Suppose p, q, r, s are propositions such that p ^ q is true and r v s is false. Determine the truth value of each of the following propositions.  6. (s v p)<->(q ^ r) 7. ~ [p v (s <-> q)] -> r 8. ~ (p v q) <-> (r -> s) 9. [q v ( s <-> p )] -> ~r 10.  (q v r) -> [~s v (p <-> q)]

Q: QUESTION 2 Let F(x.y): "x is friend with y", N(x): "x is funny", W(x): "x is wise", R(x): "x is…

A: your question is about the symbolic representation of the sentence F(x,y) = "x is friend with y".…

Q: >> a=[1;4;7]l; b=[2;-1;5]; >> c=dot (a,b) C = 33 >> d=cross (a, b) d = 27 6. -9 > x=a;y=Db'3; >>…

A: Since you took transpose of a and b as x and y ,hence cross product is also transpose. But as dot…

Q: Let the universe of discourse of x and y be the set of integers. Let P(x, y) denote "x = y^2." Then,…

A: Let's analyze each statement: Step 1: ThereExists x ForEvery y NOT P(x, y): This states "There…

Q: Consider the following pseudocode ALGO which takes as input an array A containing n integers. Assume…

A: Introduction: In this question, we are given a code snippets and asked to give some sub questions on…

Q: Subject: Mathematics in the Modern World Topic: The Language and Grammar of Mathematics  1. Which…

A: Given questions are multiple choice questions.

Q: def arange(start, end, step=1): arange behaves just like np.arange(start, end, step). You only need…

A: Python code is given below  to implement a function arrange which behave just like np.arange (start…

Q: Q2 / A/ plot the function Z = 3 (1- х)'е - х?- (у+1) 2 -10х - х* - у5) е - х? - у? -е- - y? 3 where…

A: Since no programming language is mentioned, I am using Matlab. Code: x=-3:3; y=-3:3;…

Q: Sample Input 0 1 100 25 3 50 Sample Output 0 105

A: Algorithm: Include header files and namespace std Create a function Max(int x, int y) Return…

Q: Let p, q, and r be propositions, meaning that they can take values either T or F, where T stands for…

A: We know that for p-&gt;q the rule is:p = T, q = T, p-&gt;q = Tp = T, q = F, p-&gt;q = Fp = F, q = T,…

Q: What type is inferred for a, ß, and for the variable xs? let xyz (a : a) : B %3D let rec abc a match…

A: Answer: I have given answered in the  brief explanation

Q: Write a function f1 that takes the root of a binary tree as a parameter and returns the sum of the…

A: Given seventh digit of your I'd is 6 which is an even number So, we have to return the sum of nodes…

Q: Letting r stand for "The food is good," p stand for "I eat too much," and q stand for "I'll…

A: (r ^ p) -&gt; q is the correct answer Explanation:- This is the correct answer because ^ this stands…

Q: Making Change Assume we have a set of N>0 tokens each of different value {v1, v2, …, vN} with an…

A: Looks like a classic dynamic programming problem! Here's a possible implementation in C++:

Q: Consider the Universal Set U= {1,2,3,...} and sets A={1,2,5,6} „B={2,5,7},C={1,3,5,7,9} the AIC is…

A:

Q: Consider the following functions: ● log2 x ● x.log₂ x • (3/2)* • x/log₂ x • 2x • √x • x² • (log₂ x)²…

A: The order of growth of a function is a way to measure the rate at which the function's value…

Q: Python Big-O Coding will give high rating if answers are correct

A: SUMMARY: -Hence, we discussed all the points.

Q: Input: A set of n movies. A positive integer k. A positive integer q. A function f that takes two…

A: Write an algorithm for  a set  оf  n  mоvies.  А  роsitive  integer  k.  А  роsitive  integer  q.…

Q: Implement function triangleArea(a,b,c) that takes as input the lengths of the     3 sides of a…

A: As the programming language is not mentioned in the question, we are giving the solution in 2…

Q: 3. Unimodal Sequence Given n2 1, a sequence of n integers a[0],..., a[n-1] is unimodal if there…

A: Let's solve the problem step by step:   Since programming language is not given so using C++.…

Q: Consider the function below written in Python3: def foo(a, b=[1]): if a <= 1: return b b_new = [b[i]…

A: SUMMARY: -Hence, we discussed all the points.

Q: Let S = {3, 8, 12, 19}. Which of the following expression(s) is/are true? a. 12 ∈ S b. 3 + 8 ∈ S…

A: Solution The correct answer is a. 12∈S (True) The element 12 is present in the set S, so this…

Q: P(x): "x is a kind-hearted person". Q(x): "x is an honest person".

A: ∃ (there exists ) menas atleast ~q  Not a honest person ~p not a kind hearted person So there exists…

Q: "Let p = "You will get sick." Let q = "You eat." Let T="You are hungry." Which of the following…

A: Given information: Let p="You will get sick" let q="You eat" let r="You are hungry" find  "You are…

Q: Using C++, code the following problem: In this problem, we are given a knapsack of fixed capacity…

A: the answer is given below:-

Q: B. Construct the mathematical statement of the following. (8-14) •P = "JR comes to the party" •Q =…

A: Solution: CK comes only if KL comes means S-&gt;R. This implies either 1st option is correct or the…

Q: 2. Let n be a positive integer, and let A be a list of positive integers. We say that the integer n…

A: The algorithm works by checking if n can be factorized using the numbers in A. It starts with the…

Q: 3. Given the function void f(n, m): input: two integers n, m, both of which are in form of 2⁰ i ← 1;…

A: Introduction: Big O Notation is a method for expressing the temporal complexity of algorithms. It…

Q: If the first number in a sequence is a positive integer, x Let ao= x, an is defined as follows if an…

A: Following is the C++ program that reads a file input.txt using ifstream operator. If the file is no…

Q: Define function p:cat represents set concatenation ◦, which concatenates every pair of strings from…

A: Two or more sets are used to perform multiple operations as per user requirement Various types of…

Q: Cut.1: Write a pseudocode program deck_1 that will take the number of cards in the deck and the cut…

A: The function first creates a list to represent the deck. This is done using the list() function,…

Q: If anyone is a honest politician, Mary is. F: a is honest. G: a is a politician. A: Mary v Choose.…

A: Below are the answers with explanation

Topological Sort

Topological sort is a sorting technique that sets up a hierarchy in a process. In this technique, when a directed network has nodes connected by arrows, the root node is placed before the successor node.