Prove (A n B) n A = Ø.(An B)nĀ = (Bn A)NĀ?= Bn (AnĀ)?= BnØ?= Ø?><>>

We are given few statements and we have to find if they are equivalent or not. Please refer to image…

Answered: Prove (A n B) NA = Ø. (AnB)NĀ = (B A)…

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Prove (A n B) NA = Ø. (AnB)NĀ = (B A) NĀ ? = Bn (AnĀ) ? = BnØ %3D ? %3D ? >

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Suppose we have a nice young couple who borrow $700000 from the bank, at an annual interest rate of3.124%. The mortgage is a 30 year loan, so they need to pay it off within 360 months total. Our happycouple decide to set their monthly mortgage payment at $2000 per month. Will they pay off the loan intime or not?Note that the monthly balance will be calculated asbalance = (im × previous balance) - monthly paymentwhere the convert annual interest to a monthly multiplier im is calculated as im = (1 +i)1/12 and i = annualinterest rate.Write a loop for track the total payment in 360 months so that we can evaluate if the couple can pay off theloan. Write in R Please and thank you.
Can you provide solution for last part (1.4) here? If possible 1.1 again.
Q2/ If a cubic equation is expressed as ax3 + bx2 – cx + d = 0 C++ and we let A= 18abce – 4b³d + b?c? – 4ac³ – 27a?d? we can determine the nature of the roots as follows A>0 : three distinct real roots A= 0: has a multiple root and all roots are real A< 0: has one real root and two non-real complex conjugate roots Incorporate this into a C++ program to determine the nature of the roots of a cubic expression from suitable input.
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def solve_n_queens(n): def is_safe(board, row, col): # Verificar la columna for i in range(row): if board[i][col] == 1: return False # Verificar la diagonal izquierda i, j = row, col while i >= 0 and j >= 0: if board[i][j] == 1: return False i -= 1 j -= 1 # Verificar la diagonal derecha i, j = row, col while i >= 0 and j < n: if board[i][j] == 1: return False i -= 1 j += 1 return True def solve(board, row): if row >= n: solution = [] for r in board: solution.append("".join(['R' if x == 1 else '.' for x in r])) solutions.append(solution) return for col in range(n): if is_safe(board, row, col): board[row][col] = 1 solve(board, row + 1)…
def solve_n_queens(n): def is_safe(board, row, col): # Verificar la columna for i in range(row): if board[i][col] == 1: return False # Verificar la diagonal izquierda i, j = row, col while i >= 0 and j >= 0: if board[i][j] == 1: return False i -= 1 j -= 1 # Verificar la diagonal derecha i, j = row, col while i >= 0 and j < n: if board[i][j] == 1: return False i -= 1 j += 1 return True def solve(board, row): if row >= n: solution = [] for r in board: solution.append("".join(['Q' if x == 1 else '.' for x in r])) solutions.append(solution) return for col in range(n): if is_safe(board, row, col): board[row][col] = 1 solve(board, row + 1)…
In a hypothetical study of population dynamics, scientists have been tracking the number of rabbits and foxes on an island. The number of rabbits and foxes are determined once a year using high resolution infrared cameras and advanced computer vision methods.Each year, the number of rabbits and foxes are found to change by the following equations: $$ {\Delta}R = round( kr*R - krf*R*F ) $$ $$ {\Delta}F = round( -kf*F + kfr*R*F ) $$ where $ {\Delta}r $ and $ {\Delta} f $ are the changes in number of rabbits and foxes by the end of that year; and R and F are the population sizes at the end of the previous year. kr, krf, kf, kfr are coefficients that depend on the species of rabbits and foxes.With these dynamics, the scientists realize that one or both species can become extinct on the island. At the end of each year, if there are fewer than 2 animals of a kind, the scientists transfer rabbits and/or foxes to make sure there are at least 2 of each kind.Write a function…
Let A = {1, 13, 100} and B = {7, 13}. Then: (d) What is the powerset of B? (e) What is { (f) What is { € A | Vy € B, x > y} € A ³y € B,x > y}