33. The diagonals of a parallelogram bisect each other.

Q: Use the fractal pattern to write the recursive and explicit formula. a. What is the pattern? List…

A: The pattern of a figure is given, we have to find its recursive and explicit formula.

Q: Question 6. The goal of this exercise is to make sure you understand √x² = ]x] and in general √x²…

A: a) The fact that for any real number a such that a>= 0, there is a unique number sqrt(a)>= 0…

Q: Represent in the Argand Diagram all such z for which |z+ 12 - 5i| < 6

A:

Q: (b) Prove that 1(1!) + 2(2!) + 3(3!) + for all positive integers n. ... + n(n!) = (n + 1)! - 1

A:

Q: only Q3: It is given that ε = {x: x is an integer, 1 ≤ x16} A = (x:x is a perfect square} B = {x:x…

A:

Q: ² + y² + z² x+y+z 7x+y+z > x*y³z² > x+y+z 3 7x+y+z

A:

Q: We assume that x0. Therefore there exists a natural number n such that n> Since z is fixed we can…

A: Suppose that x and y are 2 distinct real numbers. We have to prove that, there exists a rational…

Q: Suppose ne N. Then the following equation is true: () - ) -)-) - + (-1 = 0. + 3 How can this…

A: Let's find.

Q: For example, if I wanted to prove this statement using a direct proof, I would start as follows: Va,…

A: This question is related to Number Theory

Q: if |z² + 1| = 2| z+1|  z e C then | z|  <= sqrt*7 Prove.

A: Given  z2+1=2z+1 , z∈ℂ            (i) Now,   z2+1=2z+1z2+12=4z+12 ,…

Q: A proof for question 4 please

A: According to the given information it is required to prove that for every integer n,

Q: Find an explicit formula for 1/(2-1/2), 2/(3-1/3),3/(4-1/4),4/(5-1/5)...

A:

Q: 1. Get examples of: o a theorem with a direct proof, and o a theorem with an indirect proof. The…

A:

Q: Find an integer n that would guarantee Simpron's Rule S, to be within 10-8 of ³/2dx. You do not need…

A: Given Information:To find:The integer  for Simpsons' Rule.Concept used:Accracy on Simpson's rule…

Q: Discrete Mathematics: 3. Prove: 7n -1 is divisible by 3 for n ³ 0

A: We need to prove that the number 7n-1 is divisible by 3 for n&gt;0. We do this as follows: Case-1:…

Q: Perform a Proof by Contradiction for the following... 1. sqrt(2) is an irrational number

A:

Q: show that: (For real nu

A:

Q: Prove the following statement using a direct proof. If x and y are rational numbers, where y # 0 and…

A:

Q: len ([4, 5, 6])

A: Given: len4,5,6 To find: Value of the given expression.

Q: 1. Use the fractal pattern to write the recursive and explicit formula. a. What is the pattern? List…

A:

Q: See Image for the Question

A: Here, the idea is to write xy - x0y0 in a way that it becomes easy for us to solve.

Q: Prove the following statements. These exercises are cumulative, covering all techniques addressed in…

A: Note: since you posted multiple questions. As per our guidelines we can solve only one problem at a…

Q: Find k such that, 2 det 4 li0 -8 -5] -1 -7 = 510 k 0 .

A: Given det2-8-54-1-710k0 =510 we have to find k

Q: Find the following twice: once with the charts and once with your calculator. Sketch a picture that…

A:

Q: Click and drag the steps to show that at least three of any 25 days chosen must fall in the same…

A: In discrete mathematics, there are two basic methods for proving a statement is true: proof by…

Q: (12) (a) Prove that if x € Z and r² is even, then x is even. (b) State and prove an analogous…

A: We prove following statements by using contrapositive method.

Q: 1. (2 points) Write a response that's at least five sentences to the following: A calculator display…

A:

Q: For (a), could you please provide a generic proof for ANY 3-digits number?

A: let the three digit number isN=abc  this can also be written as N=100a+10b+c take mod 9 to N…

Q: Problem 1. Let M = 14 -5 −1 9] 10 Find formulas for the entries of M", where n is a positive…

A: The given problem is to find the matrix Mn for the given following matrix M. We have to find the…

Q: Ex 3.6.2 Suppose p is a prime, (a, p) = p° and (b, p) = p. Find (a + b, p*).

A:

Q: Non-Calculator Find the extrema by a) finding critical numbers, b) setting up a sign line, and c)…

A: As per our guidelines we are supposed to answer only one question. Kindly repost other question as…

Q: 4-1) Compute the following arithmetic operations that are used in different stages of the previously…

A:

Q: Use Parseval's equality to show that 776 960 = n=1 1 (2n-1)6*

A:

Q: How would you solve this using direct proof

A: Step 1: Recall some definitions.  Step 2: Given informations. Step 3: Proof of the statement.

Q: Explicit formula for an arithmetic formula an = a + (n - 1)d)

A: Explicit formula for an arithmetic formula is       an = a1 + (n-1)d  Where an is the value of the…

Q: Question 1. Let æ be an integer. Using a proof by contrapositive, show that if x² – 16x – 7 is odd,…

A: I have stated each and every logics in steps.

Q: Use your work from problem 2 and the method used in the example at the end of Lecture 16 to solve…

A:

Q: R.4. Prove that for any positive integer n, (6) + 2 (4) + 2² (5) + 2³ (3). ... + 2" = 3".

A:

Q: If –8cos 0 – 4 = -4, where 0 <0 < 2n,what are the values of 0?

A: Zgeneral solution for cos x = 0 will be x = (2n+1)π/2, n∈I, as cos x has a value equal to 0 at π/2,…

Q: b) Find an integer x such that 37x = 1 (mod 101).

A:

Q: Write the following expressions in a more compact way (i.e., using index i, j as above). 1. C11 C2x2…

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.