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Aug
23
awarded  Notable Question
Aug
10
asked Can Lagrange Multiplier method provide a saddle point in two dimensions
Aug
6
asked Probability density function of Y=e^X given X is Poisson
Aug
3
asked Critical point but not an extremum or saddle point
Aug
2
comment Critical value example where partial derivative does not exist
@RecklessReckoner Nice job. Thanks for the help. It will be very useful teaching class.
Aug
1
comment Critical value example where partial derivative does not exist
@RecklessReckoner How about an example where you get two critical values, one where both partial derivatives equal zero and one where at least one of the partial derivatives is undefined?
Aug
1
asked Critical value example where partial derivative does not exist
Jun
9
revised Curve of intersection of two surfaces
added 2208 characters in body
Jun
6
asked Curve of intersection of two surfaces
Apr
12
asked Integral of $x^{12}(1-x)^8$
Jan
5
awarded  Yearling
Oct
2
awarded  Popular Question
Sep
19
awarded  Popular Question
Jul
29
asked Transform square region to triangular region
Jul
2
awarded  Curious
Jun
20
comment Existence of kth moment
I finally figured out your answer, another great answer, but you are right, a huge overestimate. Here is some Mathematica code comparing the actual integral and your bound for $k=6$. In[3]:= k = 6 Out[3]= 6 In[7]:= Integrate[ Abs[x]^k*Exp[-(x - 3)^2], {x, -[Infinity], [Infinity]}] // N Out[7]= 2551.67 In[8]:= Integrate[Abs[x + 3]^k, {x, -1, 1}] + 2^(2*k + 1)*(k + 1)^k // N Out[8]= 9.63783*10^8
Jun
19
awarded  Informed
Jun
19
asked $E[U^2]=0$ implies $Pr(U=0)=1$
Jun
19
comment Existence of kth moment
$|-2|>1$, but $|-2+3|$ is not less than $4(-2)$.
Jun
19
comment Existence of kth moment
And that's only to the right of $x=1$.