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The complement of set B relative to set A is the set

(A) A\B = x:x∈Aorx∉B
(B) A\B = x:x∈Aandx∉B
(C) A/B = x:x∈Aorx∉B
(D) A/B = x:x∈Aandx∉B
The intersection of sets A and B is defined by

(A) A∪B=x:x∈Aorx∈B
(B) A∪B=x:x∈Aandx∈B
(C) A∩B=x:x∈Aorx∈B
(D) A∩B=x:x∈Aandx∈B
Find the Sum of the first 25 terms of the poulation sequence defined by Pn=37+11n
Consider the difference equation un = f(un−1) where the function f(x) is given by
f(x)= {1/5 x + 4 x<=5}
{-3x + 20 x>5 }
(a) If u0 = 5, how does the resulting sequence behave as n ! 1?
(b) If u0 < 5, how does the resulting sequence behave as n ! 1? Draw a cobweb
diagram to illustrate your answer.
(c) If u0 > 5, how does the resulting sequence behave as n ! 1? Draw a cobweb
diagram to illustrate your answer
WHAT IS COMPOUND INTEREST ?
a) Suppose that the universe of discourse of the atomic formula P(x, y) is {1, 2, 3, 4, 5}. Write out the following propositions using disjunctions and conjunctions:
i.∃x p(x,2)
ii.∀x p(3,y)
I need to prove that in a connected graph the product of minimum degree and diameter is smaller then triple the number of vertices.
write the negation of each of the following statement as an English sentence without symbolic notation.(here the university consists of all the students at the university were Dr.fikadu etches.)
a) Every student in Dr.fikadu's discrete and cominatotorics class in majoring in computer science or mathematics
b) At least one student in Dr.fikadu's discrete and cominatorics class history major
determine all of the elements in each of the following set
a) {1+(-1)"|n E N}
b) {n3+n2|n E{0,1,2,3,4,}}
let. A = {1.2.3.4.5.7.8.10.11.14.17.18}
A) how many subsets of A contain elements?
B) how many six-element subsets of A contain four integers and two odd integers?
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