Programming Questions and Answers January 31, 2021

102 1 0 1 0 1 4 1 1 0 2104 30 2011 5 0 2 1 1 3 5 0 the recursion when the matrix order n 2, i.e., computing the 2 x 2 matrices using bruteforce algorithm. Apply Strassens algorithm to compute X 9 exiting In general, how many multiplications and additions does Strassens algorithm take in comparison to bruteforce algorithm

Write a function futval(principal, apr, numyears) that returns the future value of principal dollars invested for numyears at an annual interest rate of apr. Then use this function to complete a program that allows a user to compare two investments at differing interest rates. The user will enter the amount to invest (principal), the number of

1. Modify the program below by adding a function called display that prints your name, as shown below. You need to write a function prototype, a function call and a function definition include include int main() This program demonstrates how to call a void function. Desired output Program started using namespace std Written by Date cout

1. Write a program that asks the user for a certain number between 1 and 100, then the program prints all the multiples of this number below 10000. 2. Write a program that takes as input an integer below 100, then prints the Factorial of this number. Fact(n) n(n1)(n2) .....21.

Write a program that is able to communicate with the user and ask for their title, name, date of birth (dob), and a brief bio. Note that for the title, name, and dob, you must read them via the input operator i.e. , and use stdgetline for the bio. Finally print out the information (in the terminal) with the following format (tab space)DOB (tab

Write a python program that accepts a positive integer number from user input and makes and prints a new number that has only odd digits of the given number with preserving the order. If the given number has no odd digits, the new number is 0. Your program must check if the input is valid or not. Your program should only include contents from

Write a Python program that prompts the user to input a positive number n (the number should be validated) and print an identity matrix of the desired size, n. N.B If the entered number was float, it should be converted to integer. Expected Output Enter a positive number 3 Wrong entry Enter a positive number 4.2 1 0 0 0 0 1 0 0 0 0 10 0001

Write a function called has duplicate that takes a list as a parameter. The function should return True if it finds an element that appears two or more times in the list. If there are no duplicates, return False. . has duplicate (7,0,3,01) True . has duplicate (7,6,5,4,3,2,1,0) False . has duplicate () False

What is the output of the following code if the input is 13 1 myvalue int (input (Please enter a number )) total 0 5 6 7 for x in range (myvalue) if x 2 1 if x 8 break total total 1 8 9 print (total) 10,What is the output of the following code if the input is 42 myvalue int (input (Please enter a number )) total 0 for x in range (10,

write in the python code

Yes Start 8 counter 1 totalAge0 age0 number 0 How many ages to enter GET number Loop counter num ber NO Enter age GET age totalAge totalAge countercounter 1 averageAge totalAge number PUT The average is averageAge End

Developing an authentication system for an application's user portal. Design a Java program that models the following scenario: (25 marks) Create a User class with attributes username and password . Implement an AuthenticationSystem class that: Has a method register ( User user ) to add new users. Has a method login ( String username, String

If N is the number of states, then the shape of B (the emission matrix) will always be a) 2 x 4 b) N x N c) N x number of unique observations . d) None of the above

Write a program that takes an integer input representing a fictitious 9-digit Social Security Number (SSN) and formats it with hyphens. The output should be in the format "XXX-XX-XXXX," where "XXX" represents the first three digits, "XX" represents the next two digits, and "XXXX" represents the last four digits. For example, if the input is

OpenClosed Principle (OCP), Dependency Inversion Principle (DIP) Explain. 2. Here is an example of Java code that violates two SOLID principles. public interface Shape public void draw() wwwwwww public void resize (int width, int height) public class Circle implements Shape public void draw() System.out.println(Drawing a circle...) wwwwww

1Write an assembly program to subtract the value of BL from AL and put the result in DL. Using numbers less than 127, test the cases when ALBL, ALBL, and AL

If we wanted to store the first 25 numbers in the Fibonacci sequence in numbers array, what should we do Answer Declare an array of size 50 with the name averages of type double. Answer Compare Code Example 1 and Code Example 2 in Model I. What is the primary benefit of using arrays Answer Code Example 1 int al 0 int a2 1 int a3 1 int a4 2

