EXERCISES Construct flowcharts to show the following: (i) Print multiplication tables from 1 to 5
Q: 1) Express the following statements in an Algebraic expression and solve them: The sum of two…
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Q: w this and cide cor
A: I give the code in python(because you have not specified any particular language ) for the above…
Q: 1. Determine |A|, where: _a. A = {z} _d. A = {z, {z}, {z, {z}}} _e. A = P({z}) f. A = P({Ø, z}) b. A…
A: Here, we are going to determine the |A| which means cardinality of set A. Cardinality means number…
Q: HW7_4 The acceleration due to gravity at an altitude y above the surface of the earth is given by…
A: Please upvote me please. I am providing you the answer below.
Q: 3. The Pauli matrices are defined as Here, i is the complex number satisfying i? = -1. Prove each of…
A: Hence the answer..
Q: 6.6.2 Example B The equation z(k, l) = kA12(k, 1) +1A22(k, l) + (A12)² cos[A2z(k, 1)] (6.145) has…
A: Here we have an equation and we need to solve this equation and explain how this equation made by…
Q: 3: The function f(x)= max x, searches for the maximum value between a number. Prove formally that…
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Q: 5. Prove that H(X,Y)=H(X/Y)+H(Y) =H(Y/X) +H(X)
A: Hello Student Greetings Hope you are doing great. I will try my best to answer your question. Thank…
Q: 8) (1 mark) Prove that the L.H.S. & R.H.S for the following expression are similar: A . (A'+ B) =…
A: Truth table: A B A' B' (A'+B) A.(A'+B) A.B 0 0 1 1 1 0 0 0 1 1 0 1 1 1 1 0 0 1 0 1 1…
Q: Q1 /Let y = f(x)= - , find y', y", y"", and y)
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Q: 5- Find the limits of the following functions at indicated values. x12-1 (a) f(x) = x x3-1X →1…
A: Limits of the function shown in question at indicated value is given by using Matlab program as…
Q: ounts of nuts and dried fruit is provided during lunch. Suppose that the number of calories in each…
A: Q. In an elementary school, a mixture of equal amounts of nuts and dried fruit is provided…
Q: f the domain for the variables consists of a)the positive real numbers. b) the integers. c) the…
A: It is defined as In logic and mathematics, a truth value, sometimes called a logical value, is a…
Q: Which property of real numbers is demonstrated by this equation? a (b+c+d) = ab+ ac+ ad which…
A: It is Distributive Property
Q: Problem #2: A number is divisible by 11 if the difference of the sum of its digits at odd places and…
A: I have given an answer in step 2.
Q: A circle in the XY-coordinate system is specified by the center coordinates (x, y) and radius (r).…
A: C programming language is a basic programming language, that's used to develop software like…
Q: 5-Find the solution of the following LP problem using simplex method. Min F =12x, +5x, St. 4х, + 2х,…
A: Here is the detailed explanation of the solution.
Q: 1. (Direct Proof) Suppose a is an integer. If 7|4a, then
A: a is an integer if 7/4a then 7/a
Q: 4.2.22 For each of the codes C = (S) with S defined below, find the generator polynomial g(x) and…
A: Generator Polynomial g(x) for each code C are: Solution a) S = {010, 011, 111} 010 = 0*x^2 + 1*x^1+…
Q: 3. Implement the following functions using 16x1 MUX: F (A, В, С, D) 2(1,3,4, 11, 12, 13, 14, 15)€
A: Answer..
Q: Show that if Pref(L) = {w
A: The answer for the above question is given below. Regular Language: In theoretical computer science…
Q: 1. Derive the modified distance formula if we want the projectile lands on a hill that has a height…
A: The sample code is provided in the next step:
Q: 3- Simplify the following equation: S(A, B,C,D) = {(0,3,4,6,10,11,14,15) dm(2,7,8,12) where dm is…
A: The K-map is a technique used to simplify boolean expressions. It is represented in a form of a…
Q: 5. In this problem you will need to use complex number arithmetic. Assume that the equation f(x) = 0…
A: Let's solve the first one 5(a)
Q: Problem #2: A number is divisible by 11 if the difference of the sum of its digits at odd places and…
A: Hello Student, hope you are doing well, I will be trying my best to explain and fulfill your query.…
Q: 2. Multiply the four polynomials by 4, 5, 6, and 7, in t 3. Find the roots of each four given…
A: 3. Code: f=[1 -8 0 -9 -6]; g=[1 1 -3 1]; h=[3 -8 -37 2 4]; p=[2 3 -2 5]; disp("Roots of…
Q: Problem #2: A number is divisible by 11 if the difference of the sum of its digits at odd places and…
A: import java.util.Scanner; class Main { publicstaticvoid main(String args[]) { Scanner sc = new…
Q: 51. Let L, W, and P denote the length, width, and perimeter of a rectangle, respectively, and…
A: Multiple questions are asked at once so first question with 3 parts will be answered. Please upload…
Q: 3- Simplify the following equations :
A: In this question, we are asked to write a C++ program to find out the given equations: F = F +…
Q: II. Laboratory Excercises A. Polynomials f(x) = x* – 8x³ – 9x – 6 g(x) = x³ + x? – 3x + 1 %3D h(x) =…
A: ANSWER:-
Q: Using laws of logic, verify that the following statements ∼((∼p ∧ q) ∨ (∼p ∧ ∼q)) ∨ (p ∧ q) ≡ p
A: The laws of prepositional logic are shown below. Prove that: ∼((∼p ∧ q) ∨ (∼p ∧ ∼q)) ∨ (p ∧ q) ≡ p…
Q: The number 72 is to be represented as the sum of two positive parts, such that the product of one of…
A: - We need to highlight the numbers according to the facts asked. - Maximum number findings is used…
Q: 1 Quadrature Debye's formula for the heat capacity of a solid is Cv = 9g(u) kN, (1) where the…
A: Answer is given below.
