http://imgur.com/iHVu1J7 I understand how to draw a HsDgrm(R) but not the first part of the question which is the proof

http://imgur.com/iHVu1J7 I understand how to draw a HsDgrm(R) but not the first part of the question which is the proof

Hi I have 2 problems that I need to say whether or not they are true or not and then write a proof for my answer. I am really struggling and could use a little help thank you 1) ...

I would like to know if I did this work correctly http://imgur.com/a/duDPT Picture of the work above My original set : = {0,1,4,6,8} I am...

1. How many different positive integers can be made from the digits {2, 4, 6, 8} if repetitions are allowed? 2. What is the telescoping form of f(x) = x4 + 7x3 - x2 + 2x +...

prove it if it is correct or give counterexample if it is false let d=(a,b) then a|bc if and only if a/d is a divisor of c

Can anyone tell me if: F(n) = 3n^2 + 1 is one-to-one or onto? I'm pretty sure it's neither because n^2 itself isn't onto, but I need second opinions...

The diagram below shows a directed graph: http://imgur.com/a/fxqVD (a) Is <d, b, c, g, c, f, e, c, d> a circuit in the graph? Is it a cycle? (b) What is the longest cycle in...

The diagram below shows a directed graph: http://imgur.com/a/fxqVD (a) Is <d, b, c, g, c, f, e, c, d> a circuit in the graph? Is it a cycle? (b) What is the longest cycle in the...

Here are two relations defined on the set {a, b, c, d}: S = { (a, b), (a, c), (c, d), (c, a) } R = { (b, c), (c, b), (a, d), (d, b) } Write each relation as a set of ordered pairs. (a)...

In a small town a bank (b), school (s), town hall (t), and shopping mall (m) are connected by a series of narrow one-way streets; a street from the town hall to the bank, one from the bank to the...

Here are four relations defined on R, the set of real numbers: R1 = { (x, y): x ≤ y } R2 = { (x, y): x > y } R3 = { (x, y): x < y } R4 = { (x, y): x = y } Describe...

The Fibonacci sequence F0, F1, F2, F3, ... is an infinite sequence defined by the two initial values F0 =0, F1 =1, and the rule Fk = Fk-2 + Fk-1 for all k ≥ 2. Let Μ...

There are 57 students in a class, how many different ways can you make a group of 5?

Any single project must have at least 3 team members but no more than 4. There are currently 37 available team members in the company, all of whom are cross-trained to serve any role on any given...

f(x) = -(x - 1) g(x) = 2x2 h(x) = 3x + 1 a. What is (f ο g)(-2)? b. What is (g ο f)(-2)? c. What is (f ο h)-1(3)? d. What is (f ο g ο h)(1)? e. What is (h ο h-1)(π)...

Hi, can someone give me some hints about the second part(b) of this question? Thank you so much! We consider buying three kinds of food. Food I has 1 unit of vitamin A, 3 units of vitamin...

Consider the surjective function cos: R → [−1, 1] and let ∼ be the associated equivalence relation x ∼ y ⇐⇒ cos x = cos y. Describe the equivalence classes of ∼...

http://imgur.com/a/gG7dj I am stuck on the very bottom problem. I have defined k1-9 and r1-9. If there is a better way way to upload a picture then please tell me ...

Letfbe a homomorphism from the commutative ring R onto the ring R'. If I and J are ideals of R, verify each of the following: a) f(I intersect J) subset f(I) intersect f(J), with equality...

Suppose that R is a ring of characteristic n. If addition and multiplication are defined in R x Zn = {(x, a)lx E R; a E Zn} by (x, a) + (y, b) = (x + y, a +n b), (x, a)(y, b)...

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