The number between the I and (after the array name) refers to the index of the array. What index does an array begin with Answer Does the size of the array affect the starting index of the array Answer What is the ending index of the array numbers Answer What is the ending index of an array of size 10 Answer Does the size of the array affect

. Whats the data type for numbers Answer Variable numbers is an array variable. Can you summarize how to declare an array variable Answer Whats the size of the array Answer How to create an array of a number of elements Answer Whats the value of numbers2 and numbers4 Answer . numbers 2 and numbers4 refer to elements of an array, and they

How many variables that have name starting with letter a Answer Whats their data type Answer al to a5 contain the first five numbers in the Fibonacci sequence. If we wanted to represent the first 25 numbers in the Fibonacci sequence, how many variables would this require Answer Code Example 1 int al 0 int a2 1 int a3 1 int a4 int a5 2 3

Write a function collatzseg (n) which computes the Collatz sequence (as a Python list) given an initial value n. For example, the output of collatzseq (5) should be 5,16,8,4,2,11 (ii) Write a function collatzcount (n) which counts the number of steps s(n) until the sequence starting at 12 reaches 1. For example, s(1) 0 and as above s(11) 14.

Create a C function with the following capabilities prog.c Modify the template program, lookout.c on p. 5657 with the following additional capabilities a. Repeat the following steps 5 times (this means, after 5 seconds of running, your program should terminate without printing anything if there is no change detected.) i. Wait 1 seconds using

Your code should starts with def main () then you should prompt the message of Please enter your meal cost then assign the value to x once you have x, you need to figure out the SalesTax, which is 0.07 of x then figure out the Tips, lets say 20 of the meal, which is 0.2 X then you will need to add all of them together and assign the value to

Provided two sorted lists, 11 and 12, write a function in C to efficiently compute 11 n12 using only the basic STL list operations. The lists may be empty or contain a different number of elements e.g. 11 12 You may assume 11 and 12 will not contain duplicate elements. Examples (all set members are list node) 1,2,3,4 n 2,3 2,3 n 2,3 0 2,9, 14

Write a function MyFactorial which for a given integer n computes n. The function should gracefully handle inappropriate inputs, such as n being negative or not being an integer, by printing an error message and exiting. The function should return n for valid inputs. In your MATLAB live script, write a script that displays the smallest value of n

Write an interactive program using GUI in MATLAB. The program should accepts values for loan amount, yearly interest rate, and monthly payment amount from the terminal, and computes and displays on the terminal screen a loan repayment table. Following is the sample output that you may consider as your design. You are allowed to change the

A group of Canadian friends is planning a road trip to explore cities across the United States in the summer. They want to ensure that they will only visit each city once and return to their starting point without backtracking. They came together and created a map (Figure 1) for their trip, with all roads between the cities they were planning to

What would the output of the program regtest.py be if it was given the input file accounts.txt (below). regtest.py accounts.txt import re phoneRegex re.compile(r( ((06)) () (d7) ), re.VERBOSE) fileobj open(accounts.txt) data fileobj.readlines() for number in data number number.strip()) mo phoneRegex.search(number) if mo,print(number found

Create a weather station using an Arduino board. The components youll be working with include a DHT11 temperature sensor, a 1602 display, and a digital push button. Your task is to write an Arduino program that accomplishes the following 1. Print your name and student ID at the beginning of the program in the center of the 1602 display. 2. Read

5. Design a combinational circuit that takes in two 2bit binary numbers. The system should produce the product of the two numbers at the output. 6. Design a combinational circuit that takes in two 2bit binary numbers. The output is 1 if the product is less or equal to 2. 7. Design a system to perform the following computation S XYZ I where each

