b are a scalars that represent the 1st and last point of your grid respectively, and Nis an integer that represents the number of grid points, and optionis the string that can take on the text forward, backward or central differencing.  Thus, you are writing a function that can perform forward, backward or central differencing, the choice is determined by the input option Let xbe an array starting at a, ending at b, containing Nevenly spaced elements, and let y be the array f(x) The output argument, df, should be the numerical derivatives computed for xaccording to the method defined by the input argument, option The output argument Xshould be an array that is the same size as df containing the points in xfor which df is valid Remember, the forward difference method “loses” the last point, the backward difference method loses the first point, and the central…

Plans Resources More - Overview Question 3 Consider the following function: int func(int x){ if (x == 0) %3D return 2, else if (x == 1) return 3; else return (func(x - 1) + func(xF 2)); What is the output of func(4)? Your answer: O13

Write a function safe(n) that takes a non-negative integer n as input where n has at most 2 digits. The function determines if n is a safe number. A number is not safe if it contains a 9 as a digit, or if it can be divided by 9. The function should test if n is safe and return True if n is safe and False otherwise

Define a function calc_total_inches, with parameters num_feet and num_inches, that returns the total number of inches. Note: There are 12 inches in a foot.Sample output with inputs: 5 8 Total inches: 68

Write a function to determine the resultant force vector R of the two forces F₁ and F₂ applied to the bracket, where 0₁ (positive, unit in degree) and ₂ (negative, unit in degree). Write R in terms of unit vector along the and y axis. R must be a vector, for example R = [R₂, R₂]. Note that is expressed in degrees. The coordinate system is shown in the figure below: F2 021 return R # import numpy as np. import math from math import * # Import all the math functions from the math library from numpy import array # Complete the function given the variables F1, F2, thetal (positive, degree), theta2 (negative, degree) and return the value as array #Hints: Use numpy.array to form the force vector and then add the force vectors # Remember to convert the degree to radian in the calculations and be careful of the sign def force_vec (F1, F2, thetal, theta2): R=np.array([0,0]) # Resultant force vector, Initiation of the value # YOUR CODE HERE # Check your answer F1=300 F2=200 0₁ Theta1=60…

= Write a function ApproxSolver1(a0, a1, b0, b1, m) that takes as input two entries a0, a1 representing the second order dif- ference equation a0xn + α₁xn+1 + Xn+2 0, and two more b0, b1 representing initial conditions (x0,x1) = (bo, b₁), along with a value m, and outputs an integer which is an approximate value of xm by (assuming distinct roots of the auxiliary equation).