Q: V = {S}, T = {a, b}, S = S, P = S → SS | aSb | ε | a Derive "aaaabaabb". Show your solution.
A: Given V = {S} T = {a, b} S = S P = S → SS | aSb | ε | a S → SS | aSb | ε | a
Q: 14. Function f and g are defined by formulas as shown below. f (x) = x3 and g(x) = x - 1, for all…
A: => here i find what is ask in question in below image.
Q: 3) Each function f is defined as f: R -> R. Prove why each function is one to one or not one to one:…
A: In one one function, each element of one set have an one element of another set. In given functions…
Q: Convert the following machine into necessary format and then find the regular expression using…
A: In this question, we are given a finite automated machine and for that we have to find out the…
Q: Science
A: The function f(x)= Sin(x) – x 3 + C Where C = Max [0.15, (69/100)] x20, (x is in radian) is…
Q: 6. In the conversion from Celsius to Fahrenheit, identify each of the following:
A: Reading the value in Java program by using the scanner class object and storing it in the variable…
Q: Problem 4: Determine the truth value of each of the following statements. We assume that the domain…
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Q: 4. One of the most common uses for matrices is in solving a set of linear equatie e.g., we have…
A: clc clear A=[3 2 1; 1 1 3; 2 -1 2] B=[2;2;1] %Ax=B, therefore x=B/A x=B./A x=linsolve(A,B)
Q: 4. Define s, u, and d, all functions on the integers, by s(n) = n² , u(n) = n + 1, and d(n) = n – 1.…
A: the given solution below will provide all functions on integrs by s(n)=n2,u(n)=n+1 and d(n)=n-1
Q: 2/ The force between two charges is 120 N. If the distance between the charges is doubled, the force…
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Q: Problem #2: A number is divisible by 11 if the difference of the sum of its digits at odd places and…
A: import java.util.Scanner; public class Main { public static void main(String args[]) {…
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- please code in python You place a pawn at the top left corner of an n-by-n chess board, labeled (0,0). For each move, you have a choice: move the pawn down a single space, or move the pawn down one space and right one space. That is, if the pawn is at position (i,j), you can move the pawn to (i+1,j) or (i+1, j+1). Ask the user for the size of a chessboard, n (integer). Find the number of different paths starting from (0,0) that the pawn could take to reach each position on the chess board. For example, there are two different paths the pawn can take to reach (2,1). Look at the diagrams below to convince yourself of this. You can see the four paths that you can take by move 2. Start -> Move 1 -> Move 2 (0,0) -> (1,0) -> (2,1) (0,0) -> (1,0) -> (2,0) (0,0) -> (1,1) -> (2,1) (0,0) -> (1,1) -> (2,2) Print the board with the number of ways to reach each square labeled as shown below. For example: Enter a board size: 4 1 0 0 0 1 1 0 0 1 2 1 0 1 3 3 1PYTHON: In order to beat AlphaZero, Grandmaster Hikaru is improving her chess calculation skills.Today, Hikaru took a big chessboard with N rows (numbered 1 through N) and N columns (numbered 1 through N). Let's denote the square in row r and column c of the chessboard by (r,c). Hikaru wants to place some rooks on the chessboard in such a way that the following conditions are satisfied:• Each square of the board contains at most one rook.• There are no four rooks forming a rectangle. Formally, there should not be any four valid integers r1, c1, r2, c2 (≠r2,c1≠c2) such that there are rooks on squares (r1,c1), (r1,c2 (r2,c1)and (r2,c2).• The number of rooks is at least 8N.Help Hikaru find a possible distribution of rooks. If there are multiple solutions, you may find any one. It is guaranteed that under the given constraints, a solution always exists.InputThe first line of the input contains a single integer T denoting the number of test cases. The first and only line of each test case…P1 P2 P3 P4 A pentagonal number is one that corresponds to dots arranged into a pentagon. Above are the first four pentagonal numbers and their pentagons. The pentagonal number PN has sides made of N dots. When you count the dots for a pentagonal number, include the dots for the inner pentagons. So to figure out how many dots PN has, find out how many P(N-1) has and add the dots for the new sides of size N. P1 = 1, P2 = 5, P3 = 12, P4 = 22 Figure out a recursive formula for PN and then write a function that implements it. That is, implement pentagonal() using recursion. pentagonal(1) -> 1 pentagonal(2) -> 5 pentagonal(3) -> 12