5. Design a digital circuit that takes two 4bit numbers A and B as input and generates output Z as follows (20 points) If A and B are odd numbers then ZAB. If A and B are even numbers then ZBA. If A is an even number and B is an odd number then ZAB. If A is an odd number and B is an even number then ZAB1 Assume that you have access to as many as

i) Design a combinational circuit whose input is a 4bit number and whose output is the 2s complement of the input number. a) Implement your design using only XOR and AND logic gates. Inverters are not available. 4 Marks b) Implement your design using at least one functional block (decoder, multiplexer etc) and any number of logic gates of your

7. Determine whether the following linear programs are feasible bounded, feasible unbounded, or infeasible. (a) (b) (c) subject to subject to subject to max(x x) x1 2x 3 3x1x22 4x1x2 max(x1 x2) 1 2x2 3 3x1x2 2 4x1x 2 max(x1x) x 2x 3 3x1 x2 2 42122

To model a maze as a graph, you can create vertices representing the starting point, finishing point, dead ends, and intersections where multiple paths are available. These vertices can then be connected by edges that follow the paths in the maze. a) Construct a graph for the given maze in figure 2. b) For the generated graph, which traversal

4 N 3 w 6 6 3 4 9 5 8 9 4 10 6 2 5 8,The graph below represent a transportation network of vehicles that travel from city 1 to 9. All roads are unidirectional and the numbers on the arcs represent the maximum number of vehicles (in thousands per day) that can travel between two nodes. Use an algorithm (i.e., manual steps) to find the maximum

In the graph below, vertices represent cities, and the edges represent potential railroad tracks. The weights on each edge represent the cost in millions of dollars to build a railroad between the two cities. Build a train system to connect these cities for the least cost possible . a) Show all your steps (mark selected tracks on the graph below).

Pewter City 2 Viridian City 11 Cerulean City Celadon City Pallet Town 7 19 16 3 5 5 13 Saffron City Vermillion City Fuchsia City Cinnabar Island Lavender Town

The exact value of the integral f. f(x) dx where f(x) 2.6x from 0x1.1 and f(x) 3.4x2 from 1.1x2 is,The exact value of the integral f. f(x) dx where f(x) 2.6x from 0x1.1 and f(x) 3.4x2 from 1.1x2 is

Consider the below data Name Weight Gender Play CricketNot Aamir 58 Sharukh 57 Priyanka Aalia 45 Ranbir 61 Deepika 52 Shalini 56 Akshay 60 M M F M F M Y Y N Y N Y Y N a) Identify the type (nominal, ordinal, interval, and ratio) of each attribute. (1 mark) b) Identify the quality issues with this data set. (1 mark) c) The following are the general

4. Examine the following data from crosses in canaries Parents a) pinkeyed female X pinkeyed male b) pinkeyed female X blackeyed male c) blackeyed female X pinkeyed male Explain these results by determining 1) which eye color allele is dominant 2) the mode of inheritance for the eye color alleles. (in other words, is eye color inherited as an

For the given DCT output and quantization matrix, calculate the run length encoded output using JPEG algorithm. 5,C05 1444 12 17 50 97 93 58 15 50 55 12 9 13 29 29 3 19 15 13 12 9 11 7 17 0 1 2 131 5 22 24 24237 N 12 13 2 1 DCT Output 8 5 55 57 6 d 6 5 8 8 555 13 8 45 12 42 7 11 6 5 29 10 4 29 1554 55 487 7 13 12 11 10 16 24 40 51 12 14 19 26 58

The progeny of a male parent with a normal X chromosome and a female carrier parent with one Duchenneaffected X chromosome and one unaffected X chromosome have a 100 chance of inheriting the Duchenneaffected X chromosome, if male. 100 chance of inheriting the Duchenneaffected X chromosome, if female. 50 chance of inheriting the Duchenneaffected X

What is variable length encoding Discuss the advantages of variable length encoding over fixed length encoding. Use the Huffman coding and compress the image shown in fig.2 (image matrix) and also calculate its compression ratio and relative data redundancy 20 20 20 18 16 15 15 16 18 15 15 15 19 15 17 16 17 19 18 16 20 18 17 20 15 Fig.2

