eliassaab

Name:
Elias Saab
School:
University of Missouri Columbia
About:
I am a retired University Math Professor and I joined to help the students with their questions.
You can see many interactive online tests that I wrote on http://saab.org and on http://mathonline.missouri.edu
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Questions Asked
eliassaab:
Group Title
This problem was asked and closed before it is solved. I will ask it here again so it can hopefully be addressed
Solve
\[
…
updated 2 months ago
23 replies
5 Medals
Mathematics
eliassaab:
Group Title
Compute
\[\int_0^1 \frac{x^r-1}{\ln(x)} \, dx
\]
…
updated 2 months ago
8 replies
6 Medals
Mathematics
eliassaab:
Group Title
Compute
\[
\int_{0}^{\infty} \frac{e^{-bx} - e^{-ax}}{x} \, dx
…
updated 2 months ago
7 replies
4 Medals
Mathematics
eliassaab:
Group Title
I am repeating a closed question so other people
can see a solution of it.
Here is the problem: Suppose that
…
updated 2 months ago
1 reply
1 Medal
Mathematics
eliassaab:
Group Title
An easy geometry problem. Show your work.
The problem will be attached.
updated 2 months ago
24 replies
11 Medals
Mathematics
eliassaab:
Group Title
Let k be an integer greater or equal to zero, show that
\[
\int_0^{\pi } \cos ^{2 k+1}(x) \, dx=0 \\
…
updated 3 months ago
5 replies
8 Medals
Mathematics
eliassaab:
Group Title
Use this fact proved by the previous problem
\[
\sum _{n=1}^{\infty } \frac{(2 n-1)!}{2^{4 n}…
updated 3 months ago
14 replies
3 Medals
Mathematics
eliassaab:
Group Title
Show that
\[
\sum _{n=1}^{\infty } \frac{(2 n-1)!}{2^{4 n}
…
updated 3 months ago
15 replies
4 Medals
Mathematics
eliassaab:
Group Title
In the light of my 3 previous problems, this will be very easy to do. Let m,n be integers and p be an integer greater or equal to zero, then…
updated 3 months ago
14 replies
4 Medals
Mathematics
eliassaab:
Group Title
Use my problem that I posted before this one to prove that, if p is a positive integer, then
\[\left(1-\sqrt{33}\right)^p+\left(\sqrt{33}+1…
updated 3 months ago
13 replies
5 Medals
Mathematics
eliassaab:
Group Title
Let m and n be two integers and p a positive integer, show that
\[\left(m-\sqrt{m^2-4 n}\right)^p+\left(\sqrt{m^2-4 n}+m\right)^p
\]
…
updated 3 months ago
10 replies
12 Medals
Mathematics
eliassaab:
Group Title
Let \(r\) and \(s\) be two real or complex numbers and m and n be two integers \
such that
\[r + s = m \\ r s = n\] and let \(k\ge 1\) be a…
updated 3 months ago
17 replies
4 Medals
Mathematics
eliassaab:
Group Title
Let \(r\) and \(s\) be two real numbers such that
\[ r+s =-1 \\ r s =-1\] and let \(k \ge 1\) be an integer. Show that
\[ r^k + s^k \] is …
updated 3 months ago
41 replies
13 Medals
Mathematics
eliassaab:
Group Title
Let \(r\) and \(s\) be two real numbers such that
\[ r+s =-1 \\ r s =-1\] and let \(k \ge 1\) be an integer. Show that
\[ r^k + s^k \] is a …
updated 3 months ago
No Medals Yet
Mathematics
eliassaab:
Group Title
An irregular equiangle hexagon BKMLFA having sides BK=3;KM=4,ML=5;LF=3;FA=4;AB=5.
See picture as a comment below.
Find the area of this hexa…
updated 3 months ago
34 replies
3 Medals
Mathematics
eliassaab:
Group Title
Find the number of subsets of the set of n consecutive positive integers, {1,2,...,n} that do not contain two elements whose difference is k…
updated 4 months ago
20 replies
4 Medals
Mathematics
eliassaab:
Group Title
Find the number of subsets of the set of n consecutive positive integers, {1,2,...,n} that do not contain two elements whose difference is k…
updated 4 months ago
10 replies
6 Medals
Mathematics
eliassaab:
Group Title
Find the volume of the intersection of the two cylinders
\[x^2 + z^2 =9 \\
and\\…
updated 9 months ago
4 replies
1 Medal
Mathematics
eliassaab:
Group Title
For every integer \( n\ge 0\), show that
\[ n^5 -n \] is divisible by 5.
This problem is a tutorial about induction. Notice that the state…
updated 9 months ago
4 replies
4 Medals
Mathematics
eliassaab:
Group Title
The question is in the comment. Be patient, I am a slow typist.
updated one year ago
19 replies
12 Medals
Mathematics
eliassaab:
Group Title
Let a,b,c,d be integers in Z. Find y an integer in Z so that the following expression
\[
a^2 c^2 + 4 a b c^2 + b^2 c^2 + 4 a^2 c d + 16 a b…
updated one year ago
10 replies
2 Medals
Mathematics
eliassaab:
Group Title
Let a,b,c,d,e be integers in \( \bf Z\). Find m an integer in \( \bf Z\) so that the following expression
\[
a^2 c^2+4 a^2 c d+a^2 d^2+4 a b…
updated one year ago
19 replies
1 Medal
Mathematics
eliassaab:
Group Title
Here is a new probability problem generated by
http://saab.org/actuarial.cgi
updated one year ago
10 replies
3 Medals
Mathematics
eliassaab:
Group Title
A probability problem generated by http://www.saab.org/actuarial.cgi
updated one year ago
9 replies
1 Medal
Mathematics
eliassaab:
Group Title
A differentiation problem generated by
http://saab.org/calculus.cgi
updated one year ago
4 replies
2 Medals
Mathematics
eliassaab:
Group Title
Here is an easy integration problem from
http://saab.org/calculus.cgi
updated one year ago
5 replies
4 Medals
Mathematics
eliassaab:
Group Title
A new financial math problem from http://saab.org
updated one year ago
2 replies
No Medals Yet
Mathematics
eliassaab:
Group Title
A financial Math problem from http://saab.org
updated one year ago
8 replies
No Medals Yet
Mathematics
eliassaab:
Group Title
A probability problem about expected values generated by http://saab.org
updated one year ago
5 replies
1 Medal
Mathematics
eliassaab:
Group Title
A nice probability problem from http://saab.org
…
updated one year ago
8 replies
1 Medal
Mathematics
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