Anonymous
Tricky calculus 3 questions 2017-04-27 12:08:44 Post No.8861732
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Tricky calculus 3 questions 2017-04-27 12:08:44 Post No.8861732
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Tricky calculus 3 questions
Anonymous
2017-04-27 12:08:44
Post No. 8861732
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Does anyone have any tricky calculus 3 questions about the following topics:
>vector functions ([math] \mathbb{R} \text{ to } \mathbb{R}^n [/math])
>limits, derivatives and integrals of vector functions
>Tangent, normal and binormal vector
>Arclength and arclength function
>Curvature
>Acceleration vector (tangential and normal component)
I have a test for it tomorrow and I'd like to do challenge tier questions. If you have problems that involves proofs then that is fine too, as long as I have to apply calculus.
All I can find online are problems like:
>Here is a function, now use your formulas to find this and this and this and this...
but from the last test I know this professor mixes in at least one challenge question which is why I want to be prepared for the worst.
I don't need the solutions but if you can provide them or stick around to check my answer then that would be great.
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>>8861732
Find a formula for torsion from formulas of curvature and related concepts (acceleration, the geometric meaning of mixed derivatives, etc.)
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>>8861787
I don't know what torsion is m8. Googling it sends to some things abot engineering so I guess I should clarify that I am a pure math major and we don't see those things.
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>>8861800
saying torsion is an engineering concept is like saying torque is an engineering concept
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STEM = Science, Technology, Engineering, Math
Economics = Math
Therefore, economics is STEM.
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>>8861652
>Economics = Math
That's where you're wrong
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>Economics = Math
No, it's a social science, i.e. not a science.
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Econometrics = Math.
Economics = 'no one will take us seriously so let's calculate consumer surplus as the area of the triangle underneath the demand and supply curves'
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Who is the Einstein of our generation? For me, it's gotta be Bill Nye.
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For me, it's whoever invented the McChicken, the best fast-food sandwich.
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>>8861600
This.
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>>8861594
Einstein is a spectrum
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How do we fix the female problem. I am doing well in my major and good things are happening but my primal urges I feel will be my own undoing. I don't want to become like Elon musk. Sex robots better come out soon. I know I should focus on science but I always have an urge to waste time being listening to the singing.
Does anyone else struggle with this?
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There's a reason Newton et al stayed virgins. It is nearly impossible to be a successful scientist while chasing women.
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>>8861316
well maybe newton could have spent the time doing alchemy and bible chronologies fucking women.
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>>8861308
You don't want to be a wealthy billionaire playboy?
I want his hair transplant desu and after that I'll be good
>no cure for common cold
>no cure for IBS
>no cure for most viruses
>no cure for cancer
>no cure for virtually every degenerative brain related disease
>still no theory to unify general relativity and quantum mechanics
>still no proof that 0.9999=1
>still no proof that p=np
>still no idea how to forecast earthquakes or other natural disasters
>"w-w-we're going to t-terraform Mars!"
>"A-A-AI and r-robots will take over all our jobs!"
>"m-m-muh global warming will kill us all in 10 years!"
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AI is literally our only chance
we're too slow
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>>8861266
All of those hinge on one understanding which will not be conveyed to the average human until the economic machinery set up to support the concealers of truth is tore down.
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Yup. We're finally hitting the plateau of diminishing returns. The communications sector has been buoying the entire economy, but all others (medicine, transportation, general research, space travel, agriculture) has been stagnant or in slow decline. All that's left is content (Amazon, Facebook, etc.). A.I. And terraforming are pipe dreams.
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>learn a concept
>looking for an effective way to memorize it
>imagine myself explaining it to some guy on /sci/
does anyone else do this or am i too far gone?
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>>8861209
Never thought of this. Seems like a good stratagey
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>>8861209
I imagine myself applying it to do amazing things, then I get to lost in narcissistic fantasy to ever have the rigor to do those things.
If you can dream it, you can do it!
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>>8861209
Damn, that's a good idea. What about making a thread where you teach the subject?
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So, now that climate change is being being grouped into being a leftist and climate change denial is slowly becoming normal, what is your personal plan to get through the post scorched earth fallout?
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>>8861178
I stacked up on bottle caps IRL, I got a huge collection. I'd be okay, I'd be the richest man in Fallout.
