Symbolab limits

limit of ((-1)^(x-2)*x^2)/(4+x^3) as x->inf
https://www.symbolab.com/solvestep-by-step/%5Clim_%7Bx%5Cto%5Cinfty%7D%5Cleft(%5Cfrac%7B%5Cleft(-1%5Cright)%5E%7Bx-2%7Dx%5E%7B2%7D%7D%7B4%2Bx%5E%7B3%7D%7D%5Cright%5E%7Bx-2%7Dx%5E%7B2%7D%7D%7B4%2Bx%5E%7B3%7D%7D%5Cright))?or=input

Trying to find solutions to the wave function for a quantum physics class and I'm starting to hit the limit of web stuff like wolfram alpha and symbolab. What tools can analytically solve, e.g., a large number of linear equations with exponentials, constants, complex numbers, etc.? There's no way it's done by hand, right?

how would one solve the following limits?
lim for x ->0 ( (1/arctanh(x) ) - ( 1/(e^x-1) ) )
lim for x ->0 ( (1/arccosh(x) ) - ( 1/(e^x-1) ) )
I tried substitution with the identities but it still gets me nowhere, according to my Nspire, the first one has 1/2 as a solution and the second one has -infinity as a solution. I also tried looking for answers using Symbolab and how it works it out but it cannot work it out for the first one.

i have tried use ph0tomath and symbolab i still don’t got it. whats a coshx? and how do i found the limit?

I've tried to solve this but I can't seem to find a way to not make the denominator equal 0.
https://www.symbolab.com/solvelimit-calculato%5Clim_%7Bx%5Cto0%7D%5Cleft(cos%5Cleft(%5Cfrac%7B%5Cpi%20x%7D%7Bsinx%7D%5Cright)%5Cright%5Cright))?or=input
I dont understand why it approaches -1.

I am not allowed to use that rule yet and it would help to be able to use symbolab without it using lhopitals rule, if anyone knows how to make symbolab solve the problem without defaulting to lhopitals rule

Hey there! My teacher has passed out an assignment including a problem that I have been somewhat stuck on:
Apologies for the formatting, I haven't quite figured out how to use the fancy pants editor that reddit has.

Is f(x) continuous in x = 0 in the following? f(x) {(2x^2 + x)/x : x != 0, 1 : x = 0} 

So I have come to the conclusion that this should be correct and continuous. But I have never used absolutes before when working with limit values, so I figured there was tomfoolery at hand.
The work I've done:

First check for f(x) = (2x^2 + x)/x: I choose to approach f(0) with limit values from both sides to see if they converge. lim x -> 0- (all values approaching 0 from below are negative so x is negative, represented by -x) f(x) = (2x^2 + x)/-x : -x = x f(x) = (2x^2 + x)/x f(x) = 2x + 1 f(0) = 2*0 + 1 f(0) = 1 lim x lim x -> 0+ (all values approaching 0 from above are positive so x is positive,) f(x) = (2x^2 + x)/x : x = x And this is the same as above f(0) = 1 f(0) = 1 applies to both functions above, therefore the function is continuous in x = 0 

Usually I would've left it at this, but since we've never been given assignments including absolutes and limit values, nor could I find anything in my textbook about it, I felt uncertain. So I hopped onto Symbolab to check my work, and lo and behold, it disagrees with me.
However, what it suggests is weird, and I disagree with it. Symbolab wants the limit value approaching from below to mean that x = -x. Its reasoning being that:

x -> 0- means that x is negative, therefore x = -x 

I can see how it would think this. If x is a negative number, e.g (-2), then x = -(-2), meaning that x is the negative of x. However I struggle to agree with a value coming out of an absolute with a negation in front of it.
I've messed up before because convoluted setting like this trip me up, or because I've overlooked simple interpretations of rules like this. So I'm inclined to blindly trust the calculator on this one, which I don't want to do before checking with someone more knowledgeable than me first. Is it correct that if x is a negative value then x = -x?

Anyone have any solutions. I have a paid version of symbolab, and im currently learning calculus 2. I have a problem that I want to use a limit comparison test, and i specify it in the problem box but it always uses the root test. Any ideas how to fix it??

Hi Guys, i am learning calculus and I find myself using both Wolfram Alpha and Symbolab for solving math questions (when i can not do it by myself or when i want to check if i solved right) I am thinking in paying for a subscription to use the premium features of one of those two softwares, basically I would be using it for calculus ( Precalc, Calc I,II and III).
​
¿Which one would be better for me? (Better as in more capable of solving limits, integrals and derivatives )
​
Thank you in advance.

