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Questions Asked

henpen:
Are all \[y= \frac{1}{x^{2n1}} \] hyperbolas?
 updated one year ago
 2 replies
 No Medals Yet
Mathematics

henpen:
Can you do the integral test on an increasing function when analysing an increasing series?
 updated one year ago
 1 reply
 No Medals Yet
Mathematics

henpen:
'Any linear differential equation \[p(D)x=0\] MUST have the solutions in the form \[x=Ae^{pt}\]or \[x=At^ne^{pt}\]' why is this? How is it p…
 updated one year ago
 4 replies
 No Medals Yet
Mathematics

henpen:
How does EM induction and the motor effect work?
 updated one year ago
 10 replies
 No Medals Yet
Mathematics

henpen:
Is \[3=y^26yx^2\] considered a hyperbola?
 updated one year ago
 3 replies
 1 Medal
Mathematics

henpen:
Show that 168 cannot be expressed as the sum of the squares of two rational numbers.
 updated one year ago
 12 replies
 3 Medals
Mathematics

henpen:
\[ \int \frac{ds}{a+bs^2} \]
 updated one year ago
 14 replies
 2 Medals
Mathematics

henpen:
Prove that \[2^x \ne m^n +1 \] for >1 integers x, m and n.
 updated one year ago
 No Medals Yet
Mathematics

henpen:
\[y^2=2px\] \[ \Rightarrow 2ydy=2pdx \]
How is this achieved at? I've always gone with calculating
\[ 2y\frac{dy}{dx}=2p \] and multiplying…
 updated one year ago
 3 replies
 1 Medal
Mathematics

henpen:
Is \[\int\limits_{y=a}^{y=b}\int\limits_{x=c}^{x=d}f(x,y)dxdy=\int\limits_{x=c}^{x=d}\int\limits_{y=a}^{y=b}f(x,y)dydx\]
ALWAYS true?
 updated one year ago
 3 replies
 No Medals Yet
Mathematics

henpen:
What does the variance of a binomial expansion MEAN intuitively, and what's the derivation of its formula?
 updated one year ago
 No Medals Yet
Mathematics

henpen:
In relativity, what do the superscripts above letters (such as F or G) mean?
 updated one year ago
 No Medals Yet
Mathematics

henpen:
\[\frac{d}{dx} \int_a^bf(x)dt=\int_a^b\frac{df(x)}{dx}dt\]
Why is the equality correct?
 updated one year ago
 3 replies
 2 Medals
Mathematics

henpen:
What's the proof of the EulerLagrange requirement for minimising an integral?
 updated one year ago
 No Medals Yet
Mathematics

henpen:
What's the proof of the EulerLagrange requirement for minimising an integral?
 updated one year ago
 6 replies
 1 Medal
Mathematics

henpen:
Is there a general equation for all the conic sections? I assume there should be as if you get the equation for a cone and solve the simulta…
 updated one year ago
 3 replies
 1 Medal
Mathematics

henpen:
\[ \ddot{\phi}=k^2 \phi \]
I see why the solution should be \[ \phi =A e^{ikt} \], but not why \[ \phi= Acos(kt)+Bsin(wt) \] Surely the rea…
 updated one year ago
 7 replies
 1 Medal
Mathematics

henpen:
\[ \frac{dy}{dx}=\sqrt{y^21} \]
 updated one year ago
 3 replies
 1 Medal
Mathematics

henpen:
\[ y\ddot{y}\dot{y}^2=1\]
 updated one year ago
 3 replies
 1 Medal
Mathematics

henpen:
Why the absolute value signs in \[ \int \frac{1}{x} dx=ln(  x )+c \] ?
 updated one year ago
 9 replies
 No Medals Yet
Mathematics

henpen:
\[ \int \frac{x}{x^2+1}dx \]
 updated one year ago
 12 replies
 1 Medal
Mathematics

henpen:
F=ma. Therefore, is force a function of position or velocity?
 updated one year ago
 22 replies
 5 Medals
Mathematics

henpen:
\[ y\ddot{y}\dot{y}^2=1 \]
Which method would I use here? The boundary conditions are \[y(a)=y(a)=1 \]
 updated one year ago
 9 replies
 No Medals Yet
Mathematics

henpen:
How many integer n exist so that \[ \frac{n}{100n} \] is also an integer?
 updated one year ago
 8 replies
 3 Medals
Mathematics

henpen:
The site's loading time is, at last, excellent. Thank you!
 updated one year ago
 1 reply
 No Medals Yet
Mathematics

henpen:
If \[g(x)=\left\{\begin{matrix}
\frac{2xy}{x^2+y^2} \text{ if }(x,y) \ne (0,0)\\
0\text{ if }(x,y) = (0,0)
…
 updated one year ago
 8 replies
 No Medals Yet
Mathematics

henpen:
Is this true: 'The only way you can get from one perfect square, q^2, to another, p^2, by multiplying by a constant [i.e. p^2=a^2 q^2] is i…
 updated one year ago
 8 replies
 2 Medals
Mathematics

henpen:
If the universe became transparent at a much earlier time, what would the CMB look like today?
 updated one year ago
 1 reply
 No Medals Yet
Mathematics

henpen:
Algorithm question: why does the sign of m matter, but not the sign of n?
Algorithm:
1Read the positive integers m and n
…
 updated one year ago
 1 reply
 No Medals Yet
Mathematics

henpen:
I'm not sure if this is even solvable, but I'd like to know what sort of things you would need to solve this: \[y''+k(y')^2y=0 \]
 updated one year ago
 8 replies
 3 Medals
Mathematics
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