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>>8861178
Forming an underground colony of high IQ super-humans like me
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>>8861187
>Implying I won't form a LARGER tribe of brainlets and raid your underground colony and make it Little Brainlet Town.
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https://www.youtube.com/watch?v=x507ZlDoc-Y (skip to end for relevant part)
>Science!
not a Bill Nye thread but how would you articulate this infuriating"xD science is cool!" culture? I know it's nothing new, I've been irritated by it since my teens, but I've never seen it articulated by anyone. It's like a really childish attitude to this broad broad science, and I don't mean that as an insult here if you watch movies like Cloudy with a Chance of Meatballs that's the exact attitude towards science I'm talking about. I assume this board hates figures in popular science? Because I think they're intrinsically related.
DO NOT post Bill Nye memes, we get it.
Pic unrelated? Although I believe "nerd culture" is directly related to what I'm talking about
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It's science for the 80% of people too stupid to understand it. Its like explaining how a plant grows in grade school but for adults.
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>>8861075
>I assume this board hates figures in popular science?
meh, if they increase the status of science in the popular culture, I think they do more good than harm. The "science is fucking awesome" crowd are annoying virtue signalers and the March for Science was a thinly veiled political march. Having said that, scientists need popular support to secure funding for actual real science, so if Bill Nye and the Big Bang Theory and other nerd culture celebrities help attain that support among the virtue signaling crowd, well it is just a means to an end.
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>>8861126
Pop-science culture creates the indignant idea that the infinite complexity of the universe could be understood by watching Black Science Man explain spaceships on Netflix, breeding the generation of people who fucking love science yet forgot highschool trigonometry. What actually needs to be done is the dissolution of the archaic, elitist academia, and reformation of teaching methods in primary schools.
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If light breaks up into a spectrum of wavelengths in a prism, what are the upper and lower bounds for their frequencies? Surely, it ends somewhere, right?
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>>8861054
On order of the Planck length to on order of the present size of the universe are the believed lower and upper limits respectively
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>>8861110
That would mean it creates high energy particles. That doesn't sound right.
Will Nye make a video that explains this?
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>>8861054
>if light
Whats the frequency and wavelength of the light? I'm pretty sure you can set the sine of the diffraction grating equation to 90 and get both bounds.
Is this an actual question or a Bill Nye meme?
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Is heart disease reversible?
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>>8860975
Yes.
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>>8860975
Sure, I guess.
>heart transplants
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>>8861057
Not true at all
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If you squashed the moon into a hollow sphere that was one atom thick, would it fit round the sun?
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I dunno
Why
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Yes. Volume of the moon is greater than the surface area of the sun.
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>>8860919
The moon has a volume of 22 billion km^3. The surface area of the sun is 6090 billion km^2. Dividing these numbers gives a thickness of .0036 km or 3.6 meters, which is much larger than an atom. So yes it would fit around the sun, billions of times.
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Anyone using Science for actual Useful Uses here?
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>>8860696
Studies on cryogenics.
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>>8860696
economics
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Developing a theory of behavior built from information theory.
>work as an R&D scientist in a small startup
>spend months trying to get something to work
>finally get it to look like its working
>boss is super happy
>do one tiny experiment that singlehandedly disproves everything I've done including the foundation for the work in the first place
>haven't shown boss yet
fug
pls
send help
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>>8860685
Science is about test and mistakes, show the true is part of our job, do it better next time
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>>8860755
This technology I am working on is my boss' baby. Every time I show him a flaw with it he spergs out on me and says I am wrong. Should I just get a new job?
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>>8860791
Can you pass me some info? Whut is the experiment supposed to do?
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Why does the world follow people who are all into "pseudo-science", like Michio Kaku, Bill Nye, and Neil DeGrasse Tyson, instead of true visionaries like Tesla?
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>>8860622
Because Tesla died.
He was working.
The others are busy talking.
Few exist who can talk and walk at the same time.
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>>8860622
because tesla threatened the pockets of some companies and the pseudo-science guys dont
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le smart science black man can give me a sense of superiority if i believe in le epic science
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Let's have a comfy bio general
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saged
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>>8860476
How did that Bio-Hacking shit even start?
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Anyone have a CLS license? How was the process to get one?
Gonna apply for it in 2018, getting my microbio b.s. in summer