Chapter 7, Problem 6HOA

R language

Question 1 (15 Points) Inheritance: In this question, we are going to create a new subclass of the SimpleGeometricObject class, named Triangle. Create a SimpleGeometricObject.java and Copy the source code of the SimpleGeometricObject class from the following link: https://liveexample.pearsoncmg.com/html/SimpleGeometricObject.html TASK 1: Create a Triangle class that extends the SimpleGeometricObject class in Eclipse, following the below UML diagram. + base:double = 5 + height:double = 10 Triangle + Triangle() + Triangle(newBase: double, newHeight: double) + getArea(): double + setBase(): void + setHeight(): void + getBase(): double + getHeight(): double

Question 2 (10 Points): String vs. StringBuilder Create a Question2.java file and finish the following tasks: Task 1. a) Create a 1D array of integers to store 50 integers. b) Store values from 0 to 49 in the array you just created. c) Create a new String Object using no-arg constructor. d) Using for loop to add the array elements one by one to the String (one per loop iteration) Hint: to append an element to a String, use the + operator. e) Output the String on the console. Record and display a run-time it took to append all integers to the String (record run-time of 1.d.)). Please submit a screenshot. The screenshot should match the following example: 012345678910111213141516171819202122232425262728293031323334353637383940414243444546474849 it took 196708 nanoseconds to append 50 integers to the String.| Hint: You can use the following statements to record run-time. long begin, end, time; // we will measure time it took begin = System.nanoTime(); //we measure in nanoseconds. // put…

Answer this Java OOP question below: Discuss the challenges and benefits of using multiple levels of inheritance in a class hierarchy. How can deep inheritance structures impact the maintainability and readability of code?

Answer the Java OOP question below: Explain the relationship between a superclass and a subclass. How do the principles of encapsulation and abstraction play a role in this relationship? In your experience, how do you decide what should be included in a superclass versus a subclass? Share an example where a well-defined superclass-subclass hierarchy improved your code.

1.) Consider the problem of determining whether a DFA and a regular expression are equivalent. Express this problem as a language and show that it is decidable. ii) Let ALLDFA = {(A)| A is a DFA and L(A) = "}. Show that ALLDFA is decidable. iii) Let AECFG = {(G)| G is a CFG that generates &}. Show that AECFG is decidable. iv) Let ETM {(M)| M is a TM and L(M) = 0}. Show that ETM, the complement of Erm, is Turing-recognizable. Let X be the set {1, 2, 3, 4, 5} and Y be the set {6, 7, 8, 9, 10). We describe the functions f: XY and g: XY in the following tables. Answer each part and give a reason for each negative answer. n f(n) n g(n) 1 6 1 10 2 7 2 9 3 6 3 8 4 7 4 7 5 6 5 6 Aa. Is f one-to-one? b. Is fonto? c. Is fa correspondence? Ad. Is g one-to-one? e. Is g onto? f. Is g a correspondence? vi) Let B be the set of all infinite sequences over {0,1}. Show that B is uncountable using a proof by diagonalization.

Can you find the least amount of different numbers to pick from positive numbers (integers) that are at most 100 to confirm two numbers that add up to 101 when each number can be picked at most two times?

Can you find the formula for an that satisfies the provided recursive definition? Please show all steps and justification

What is the number of injective functions f from set {1,2,....,2n} to set {1,2,....,2n} so that f(x) >= x for all the 1<= x <= n?