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 +...

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 +...

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...

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 = [1 1 ...

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...

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

I would have to include pictures for it.

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 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...

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)...

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)...

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...

Layout of the step by step procedure of solving the problem is needed please.

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 ∼...

We are told to find injection between the set D and the set of natural numbers N but I'm not really sure how to do that in this case

Discrete metric spaces. Suppose that d is the discrete metric on E. Show that (x n ) is convergent if and only if it is ultimately stationary, that is, if and only if it has the form (x 1 , x2 ,...

Type | Probability 1 ton | 0.25 2 tons | 0.06 5 tons | 0.01 10 tons | 0.11 20 tons | 0.57 An appliance dealer sells 5 types of air conditioners. The above...

h) Suppose Marck (M) and Erick (E) are playing a tennis tournament such that the first person to win two games in a row or who wins a total of three games wins the tournament. Find the number of ways...

Show that the set of all integers divisible by 8 is countable.

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...

could you help me how can I convert (7A3E)16 to binary

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