There is a file that contains 5 unique characters a b c d e The frequency of the characters are a 10 b 5 1. Create the Huffman coding tree. 2. Assign a code to each letter. 3. Encode a b bedc 4. Decode 10011011111110 C 2 d 7 e 1 Answer the questions 1. What are the advantages of fixedlength encoding 2. What are the advantages and disadvantages of

The following table consists of training data from product sales. For a given row entry, count represents the number of data tuples having the values for attributes given in that row. Profession Gender Engineer M Lawyer M Engineer F F Lawyer Lawyer Lawyer M F Income H H H H L L count 5 20 20 5 25 25 Bought Smartwatch Yes No Yes No Yes No Build a

Write the following statements in Prolog a. If X is the father of Y, then X is an ancestor of Y. b. If X is the brother of Y and Y is the father of Z, then X is the uncle of Z.

Write a C program that uses nested for loops to produce the following 3 shapes. (2 nested for loops for each shape) 12345 1234 123 12 1 1 4444 0246 8 10 12 14 16 18 20 22

1 For the following Cspaces draw the path that each of the following path planning algorithms take to avoid the obstacles in the shown maps . Bug 0 II. Bug 1 III. Bug 2 2 Compare between the algorithms with respect to shortest path (if found). a Start Goal Goal Start b d Goal Start Start

Construct a formal proof of validity for each of the (MVN) (P.Q) P M (AVB).08782192202304following arguments 31202 (2 0120DC BVD 8219220230401202217b208 02217620

2. Write the output of the code below (5 marks) include int main() for(int c 1 c 50 c 5 ) printf( dt, c ) printf( Done ) return 0 (OUTPUT) Page 2 of 3

Consider the following recursive function if 0n3 s (n1 f(n1) f(n2) f(n3) if n24 f(n) (a) Write a recursive (topdown) algorithm to compute it. (10 marks) (b) What is the complexity of your algorithm (in bigO notation) (10 marks)

Consider the following function f(n) 6n 3n n log n 3n (a) State the order of magnitude (in BigO notation) of the function. (5 marks) (b) Prove that the function f(n) is of the order of magnitude as you stated above. (10 marks)

Write a function void squarecut (int n) that prints a square of size n with two corners cut. You can assume that n is odd and n 3. The following shows some example printing outputs for various function calls. (You may use to denote a space in your answer for clarity.) squarecut (3) squarecut (5) DU L UUU squarecut (9) wwwwwww

Write a program that gets the midterm, project, and final scores of 10 students from the user. The midterm, project, and final will be weighted by 30, 30, and 40, respectively. Accordingly, compute the final weighted scores of all students. Suppose that minimum passing score is the average of final scores. So, display the final score of each

1. Assume the following two single precision floating point numbers 31 30 29 28 27 26 25 24 23 22 21 20 19 0 1 0 0 0 1 0 0 0 0 0 0 1 1 1 0 0 0 0 0 1 0 0 1 1 0 A B 18 17 16 15 0 0 0 0 0 0 0 0 DecimalNumber (1) (1 Fraction) x 2(ExponentBias) 210 000 000 a) What is the decimal equivalent of the numbers represented by A and B (Assume bias is

A Customer class contains an encapsulated array field of Clothing items. How would you write a getItems method in the Customer class to return these items O public void getItems () return items Opublic Clothing getItems () return items O public void getItems (Clothing items) return items O public Clothing getItems () return items Confirm

Given Clothing item1 new Clothing (Blue Jacket, 20.9, M) How would you declare the clothing constructor Opublic Clothing (String description, double price, String size) Opublic void Clothing (String description, double price, String size) ... Opublic void Clothing (description, size) ..). Opublic Clothing (String description, double price) ...

