Question

Use
Fermat's method to factor each of the following N. Justify your
answers.

a. N=629

b. N= 9208

c. N= 89208

d. N= (2^8+9)-1

Thank you in advance!

Answer #1

Use Fermat's Factorization method to factor 2401. Show all of
your work.

Use Master Theorem to solve the following recurrences. Justify
your answers.
(1) T(n) = 3T(n/3) + n
(2) T(n) = 8T(n/2) + n^2
(3) T(n) = 27T(n/3) + n^5
(4) T(n) = 25T(n/5) + 5n^2

Which of the following sets are well ordered under the specified
operation? Justify your answers. Explain why they are/ are not well
ordered.
(a)R+ U {0}, <
(b)[0,1], >
(c)The set of integers divisible by 5, <
(d){ {0,1,..., n} | n∈N}, ⊆

Graph Theory
Determine if the degree sequences are graphical. Show your steps
and justify your answers.
a) 5,3,3,3,3,2,2,2,1,1,1
b) 5,5,5,5,5,5,5,5,5 (n=9)
c) 6,4,4,3,3,2

Determine whether each of the following statements is TRUE or
FALSE. Justify all the answers in few sentences.
3. In the Heckscher-Ohlin model with 2 goods (C and F), 2
factors (Capital and Labor), and 2 countries (Home and Foreign),
where home exports C and C is capital-intensive (and there are no
trade costs): (a) Assuming that there is factor substitution, if
there is complete specialization in both countries then the wage
must be the same in both countries. (b)...

Does the Master theorem apply to the following recurrences.
Justify your answer in each case. If it applies, then also state
the case and the solution. (a) T(n) = √ nT(n/2)+logn, (b) T(n) =
T(n/2+ 31)+log n, (c) T(n) = T(n−1)+T(n/2)+n and (d) T(n) =
T(n/7)+T(5n/13)+n.

Give asymptotic upper and lower bounds for T .n/ in each of the
following recurrences. Assume that T .n/ is constant for
sufficiently small n. Make your bounds as tight as possible, and
justify your answers.
a) T(n) = T(n/2) +T(n/4)+T(n/8)+n
b) T(n) = T(n-1) +1/n
c) T(n)= T(n-1) +lg n
d) T(n) = T(n-2) +1/lgn

Which of the following sets are finite? countably infinite?
uncountable? Give reasons for your answers for each of the
following:
(a) {1\n :n ∈ Z\{0}};
(b)R\N;
(c){x ∈ N:|x−7|>|x|};
(d)2Z×3Z
Please answer questions in clear hand-writing and show me the
full process, thank you (Sometimes I get the answer which was
difficult to read).

( HEY THERE my name is N I need new and unique answers,
please. (Use your own words, don't copy and paste), Please Use your
keyboard (Don't use handwriting)
((Thank you FOR YOUR HELP))
SUBJECT: IT-244: Introduction to Database
Q: Assume that you have a Saudi league player
database. In this database, you have a table containing players’
attributes such as (Name, age, position, etc.) and you decided to
add information about players’ agents. Would you represent the
agent information...

subject-DSP
1)y(n)=2x^2(n-1)
determine the system is(and justify your decision)
a)linear
b)time invariant
c)stable
d)causal

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