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
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)
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
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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