Problem 4. Let n be an integer. Show that if 2 + 2/1+ 12n² is an integer, then it is the square of an integer.

Q: Problem 6: Let n be a positive integer. Prove that we have the inequality of partition numbers p(n)?…

A: Let p(n) be the solution such that: p(n) : n2≤n2+2n For n=1, 12≤12+2(1) which is true, Now, Let's…

Q: Perform the indicated elementary row operations.

A: Given: -52-3310-31-20-1318

Q: Problem 5. Using the definitions for O and N, prove formally that a) n³+15n+2 is O(nª) b) 2n³ +25n…

A:

Q: Problem 6.4 Suppose that n is a positive integer. Justify the identity 2 2n ()

A:

Q: QUESTION 6 Show by contradiction that if 10x2+ 2 is irrational, then x is irrational. 5

A:

Q: Problem (4): Find the number of ways that 9 toys can be divided between 4 children if the youngest…

A:

Q: Problem 3.1 Prove that if x is a positive real number, then LV[]] = [V]

A:

Q: Problem 7.1.2. Let a and b be real numbers with b > 0. Prove |a| < b if and only if -b < a < b.…

A:

Q: Problem. 12: Gator Toyz has decided to manufacture a new set of blocks for children, each of which…

A:

Q: Problem #18 (2/3)^-3

A: Given that : 2/3-3 We need to simplify it.

Q: Problem 2: Show that (n + 23)³ is O(n³)

A: f(n)∈O(g(n)) iff ∃ scalars C,n0 such that f(n)≤Cg(n) ∀n≥n0

Q: Problem 2. MAGA hats are on sale at 90% off, so Don has purchased 19 of them. Now he wants to gift…

A: Multinational theorem provides an easy way to expands the powers of a sum of variables In above…

Q: 5n — 2п 38. E n=2 п+1

A: given series ∑n=2∞-2nn+15nWe apply here root test to determine whether the series converged or…

Q: Problem 3: Let n be an even positive integer. Show that when n people stand in a yard at mutually…

A: Yes

Q: Problem #17: 3 Carl says that 8 3>2 and 8>3 How would you help Carl? because

A: given problem carl says that  38&gt;23 because  3&gt;2  and 8&gt;3 . how woluld you help car key…

Q: Problem 9. Show that each of the follouring numbers is irrational: (a) v3 (b) v5 (c) V2

A: To show that the below number is a irrational number. 23

Q: ive the LP problem. If n

A: Introduction: The following are the major steps in this method. (i) Mathematically express the…

Q: 5- 25 + 4 (s + 1)(s + 2)°

A: This is a problem of Laplace Transform.

Q: Problem 4. Let n be an integer. Show that if 2+ 2/1 + 12n2 is an integer, then it is the square of…

A: The given problem is to prove the following given statement.

Q: Question 16 2.01 > 3.1k + 3.5 + 5.95 Ok<-11.6: -16 -14 -12 -10-8 Ok<-2.4 A S3

A: 2.01&gt;3.1k+3.5+5.952.01&gt;3.1k+9.452.01-9.45&gt;3.1k

Q: Problem 3.1 What is 18% more than 61?

A: Actual number =x  Rate of Increase= r  Then new number= x(1+r/100)

Q: an=5n(n+2)

A: given : an=5n(n+2) as you can find any term of sequence it is explicit formula.

Q: Problem 3: Prove (directly from the definition) that for any odd integers a and b, a? +3b is even

A: Set theory: number system properties of integers

Q: Problem 12-31 (LO. 4)

A: answer is in next step

Q: Problem. 5: Gator Toyz has decided to manufacture a new set of blocks for children, each of which…

A: in the question it is asked to fill each block given in question.

Q: Question 19 [5 3 9 1 2 [4 2 -3 8. 4 6 12 7 A = -7 -8 2 Find m23

A:

Q: 1. Give two examples of situations in real life that involves permutations. In each situation: a.…

A:

Q: Problem 3. Let a be an integer that is coprime with 240. Prove that 240|a4 – 1. -

A:

Q: Problem B2) Given the following figures made from gray squares: 3 4. n = 1 n = 2 n=44 a) Assuming…

A: (c) the number of grey squares used will be calculated as follows  Each figure uses three…

Q: QUESTION 12 Show by contradiction that if 5x2+ 3 is irrational, then x is

A:

Q: - (30) [This combines problems 7.17 and 7.20 in the textbook.] Each year, Forbes magazine publishes…

A: The population is given by, 74,57,43,38,38,31 Therefore the population mean is given by, µ =…

Q: -2 3 Problem 8.1.22: IfĀ = (; ) and 5 7. find (a) Ā + Ē", (b) 2Ā" – Ē", (c) Ā" (Ā – Ē)

A:

Q: Problem 4. Let n be an integer. Show that if 2+ 2v1 + 12n² is an integer, then it is the square of…

A:

Q: Problem#2: On a small bookshelf there are five different calculus books, six different linear…

A:

Q: Problem 2: a) Show that if you pick three books from a comic store containing just Marvel Comics and…

A: Given: Let us consider the following statements  a) Demonstrate that if you choose three books from…

Q: Problem 11.57dc: Report your reasoning and conclusion

A: Let x be the lysine ingested, and y be the weight gain.

Q: Problem 14 For how many positive integers x is (x – 1)(x – 3)(x – 5) …· (x – 2017)(x – 2019) < 0 ?…

A: we have to determine for how many positive integers x is x-1x-3x-5.........x-2017x-2019&lt;0 as we…

Q: Problem 4. Let n be an integer. Show that if 2+ 2/1+ 12n² is an integer, then it is the square of an…

A: We have to solve given problems:

Q: QUESTION 6 Given a 3а n - 1 + 2a with a =2, a =7. 1 n -2 What is A and B if a =A2" +B (–1)" n 3 аnd…

A:

Q: Problem 2. For Example 7.7 in text (Page 335), show that (1). E(Ô,)= 0, 02 (2). Var(ê) п(п + 2)" n…

A:

Q: I need help on a problem a^2-9a+20

A:

Q: Problem 4. Does there exists a solution xE Z to the equation 3x2 + 11x = -23 mod 61?

A:

Q: Problem 3. Show that if x is a real number and n is an integer, then 3(a) x <n if and only if [x] <…

A: We need to prove both the results.

Q: Question 7 z/z - 2)] d(n + -2) + 28(n + 1) + 2(-1") 老 d(n + -2) + 48(n+ -1) + 2(2")| d(n+ -4) + 28(n…

A: We have to find the inverse z transform.

Q: Problem 5.6 8

A: Topic:- division

Q: 2.7 Problem 11

A:

Q: To get a 1 in row 3, column 3, we simply multiply row 3 by 1 0 0. 1 0 0. -1 6. -1 -1 6. 0 1 20 -5 0…

A:

Q: Card 3 of 9 Problem 2 -r(r+ 4) (x+ ) ( – 9) -3x(r+ 4)(3x + 2)(x – 9) 3x(x + 4)(2x – 3)(x - 9) E…

A:

Q: Regarding Equations 11-20, 11-21 and 11-23, we could alternatively reject Ho if the resulting…

A: Since we know that When p-value &lt; α Then we reject the null hypothesis And, when When p-value…