Discrete Mathematics Answers

Determine the value of n and M to show that (x2 + 8)(x + 1) is big-O(xn). (Find the value of the exponent and also the value of M that proves the big-O relationship. You don’t need to worry about the value of k.)

exactely what is discrete math

If a < 1/2 and b < 1/2 then a + b < 1

Write the converse of this statement. Is the converse true?

Explain

Write the contrapositive of this statement. Is the contrapositive true?

Explain

Prove that p ↔ q is logically equivalent to ¬p ↔ ¬q.

make up a set of at least twelve numbers that has the following landmarks.minimum:50 median:54 maximum:57 mode:56

Define a set X recursively as follows:
B. 4 is a member of X
R. if x is a member of X then 3x + 24 is a member of X
Use mathematical induction to prove that every element of X is even.

In how many ways can 12 identical action figures be given to five children if each child recieves at most 3 action figures?

Solve the linear recurrence relation an=an+1+2n−2 for n=2,3,4,... if a0=1 and a1=3.

How would you prove the statement: sqrt(5) / 5 ((1+sqrt(5))/2) - sqrt(5)/5 ((1-sqrt(5))/2) by strong induction ?

in how many ways can a committe cosisting of three mae and two women be chosen from seven men and five women