Hi Guys, i am learning calculus and I find myself using both Wolfram Alpha and Symbolab for solving math questions (when i can not do it by myself or when i want to check if i solved right) I am thinking in paying for a subscription to use the premium features of one of those two softwares, basically I would be using it for calculus ( Precalc, Calc I,II and III).
¿Which one would be better for me? (Better as in more capable of solving limits, integrals and derivatives )
Thank you in advance.

Just wanted to share some tips for incoming 1st year students planning to take the harder proof-based math courses like MAT137, 157, 240, and 247:
1. Preparation is worth it
Many people obviously struggle with proofs at the start, but you can alleviate much of that pain by learning basic proof techniques, and reading a bunch of worked examples of proofs. Nobody is born with the faculty to do proofs (well... maybe almost nobody). And while the courses MIGHT go over some basic proof techniques at the start, the instructors won't hesitate to get straight to the course content after a week or two. Learning the building blocks of writing proofs will make it a lot easier for you to learn the content.
Two good resources to learn proofs are Velleman's How To Prove It or Hammack's Book of Proof. It is important to do problems of course, but it's even more important to study a ton of examples of basic proofs using different techniques. With enough knowledge, you should be able to recognize common themes like:

• if a theorem involves the natural numbers, then you should try to prove it using induction,
• if a question asks you to prove something exists, you should most likely try to construct an example, or
• if you are having trouble even starting to prove something directly, you should consider a proof by contradiction

and so on. If you don't know what any of those mean, you can find the secrets in the books I've mentioned. But knowing these themes will make solving problems way easier.
2. Pay attention at the start!
Even if you already know how to do proofs, every field of math has its own basic techniques that you want to get used to sooner rather than later. The theorems that you'll learn at the start might be trivial statements, even boring. But PAY ATTENTION to their proofs and let the techniques sink in. Later on, you'll see the the same techniques used to prove basic stuff in proofs of harder theorems.
Furthermore, don't immediately look to do the hardest problem you can find in the textbook. Do a lot of simple problems that use those basic techniques. It is difficult to progress to the harder content without a solid grounding in the basics, even if you think you're a math wizard. You can only trip on the banana peel if you don't pick it up beforehand.
3. Do problems... but study a lot as well
Paul Halmos said "The only way to learn mathematics is to do mathematics." And while there is a lot of truth in that quote, it is also at the same time an exaggeration. Solving a lot of problems reinforces your knowledge, and allows you to solve similar problems in the future more quickly. But it is equally important that you don't skip the studying. You want to have the prerequisite knowledge needed to tackle those problems.
Say for example, you are trying to prove something involving limits. It is perfectly fine if you struggle with the problem – math is hard! But if you're staring at the sheet of paper and have no ideas because:

• you don't even know what a limit is, or
• you only know the definition and have not learned the ways to manipulate limits,

go back to your lecture notes and thoroughly learn the content again. This ties back to the last point – KNOW the basic techniques of the field, so you don't have to reinvent the wheel when all you really need to do is fix a tire.
4. Computation is important
If you hated plugging and chugging in high school, you'll probably like proof-based courses much better. But that doesn't mean – even in proof-based courses – that learning how to compute and manipulate things isn't important. You want to be comfortable at elementary algebra before you even enter the first lecture. You don't want to see the instructor add something to both sides of an equation and think, "what the fuck?". It should be second nature.
And as the course progresses, you must be able to perform the basic calculations quickly. Don't be the one who can prove the Heine-Borel theorem in the shower but who can't even do a basic derivative or integral without Symbolab. There WILL be computation questions in the midterms and exams, and while there are beautiful one or two-line proofs, those are comparatively rare – most proofs will require at least a few gnarly computations or manipulations.
5. Prepare now, or prepare to work hard
Proof-based courses are scary for a lot of students. But consider why they are scary in the first place. Because proofs are unfamiliar! What can you do to deal with that? You familiarize yourself with proofs. And while I could've just said "it'll be fine, you'll get the hang of it", the truth is that – unless you're a genius – it will be a struggle if you don't prepare beforehand or at least prepare yourself to work a lot at the start of the course, especially if you're going to do the specialist courses (157/240/247).
6. And finally a very practical tip...
Use lots and lots of paper. Really. You don't want to have 10 different things in your working memory when you're solving a problem.

The integral is sqrt(r²+9)/3 rdr from 0 to 3 and I am confused for u substitution. I tried symbolab and I am still confused as to how the limits fot the u sub became 3 to 3sqrt(2). Any help will be greatly appreciated. Thank you!

