.NO.1 Write a MATLAB program for the Secant method for solving the non-linear equation: f(x)-4x + sinx-e* 0 with initial two roots x,-0 nd χι-: 1. The iterations of the method should stop/terminate when a certain tolerance/convergence level is achieved OR a maximum number of iterations are performed (whichever happens first). Na 2 write a MATLAB program for the Regula-Falsi method for solving the non-linear equation: f(x)-4x+sin x-e- in [0,1] The iterations of the method should stop/terminate when a certain tolerance/convergence level is achieved. Q.NO.3 Write a MATLAB program for the Bisection method for solving the non-linear equation f(x) = 4x + sin x-e* = 0 in [0,1] The iterations of the method should stop/terminate when a certain tolerance/convergence level is achieved OR a maximum number of iterations are performed (whichever happens first). , No. 4 |write a MATLAB program for the Newton's method for solving the non-linear equation: f(x) 4x+sin x - ex 0 with initial root xo 1 The iterations of the method should stop/terminate when a certain tolerance/convergence level is achieved OR a maximum number of iterations are performed (whichever happens first). Q.NO.5 A palindrome is a number or a text phrase that reads the same backward as forward. For example, each of the following five-digit integers is a palindrome: 12321, 55555, 45554 and 11611. Write a program that reads in a five-digit integer and determines whether it is a palindrome Write a program that prints the following diamond shape. You may use output statements that print a single asterisk (), a single blank or a single new line. Maximize your use of repetition (with nested for statements) and minimize the number of output statements. ONO.6 ne etr tr O NO.Z Write a MATLAB program to test whether a given number is prime or not. Write a MATLAB program to find all the prime number between a number a and number b (for example 50 to 180)