How would you loop through the Clothing array items to calculate the total price of all items after tax The Clothing class has a public double field price. Assume the double variables total and tax are already declared. O for (Clothing c items) O for (Clothing c items) total total c.price (1tax) O forEach (Clothing c in items) total

Youve setup a Clothing class with a has a public double field price. Youve created two instances in your programs main method where item1 is a jacket and item2 is a shirt. Youve also created a double for a tax rate in the main method. How would you accurately calculate the aftertax total for two shirts and a jacket from the main method O double

1. Write down the optimum path from A to Z in your opinion. Calculate the search cost of your optimum path. 2. Find the optimum path in terms of time cost.Write down both the optimum path and the total cost attached to it. 3. Find the optimum path in terms of the space cost. Write down both the optimum path and the total cost attached to it. 4.

Youve encapsulated the Customer classs size field. The related setsize method requires an integer argument. This argument is translated into a string, which is used to set the classs size String field. You instantiate a Customer cl in the main method, which is written in another class. How should you set the size of customer c1 from the main method

what is the out of both program

include using namespace std void swap(double, double) int main() double grades3.4.5.6,7.8,3.2,1.3,7.6,3.9) for (int i0i 6i) for (int ji1j 7j) if (grades i

Given Employee department new Employee 10 What exception occurs when you try adding an eleventh employee to the department O ArithmeticException O NullPointerException O IOException O ArrayIndexOutOfBoundsException

You have a Customer class with a public String field size. In your programs main method, you create a Customer instance c1. How could you consolidate this switch statement, which is used to set sizes based on an int variable measurement switch (measurement) case 1 cl.size S break case 2 cl.size S break case 3 cl.size S break E

Given public Customer (String name, int measurement) ... How would you instantiate a Customer object using this constructor O Customer c1 new Customer (Pinky, S, items) O Customer c1 new Customer (Pinky, S) O Customer cl new Customer (Pinky) O Customer cl new Customer (Pinky, 3) Customer c1 new Customer () O Customer c1 new Customer (Pinky,

Youve created a Clothing class along with two instances item1 and item2. How could you create a Clothing array to store these two items O clothing items (item1, item2) O Clothing items (item1, item2) O clothing items item1, item2 O Clothing items iteml, item2 Confirm

Implement barrierwait with condvars. Threads call the mybarrierwait function to wait at a barrier until n threads have called mybarrierwait. Use the prototypes below. We have provided the initialization. In your implementation, be sure to reset the count to 0 when the barrier falls. Comments in your code are appreciated to help us understand your

Modify the function intfun written in class (posted on Blackboard) to calculate the integral between two anonymous functions using the midpoint rectangular integration rule. The new function should take the form Int int2fun (func1, func2, a, b, numrectangles) Where the integral is the area between two anonymous functions, func1 and func2. Its ok

Write the piece of python code to draw the following Note The canvas name is cn and it is 300 x 300. The rectangle is 200 x 150 and the radius of the circle is 45

Write MapleMatlab code to solve the following BVP y(t) 4y(t) y(0) 1 y(1) 3 using central differences, stepsize h 0.01 and 4 digits of accuracy. Show clearly all steps of the solution process. Answer the following questions Plot the matrix of the linear system (using for example Maples matrix browser tool), to exhibitvisualize the tridiagonal

You are given a tuple of integers. Write a Python program to create a new tuple with the same elements but with all even numbers doubled, and display at the end the original Tuple and the new Tuple. In your code, you should use one loop and one if statement. inputtuple (1, 2, 3, 4, 5, 6) Expected output Original Tuple (1, 2, 3, 4, 5, 6) New Tuple

Write a Python function point() that prompts the user for a player who wins a point and returns A if player A wins, B if player B wins, and Q if the user quits the game. Write function game() that keeps the score in the game and prints the winner of the game. Write function display() that prints the current score in accordance with tennis rules

point main game display

Define a Python class Rectangle that has length and width attributes. Overload the

1. Replace the incorrect implementations of the functions below with the correct ones that use recursion in a helpful way. You may not use the c keywords for, while, or goto also, you may not use variables declared with the keyword static or global variables, and you must not modify the function parameter lists. Finally, you must not create any

