@WillHunting My family tree is full of mental illness. I've been taking ADHD medication since kindergarten, antidepressants and anxiety meds since late elementary school, so I've pretty much been having issues for the past 7-10 years.
@teadawg1337 I see. I have felt pretty bad almost my whole life as well. Do you have any plans to "cure yourself completely", whatever that means? I have some plans for myself in this direction, and I hope I "get completely well" soon.
@DanielFischer $f$ and $g$ intersect transversally at $P=(0,0) \Leftrightarrow $ they don't have a common tangent. In this case, $f(x,y)=x^5+x^4+y^2$ and $g(x,y)=x^6-x^5+y^2$. How can we check if they intersect transversally?
@Hippalectryon I don't watch too many animes .. but Death Note was simply 'bang-on' with my taste ... that's literally everything that I could want from a good anime :)
@evinda I can't make sense of that. The graphs are surfaces in $\mathbb{R}^3$, so their tangent spaces necessarily have nontrivial intersection. Find out what the definitions are.
"Friday on My Mind" is a 1966 song by Australian rock group The Easybeats. Written by band members George Young and Harry Vanda, the track became a worldwide hit, reaching no. 16 on the Billboard Hot 100 chart in May 1967 in the US, no. 1 on the Dutch Top 40 chart, no. 1 in Australia and no. 6 in the UK, as well as charting in several other countries. In 2001, it was voted "Best Australian Song" of all time by the Australasian Performing Right Association (APRA) as determined by a panel of 100 music industry personalities. In 2007 'Friday on My Mind' was added to the National Film and Sound Archive...
The $\nabla\left(x^5+x^4+y^2-z\right)=\left(5x^4+4x^3,2y,-1\right)$ Therefore, the tangent plane would be $\left(x-x_0,y-y_0,z-z_0\right)\cdot\left(5x_0^4+4x_0^3,2y_0,-1\right)=0$
@Huy, I'm not sure. You aren't usually in a talking mood when you've been hit with an emotional sledgehammer. At least I'm not. That was a while back though so I'm fine now.
There was once someone complained about me at work. I did not get fired but it was bad enough. And I did not even do anything I considered wrong. I was so mad I could not say anything.
@Chris'ssis I can't do everything you give me every day :/ Unlike you, I don't have as much free time for maths. I do save everything you send here, though
@Hippalectryon :-))))))))) I know, but the point is that I don't have free time, but I steal from the time assigned to other things to attend these things.
For the problem "Integrate the function $G(x,y,z) = z$ over the cylindrical surface $y^2 + z^2 = 4, z \geq 0, 1 \leq x \leq 6$", I should do it in terms of $z$ and $\theta$, right?
I plan on doing my homework one day and coming up with the worst excuse ever for not doing it, so that the professor will walk up and ask me why I didn't do my homework and I'd pull a complete 180