1- Question What will be the output of following piece of code? System.out.println("The result is " + 7/2); a) 0 b) 1 c) 3 d) 3.5 a) correct answer: a b) correct answer: b c) correct answer: c d) correct answer: d Leave blank

Q: Let S be a set of n lines in the plane such that no two are parallel and no three meet in the same…

A: Let S be a set of n lines in a plane such that notwo are parallel and no three meet in the same…

Q: Solve the following homogeneous recurrence equation and obtain the general solution and the solution…

A: Step 1:Step 2:

Q: c) Knowing that we have the equality: 12Ax+3 determine the value of x and encircle it. = B2 her

A: To determine the value of x in the equation 12Ax+3 = B2hex, we need to solve for x. Let's break down…

Q: Prove that f(x) = x is O(x3).

A: Attached image below:

Q: Given that h(p)=p2−3p+5, Find;h(x-3)

A: Given: h(p)=p2 + 3p + 5 then, by putting p=x-3 h(x-3) = (x-3)2 + 3(x-3) + 5           = x2 + 32…

Q: so the solution would be that the number of 0's is odd and there can be any number of 1's?

A: DFA - A DFA (Deterministic Finite Automaton) is a mathematical model that represents a finite state…

Q: Compute the log2 (50).

A: log2(50) = log2(5 × 10) = log2(5) + log2(10) = 2.3219280948874 + log2(5×2) = 2.3219280948874 +…

Q: 3. Use a truth table (either by hand or with a computer program) to prove the commutative laws for ^…

A: The commutative law for ∧ is p∧q≡q∧p lets create truth table for the law p q p∧q q∧p T T T T…

Q: 3. Use Gaussian elimination and backward substitution solve the following linear system of equations…

A: The code uses Gaussian elimination and backward substitution to solve a linear system of equations…

Q: Solve for x: 7x = 3 mod 11

A: The question is to solve for x: 7x ≡3 mod 11

Q: =X. Use algebraic manipulation to prove that (x + y) (x+y)=

A: Given,Use algebraic manipulation to prove that (x + y) · (x + y') = x

Q: Problem 3: Use one of the proof methods to prove the following results. 1. Use a proof by cases to…

A: ANSWER:-

Recurrence relation

A recurrence relation or recursive relation is an equation that represents a function in terms of the values of its smaller inputs. Every recurrence relation T(n) is a recursive function of integer n and consists of a base case and a recursive case.