Consider the following sets: U = {a,b,c,{a,b},d,{b,c,d},e} A = {a, b,{a,b}, {b,c,d},e} B = {a, b,c, d,e} Compute the following sets: а. AUB b. ANB с. А— В d. A° -

Describe the following sets by regular expressions, (с) {01, 10} (d) {а, ab}.

Please send me answer with in 10 min!! I will you rate you good for sure!! Please solve all the 4 parts!! Write a class named Homework in IntelliJ that implements:(1) A function that performs dot product between two vectors a and b:public static double dotProduct(double[] a, double[] b)(2) A function that performs matrix multiplication between aMat and bMat and returns theresult in cMatpublic static void matMultiply(double[][] aMat, double[][] bMat, double[][] cMat)(3) A function that takes a line (String) as input and breaks it up into words that may beseparated by space, comma or tab:public static String[] getLineWords(String line)(4) A main function that tests all the above functions and prints out the results.   Code written (has errors, but this is the structure/ method I'm going for) public class Homework { public static double dotProduct(double[] a, double[] b) { double result = 0; for (int i = 0; i < a.length; i++) { result += a[i] * b[i]; } return result; } public static…