Loser66
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0 
Questions Asked

Loser66:
Group Title
Suppose \(g:\mathbb R\rightarrow \mathbb R\) is an everywhere differentiable function. Show that if \(g(a)\neq 0\), then \(g(x)\) is diffe…
 updated 9 hours ago
 No Medals Yet
Mathematics

Loser66:
Group Title
Use the Mean Value Theorem to show that for any n>0
\(\dfrac{n}{2n+1}<\sqrt{n^2+n}n<\dfrac{1}{2}\)
Please, help
 updated 7 hours ago
 10 replies
 1 Medal
Mathematics

Loser66:
Group Title
How to use MVT to show for any n>0\(\dfrac{n}{2n+1}<\sqrt{n^2+n}n <\dfrac{1}{2}\)
Please, help
 updated 11 hours ago
 30 replies
 2 Medals
Mathematics

Loser66:
Group Title
Show that the ring M of n x n matrices over Real has no ideals other than 0 and M
Please, help
 updated yesterday
 36 replies
 3 Medals
Mathematics

Loser66:
Group Title
Show that the ring M of n x n matrices over \(\mathbb R\) has no ideals other than 0 an M. Conclude that any ring homomorphism \(\phi:M\righ…
 updated yesterday
 23 replies
 1 Medal
Mathematics

Loser66:
Group Title
Need help understanding problem:
Let S be a subset of a set X. Let R be the ring of realvalued functions on X, and let I be the set of rea…
 updated yesterday
 31 replies
 1 Medal
Mathematics

Loser66:
Group Title
Calculus help!!
Use MVT to prove that \(\forall x \in\mathbb R\) , \(e^x>1+x\) \(x\neq 0\)…
 updated 2 days ago
 7 replies
 1 Medal
Mathematics

Loser66:
Group Title
Let \(f(x) =\begin{cases}x^rsin(1/x)~~~if~~~x>0\\0~~~if~~~x\leq 0\end{cases}\) where \(r\in \mathbb R\), \(r>0\)
For which values of r is (…
 updated 3 days ago
 10 replies
 1 Medal
Mathematics

Loser66:
Group Title
\(\mathbb Z_2=\{e, \xi\}\) when \(\xi^2=e\)
\(\mathbb C\mathbb Z_2=\{ae+b\xi a, b\in\mathbb C\}\)
\(f:\mathbb C\mathbb Z_2\rightarrow \math…
 updated 4 days ago
 8 replies
 No Medals Yet
Mathematics

Loser66:
Group Title
Ring theory. Need help understanding the concept.
Someone explains me, please.
 updated 5 days ago
 34 replies
 3 Medals
Mathematics

Loser66:
Group Title
Calculus help!!, Someone explain me, please. Attachments on comment
 updated 5 days ago
 92 replies
 3 Medals
Mathematics

Loser66:
Group Title
Let R be a ring and X is a set.
a) Show that the set Fun(X,R) of functions on X with values in R is a ring.
b) Show that R is isomorphic t…
 updated 6 days ago
 31 replies
 2 Medals
Mathematics

Loser66:
Group Title
Suppose h(x) and g(x) differentiable at x =a
Let f(x) = g(x) if x>=a
f(x) = h(x) is x <a
…
 updated 12 days ago
 14 replies
 3 Medals
Mathematics

Loser66:
Group Title
Consider the subring of R
\(\mathbb Z[\sqrt2]=\{a+b\sqrt2a, b\in \mathbb Z\}\)
Where addition and multiplication are as defined as usual …
 updated one month ago
 11 replies
 1 Medal
Mathematics

Loser66:
Group Title
Two construction companies make bids of X and Y on a remodeling project. The joint pdf of X and Y is uniform on the space 2<x<2.5, 2<y<2.3
I…
 updated one month ago
 1 reply
 No Medals Yet
Mathematics

Loser66:
Group Title
You are given the pdf \(\phi(x)=\dfrac{1}{4\sqrt{2\pi}}e^{x^2/32}\) \(\\infty<x<\infty\). Obtain an expression for the pdf of \(W=X^2\)…
 updated one month ago
 11 replies
 2 Medals
Mathematics

Loser66:
Group Title
Prove that an even number cannot divide an odd number.
Please, help
 updated one month ago
 54 replies
 2 Medals
Mathematics

Loser66:
Group Title
Let a, b nonzero integers
a) Prove that if a, b are relative prime, then, there doesn't exist a prime p such that pa and pb
b) Prove th…
 updated one month ago
 3 replies
 No Medals Yet
Mathematics

Loser66:
Group Title
\[5^m =3q+r \] and \(0\leq r\leq 3\)
determine r
Please, help
 updated one month ago
 20 replies
 3 Medals
Mathematics

Loser66:
Group Title
Prove that x^2+4 is an irreducible polynomial in R[x]
Please help
 updated one month ago
 35 replies
 No Medals Yet
Mathematics

Loser66:
Group Title
Give diagram of all divisor of 484.
I need explanation, please help.
 updated one month ago
 3 replies
 No Medals Yet
Mathematics

Loser66:
Group Title
Prove that a nonzero additive abelian group is uniform if and only if the intersection of any two nonzero subgroups must also be nonzero.
P…
 updated one month ago
 5 replies
 No Medals Yet
Mathematics

Loser66:
Group Title
To solve a problem, I apply a lemma which is not represented in class and I lost my credit. What can I do?
I attach the lemma from other b…
 updated one month ago
 2 replies
 No Medals Yet
Mathematics

Loser66:
Group Title
\(Let~~f:\mathbb R\rightarrow \mathbb R\) be a function. The graph of f, \(\large \Gamma =\{(x,y) \in \mathbb R^2: y=f(x)\}\). Suppose \(f\)…
 updated one month ago
 10 replies
 1 Medal
Mathematics

Loser66:
Group Title
a)Prove that a nonzero homomorphic image of a divisible group must also be divisible.
b) Prove that a nonzero finite abelian group cannot b…
 updated one month ago
 67 replies
 1 Medal
Mathematics

Loser66:
Group Title
Give an example of a continuous map f: R >R and a closed subset B in R such that f(B) is not closed. Is this possible if B is bounded as w…
 updated one month ago
 4 replies
 No Medals Yet
Mathematics

Loser66:
Group Title
Let \(X_n\) be a Cauchy sequence. Suppose that for every \(\varepsilon >0\), there is some \(n>1/\varepsilon\) such that \(X_n<\varepsilon…
 updated one month ago
 5 replies
 2 Medals
Mathematics

Loser66:
Group Title
Show that \(\dfrac{3^n}{n!}\) converges to 0
Please help.
 updated one month ago
 22 replies
 1 Medal
Mathematics

Loser66:
Group Title
Determine c so that f(x,y) satisfies the conditions of being a joint pmf for 2 discrete random variables X and Y
\(f(x,y)=c(\dfrac{1}{4})^x…
 updated one month ago
 33 replies
 5 Medals
Mathematics

Loser66:
Group Title
I don't know how to solve it, hihihi... help please
I bought a chicken at $13, then sold it at $15. After awhile, I bought it back at $17, t…
 updated one month ago
 15 replies
 5 Medals
Mathematics
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