- Summary: Given integer values for red, green, and blue, subtract the gray from each value. Computers represent color by combining the sub-colors red, green, and blue (rgb). Each sub-color's value can range from 0 to 255. Thus (255, 0, 0) is bright red, (130, 0, 130) is a medium purple, (0, 0, 0) is black, (255, 255, 255) is white, and (40, 40, 40) is a dark gray. (130, 50, 130) is a faded purple, due to the (50, 50, 50) gray part. (In other words, equal amounts of red, green, blue yield gray). Given values for red, green, and blue, remove the gray part. Ex: If the input is: 130 50 130 the output is: 80 0 80 Find the smallest value, and then subtract it from all three values, thus removing the gray.Growing Triangles, cont. 1 2 3 The first figure is made up of three line segments of equal length. You can think of the second figure as made of nine segments of that same length, and so on. 5. Find the number of segments of the given length that would be needed for the tenth figure in this sequence. 6. Explain how you would find the number of segments of the given length that would be needed for the 100th figure in this sequence. 7. Write a rule for determining the number of segments of the given length for any figure in this sequence. Explain why your rule works. This activity was adapted from Driscoll, M. Fostering Algebraic Thinking, Heinemann 1999.Summary: Given integer values for red, green, and blue, subtract the gray from each value. Computers represent color by combining the sub-colors red, green, and blue (rgb). Each sub-color's value can range from 0 to 255. Thus (255, 0, 0) is bright red, (130, 0, 130) is a medium purple, (0, 0, 0) is black, (255, 255, 255) is white, and (40, 40, 40) is a dark gray. (130, 50, 130) is a faded purple, due to the (50, 50, 50) gray part. (In other words, equal amounts of red, green, blue yield gray). Given values for red, green, and blue, remove the gray part. Ex: If the input is: 130 50 130 the output is: 80 0 80 Find the smallest value, and then subtract it from all three values, thus removing the gray. Note: This page converts rgb values into colors. 461710.3116374.qx3zqy7 LAB ACTIVITY 1 111 4.10.1: LAB: Remove gray from RGB Type your code here. 111 main.py 0/10 Load default template...
- Summary: Given integer values for red, green, and blue, subtract the gray from each value. Computers represent color by combining the sub-colors red, green, and blue (rgb). Each sub-color's value can range from 0 to 255. Thus (255, 0, 0) is bright red, (130, 0, 130) is a medium purple, (0, 0, 0) is black, (255, 255, 255) is white, and (40, 40, 40) is a dark gray. (130, 50, 130) is a faded purple, due to the (50, 50, 50) gray part. (In other words, equal amounts of red, green, blue yield gray). Given values for red, green, and blue, remove the gray part.Q15. * After performing the operations: dequeue(), dequeue(), enqueue('S'), the value of Front becomes ........ 4 O 1 O 3 O 2 0 E Front 1 X 2 A 3 M Rear 4If you have a square matrix (N X N) and N is an even number like (N=8), we may divide the matrix into 4 quarters. Using C++ language write a program to swap the elements in the 1st Quarter With the elements in the 4th Quarter. In other term swap the green elements with the yellow elements. 1st Quarter 2nd Quarter 3rd Quarter 4th Quarter
- Fibonacci numbers have a lot of numerical properties. A few can be mentioned is that the squares of the Fibonacci numbers added together by the consecutive number you get the next Fibonacci number, and when you add the squares together it also results to the Fibonacci sequence. Another is when adding the squares of the Fibonacci numbers for example one plus one plus four is six. Add nine to that, we get 15. Add 25, we get 40. Add 64, we get 104. Fibonacci shows here. Six is two times three, 15 is three times five and so on. Last to be mentioned is when you divide 13 by eight, you get 1.625 and if you dividde this larger number by the smaller number, the ratios get closer and closer to about 1.618. Now the question is, what other numerical properties can you identify in the Fibonacci sequence ASIDE from those mentioned above and verify your assumptions.Exercise III: Catalan numbers For n e N, denote by c, to be the number of ways to form a "mountain range" with n upstrokes (U) and n downstrokes (D) that all stay above a horizontal line. For instance: for n = 1, only UD is allowed, so c = 1; • for n = 2, only UUDD and UDUD are allowed, so c2 = 2. 1. Check that c3 = 5 by writing down or drawing all possible options. 2. Consider the power series +00 g(x) = 2 n=0 (by definition co = 1) called the generating function of the sequence (en). Justify that cn < 4" for each n, and deduce that the radius of convergence of g is at least 1/4. 3. It can be show that for r E (-1/4, 1/4), g(x) = 1+ xg(r)? and therefore 1- VI 4.x g(x) = 2.x Use this formula and the known power series of V1+ x to write the first terms of the power series expansion of g, in the form g(x) = co + c1x + c2x2 + C3x + c4x* + ·.. Show how you obtain a few terms, but you do not need to show all computations and you can use a calculator for fractions. Check that you recover co,…I'm C# implement a method that squares passing variables and returns their sum based on the Sum of Squares algorithm below (image attached).