Using the 3 methods above, create an application that calculates the roots of an equation of second degree:
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Exercise 4 (java)
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- Chat GPT answers will be reported. AI software will be reported. Do not copy answers from elsewhere, work manually. Consider the DFA M = (Q,Σ,δ,q1,F) where Q = {q1,q2,q3,q4},Σ = {a,b},F = {q4} andδ(q1,a) = q2,δ(q2,b) = q3,δ(q3,a) = q4,δ(q3,b) = q1.Convert this DFA to a regular expression using the method discussed in class (as this automaticallyproves that the answer is correct, as the algorithm is proven correct). You only need to calculate sub-expressions if it is necessary towards the final answer. Also, simplify each subexpression using any lawdiscussed in class (including those derived on the board). To summarize, those were 1) (ε+ R)∗= R∗,2) S ·R∗= R∗if L(S) ⊆L(R∗) and ε ∈S, and 3) S + R = R if L(S) ⊆L(R).Define a method maxNumber() to complete the following program. MethodmaxNumber() is to find the largest of the three numbersModify the provided starter code by completing the two methods, evalAS(String e) andevalMD(String e), adding the ability to evaluate arithmetic expressions with + and – or * and /operators and multi-digit integer operands to the program. An example method has been written foryou in the starter code that does + and – operations with single digit operands. Use that example tocome up with your code to complete the other two methods.Test your program with the math expressions provided in the comments of the starter code. Then tryother longer valid expressions you come up with for testing. You can assume that the providedexpressions do not have spaces or other characters in them other than valid math operators ( +, - , *, /)and integers. You can also assume that all expressions begin with a positive integer.
- Blackout Math is a math puzzle in which you are given an incorrect arithmetic equation. The goal of the puzzle is to remove two of the digits and/or operators in the equation so that the resulting equation is correct. For example, given the equation 6 - 5 = 15 ^ 4/2we can remove the digit 5 and the / operator from the right-hand side in order to obtain the correct equality 6 - 5 = 1 ^ 42. Both sides of the equation now equal to 1. Observe how removing an operator between two numbers (4 and 2) causes the digits of the numbers to be concatenated (42). Here is a more complicated example: 288 / 24 x 6 = 18 x 13 x 8 We can remove digits and operators from either side of the equals sign (either both from one side, or one on each side). In this case, we can remove the 2 from the number 24 on the left-hand side and the 1 from the number 13 on the right-hand side to obtain the correct equality 288 / 4 x 6 = 18 x 3 x 8 Both sides of the equation now equal to 432. Here is another puzzle for you…Write a method checks if a given matrix is a unit matrix. An N x N unit matrix is a matrix of N rows and N columns where all the diagonal elements are ‘1’s and all the remaining elements are ‘0’s. The method should take a 2D array of integers as argument and return a Boolean which is true/false depending on whether the matrix corresponding to the 2D array is a unit matrix or not. Test the method in the ‘main’ method. For problems asking for 'methods', you need to write the method, and the 'main' method which is used as a 'driver' to test the given method.evenly divides num1gcd (num1, num2) is gcd(num2, num1) if num1 < num2gcd (num1, num2) is gcd(num2, num1%num2) otherwiseCreate and execute a program to find the greatest common factor of two positive integers using Euclid's method. The largest common divisor is the highest integer that divides both numbers without leaving a remainder. In the DivisorCalc class, define a static method called gcd that accepts two numbers, num1 and num2. Create a driver to put your program through its tests. The repeated procedure is as follows: gcd (num1, num2) is num2 if num2 <= num1 and num2 evenly divides num1gcd (num1, num2) is gcd(num2, num1) if num1 < num2gcd (num1, num2) is gcd(num2, num1%num2) otherwise
- Help m Complete method printPopcornTime(), with int parameter bagOunces, and void return type. If bagOunces is less than 2, print "Too small". If greater than 10, print "Too large". Otherwise, compute and print 6 * bagOunces followed by " seconds". End with a newline. Example output for ounces = 7: 42 seconds import java.util.Scanner; public class PopcornTimer {public static void printPopcornTime(int bagOunces) { /* Your solution goes here */ } public static void main (String [] args) {Scanner scnr = new Scanner(System.in);int userOunces; userOunces = scnr.nextInt();printPopcornTime(userOunces);}}l.Java program Write and test a void method called inOrder() that takes three strings and prints them out in the correct alphabetical order. For example the call of inOrder("abc", "mno", "xyz") will print out the values in the order abc -> mno -> xyz. However the call of inOrder("xyz" , "mno", "abc") will also print abc -> mno -> xyz.. Make sure to test your method, with at least 5 different input variations.6.27 LAB: Toll calculation Use Java programming. Toll roads have different fees based on the time of day and on weekends. Write a method calcToll() that has three parameters: the current hour of time (int), whether the time is morning (boolean), and whether the day is a weekend (boolean). The method returns the correct toll fee (double), based on the chart below. Weekday Tolls Before 7:00 am ($1.15) 7:00 am to 9:59 am ($2.95) 10:00 am to 2:59 pm ($1.90) 3:00 pm to 7:59 pm ($3.95) Starting 8:00 pm ($1.40) Weekend Tolls Before 7:00 am ($1.05) 7:00 am to 7:59 pm ($2.15) Starting 8:00 pm ($1.10) Ex: The method calls below, with the given arguments, will return the following toll fees: calcToll(8, true, false) returns 2.95calcToll(1, false, false) returns 1.90calcToll(3, false, true) returns 2.15calcToll(5, true, true) returns 1.05 public class LabProgram {public static double calcToll(int hour, boolean isMorning, boolean isWeekend) {/* Type your code here. */ } public static void…
- You have a card on which the letter J is written on one side and K on the other. You want to seeall of the possible ways the card will land if you drop it n times. Write a recursive method thatprints each session of dropping the cards with J's and K's. For example if you drop it 4 times in agiven session, all possible ways to drop it are as follows (in exactly the specified order): (java code)You have a card on which the letter J is written on one side and K on the other. You want to seeall of the possible ways the card will land if you drop it n times. Write a recursive method thatprints each session of dropping the cards with J's and K's. For example if you drop it 4 times in agiven session, all possible ways to drop it are as follows (in exactly the specified order): J J J JJ J J KJ J K JJ J K KJ K J JJ K J KJ K K JJ K K KK J J JK J J KK J K JK J K KK K J JK K J KK K K JK K K KIn Java (Use the isPrime Method) PrimeNumberMethod.java, provides the isPrime(int number) method for testing whether the number is prime. Use this method to find the number of prime numbers less than 10000. Below are some clarifications for the Java program (a) The lab is to COUNT the prime numbers less than 10000. Do NOT list the prime numbers. (b) A pair prime is two prime numbers whose difference is 2. For e.g. 3,5; 11,13; 17, 19; etc. We can use IsPrime function to count how many pair primes are there in a range from 2 to 100 for example. Create a function pairPrime, that takes one argument. pairPrime should return the number of pair primes between 2 and the argument passed. Use the pairPrime function to count the pair primes between 2 and 1000. Make use of the IsPrime function to solve this task. (This feature is worth 8 points). Use the compile/run button to test tour program. Include the output displayed. It will be similar to: command>javac…