Draw schematic diagram to show what happens after the execution of the following instruction. a) LDS CX, SP (If after execution DS ABEOH, SSD750H, SP 0000H) b) REP STOSB (If before execution CX2, D0, DS10D5H, SI00BOH) 5 Suppose that DS 1ADOH, SS 1E5OH, BP 5BAOH and SI 01FEH. Write down the 5 examples for the following addressing modes using

Given a variable t that is associated with a tuple whose elements are numbers, write some statements that use a while loop to count the number of times the first element of the tuple appears in the rest of the tuple, and associate that number with the variable repeats. Thus if the tuple contains (1,6,5,7,1,3,4,1), then repeats would be assigned

Write a function productsandsums (pairs) that takes as a parameter a list of twoelement numeric tuples. The function returns a new list of 2element tuples of the same length, where each of the new tuples contains the product and sum of the elements in the input tuple. More formally, if the ith element of the list pairs is (a, b), then the th

Write a Python program that would do the following: 1) Prompt the user to enter a string. 2) The program should print the entered string in all lower case letters on the first line. 3) The program should print the entered string in all upper case letters on the second line. 4) The program should extract the first and last characters from the

Write a Python program (named Lab73.py) to a) Let user enter a string b) Extract the first five characters of the input string, and display the result o Use slicing expression to select the first five characters (from 0 to 5) from the input string. o Display the selected string on screen c) Reverse the string and display the result o Convert the

Write a python program that extracts a substring from the alphabet string based on the starting letter and the step. The step cannot be zero. The starting letter can be entered as lowercase or upper case. You need to validate the input as shown in the sample runs. Hintuse find method to get the index of the entered letter. Sample run 1 Enter

In Write a function that can solve this problem, i.e. computer, y, and b from a given list of orders and corresponding total prices. It happens that this isnt the first time this has occurred at the company. It will probably happen again. We want to make a function that will work on different numbers of widgets and orders. You talked to someone

5. Design a circuit that implement the state diagram shown. The circuit has one input signal W and one output signal Z. Directed edges that designate state transitions are marked WZ. Input signals can take on one of three symbols, 1, 0, or x. The symbol x means that the directed edge is really two directed edges, one for W 1, and the other for W

Write a Python program (named Lab74.py) to ask user to input a record information of a course class, and handle this record accordingly. Write a main () function O Ask user to input a record of course class containing 3 strings, as courseCode, courseName, classCode. Represent this record with a list of strings, by directly creating a list of this

1. Write a program that contains the recursive functions below (please note for all the functions, you must use recursion and not loops or built in Python functions) a. def power(x, y) This function should recursively compute the power of a number (x represents the number and y represents the power to which its being raised assume y will always

Write a program that uses a recursive function to raise a number to a power. The function should accept two arguments: the base (or number to be raised and the exponent). Create a main function that asks the user for the base, and the exponent. Use input validation to ensure that the exponent is between 2 and 50 inclusive. (Both the base and the

Write a Python simple program, to ask the user input a string, and display only the first quarter (one fourth) and the last quarter substrings of the input string. The program should be written in A2Q1A.py. Requirements 1. Ask user a string, and assign it to a variable astr 2. Extract the first quarter substring of the input string to a variable

Write a Mark Six python program The program should be written in A2Q2.py. Requirements 1. A function named generatemarksix() a. Create a list of integers containing six different integers just like the Mark Six b. Generate random number using the library random by random.randint () only (from 1 to 49) c. Use while loop in this question d. There

What is meant by inheritance in OOP Why does not Java support multiple inheritance What will be the output of the following Java code filename Main.java class Main public static void main (String args) System.out.println(fun()) int fun() return 20 Consider a class called Fraction that has two data members, an int numer and an int denom (for

1. Write a Python program that can find and perform string slicing to extract the portion of the string after the colon character and then use the float function to convert the extracted string into a floatingpoint number. String is as follows strfor901 XDSPAMConfidence0.8475 2. Write a Python program to split a given string using the delimiter

Write a function sumofrowscolumns in a Python file named 1ab12p2.py that takes a 2D list as a parameter and then returns a tuple containing two lists, the first list containing the sum of each row and the second list containing the sum of each column. Here is an example sumofrowscolumns (11,2,3, 4,5,6, 7, 8, 911) (6, 15, 24), 12, 15, 18)

Create 4tuples for the elements in the given 4 lists, Write a function that prints the sum of the first two elements of a tuple equal to the sum of the last two (Do not use headtail, where, ifelse statements.) (The code will be written in Haskell) Example functionname xa xb xc xd functionname 1,6 3,7 2,5 4,8 For lists 1,6 3.7 2,5 4,8, the 4tuples

1. Water at 40 F is pumped between two reservoirs at a rate of 0.2 fts through a 400 feet of 2inch nominal diameter, Schedule 40 commercial steel pipe and several fittings as shown in the figure below. Compute the pump horse power required to accomplish this, if the pump is 75 efficient. Use K 0.5 at the Entrance. Flow 90 standard elbow 100 ft

Write a Python script that consists of a single function definition a function named calculateu with three parameters a float r, an intial value p and a nonnegative integer n, (in that order). The function produces a list of values calculated by iteratively applying the discrete logistic map where for i0,..., n. Ui1 f(r, ui) when i 1 uop f(r, x)

Write a program that reads repeatedly from the keyboard a prefix expression, converts it to a fully parenthesized infix expression, and determines the value of the expression. Your program must use a stack (make use of the Java Stack class). Assume the prefix expression contains only integer numbers and the operators , , ,. After reading and

Design and implement the following function using the smallest possible multiplexer F (x, y, z,w) (1,2,5,7,8,10,11,13,15) What will be the size of Multiplexer to implement the above function Show all steps including the truth table and implementation to design the above circuit. Use x variable as an input of the multiplexer, and the rest of

Consider the 3 bit image bellow 4 4 9 5 5 1 2 1 1 0 4 3 4 3 1 4 1. Compute the histogram 2. Compute the corresponding normalized histogram 3. Compute the CDF 4. Compute the equalized image 5. Compute the corresponding normalized histogram 6. Plot the two histograms before and after equalization 7. Draw the resulting image after equalization.

Let the two primes p 41 and q 17 be given as setup parameters for RSA. a. Which of the parameters e 32,e2 49 is a valid RSA exponent Justify your choice. b. Compute the corresponding private key Kpr (p, q, d). Use the extended Euclidean algorithm for the inversion and point out every calculation step. Using the encryption key, encrypt the

Let the two primes p 41 and q 17 be given as setup parameters for RSA. 1. Which of the parameters e 32,e2 49 is a valid RSA exponent Justify your choice. 2. Compute the corresponding private key Kpr (p.q.d). Use the extended Eu clidean algorithm for the inversion and point out every calculation step.

4. Recall the SIR infectious disease model d.S dt aSI, dI dt dR B1 dt satisfied by a community with a fixed total population S I R consisting of sus ceptibles (S), infectives (I), and removalsindividuals recovered with full immunity (R). The parameters a and 3 are assumed to be positive constants which depend on the nature of the disease. aSI

Consider a 3layer neural network as a binary classifier whose parameters are (2) given by ww.b4 w21, 22,62), w), w, b2, and w3, b) (1) ,,(1) (3) 5 The parameters w represent the jh weight of neuron i at layer 1. Assume that the linear function is used as the activation function in the hidden layers of the network and the sigmoid function is used

3. Consider the Turing machine given by the following diagram 00,R acc 00, L R a f 00, L e 0,R 1 11,L rej g L 11,R 1 0,L R (a) What language (if any) does this language recognize (b) What language (if any) does this language decide

2. Consider the torsional bar shown below. T o The rigid bar is massless and of length L with a vertical force F at its end. A torsional spring at the bars base has torsion given by T k0, where is the angle of the bar from the vertical, and k is the torsional stiffness of the spring. The angle is sought where the system is in static equilibrium