Limit is
lim (x,y) (0,0) x²y²/(x²+y⁴)
I've tried looking if it DNE by going along x and y-axis etc, get 0 on all of them.Changed to polar coordinates and then simplified I get
lim r 0 r²*cos²x*sin²x/(cos²x+r²sin⁴x)
Then if you plug in you get
0/cos²x
and symbolab says the answer here is 0, because 0/a = 0 when a =/= 0.But how can one know the angle x is not pi/2, making the denominator 0 as well?
Edit: Since limit must be independent upon which path you take for it to exist, meaning it must be independent of the angle x here, wouldn't this mean it doesn't exist since there's one angle/path for which the limit is not defined?

Hey everyone! I’m very excited to be writing this right now. I’m going to give a little back story before I get into my actual manifestation.
So I’m in my second year of college. I don’t know about anyone else, but my college is still doing online schooling until the fall 2022 semester. Anyway, as a result of this I would usually join the zoom class and go back to sleep as my class was at 8 am in the morning (a bad decision on my part lol). Because I did this, I ended up not learning anything ofc. When we were given assignments to do on the website Mymathlab I would literally use mathway and symbolab to help me get my answers.
Around mid-march, my teacher posted our math grades and only three people in the class were passing. I was the third highest with 64%.
Throughout this semester I ended up missing one quiz and an ENTIRE unit test (these are weighed heavily…) Not to mention, some of my homework assignments were not all 100%. I also went online to calculate what the possibility of my final grade could be and it was around 50%.
I persistently asked my teacher to open assignments as the semester was near the end and the majority of the class was failing, but he always gave me the same response “Request denied.” (He was so shitty for this lmao)
A week or two before my final math exam (it was on April 28th) I found two channels: Aiva Manifested That and Sammy Ingram. I also got “The Power of Your Subconscious Mind” by Joseph Murphy and started to read it. This changed my entire mindset on how to manifest.
I had a limiting belief in my teacher opening assignments, so instead, I chose to affirm daily that he would curve the class grade so much that I would end up getting a C in the class. At first, I wanted a B+ but then my limiting beliefs came in and told me that it wasn’t realistic so I settled for a C. I also affirmed daily that my final exam would be easy (and let me tell you…IT WAS).
When I woke up yesterday morning I felt extremely confident that I was going to pass my math class with a C. I honestly didn’t even know the grades were out yet considering the fact that I had just recently taken the exam, but I checked anyway and my final grade was a C!!! I know it isn’t the best grade but I am more than happy that I at least passed the class and don’t have to retake it.
I know this success story is pretty long, but I just wanted to give hope to anyone out there that is manifesting grades, money, a house, or an sp that YOU CAN DO IT. The power is LITERALLY within you. Become one with your affirmations and you will truly get what you want!
(I’m going to attach a video of my grades below as proof).
https://reddit.com/link/ufsfdf/video/sqnl3dlp1xw81/player

I'm trying to tutor my teenage sister in math but she seems to have a few problems that overlap, such that I don't know what is causing her to be unable to solve problems I know she can solve:

• She rarely puts in the time to practice math, getting distracted easily with games and Discord.
• When she does, she takes a long time to think of how to solve a problem. I try using leading questions to guide her and so it doesn't take as long, but half the time she remains silent because she doesn't know and doesn't tell me she doesn't know until I ask her explicitly.

She often tells me to leave her alone so she can study, which I do. When I come back to check on her an hour or two later, she either has spent her time thinking on how to do a math problem, or pretends to have worked on the problem the whole time. Either way, she makes minimal to no progress on it. Then, because of the lack of time left in the day, I see no way other than to guide her through each problem.
I worry that she isn't learning much because of how I guide her through problems instead of her attempting the problems herself. This also isn't sustainable in the long run since I'm not going to guide her through every homework assignment she has.
I've tried tools like RescueTime so she can track how much time she spends gaming. She refused to install software that limits screen time but I'm tempted to do it given how many times I've trusted her to work, only to come back to see her gaming. I tell her repeatedly that because she takes longer to think, she needs to put in more time studying to compensate for that, yet she puts in the least time possible.
How can I help her address these issues?
Edit: Areas to look into

• Hobbies with peers to reduce time on Discord and gaming
• Help her with her confidence and drive so that she wants to work on math herself bribe her maybe
• Introduce tools like Symbolab, YouTube for her to solve problems herself
• Look into logic puzzles and programming to work on problem-solving skills

hey everyone, I've asked this already on stackexchange but I don't quite understand the logic behind the response I've been given. I'll reiterate the question and explain my attempts, here's the original post - https://math.stackexchange.com/questions/4322716/finding-the-derivative-of-an-integral-of-a-continous-function?noredirect=1#comment9010893_4322716
In the question I've been given a function:
g(t) = (7 + sin(t)/t for every t !=0, 8 for t=0)
and I've been tasked with calculating the derivative of F(x) which has been defined as:
F(x) = ∫ g(t) d(t) between 0 and x^2 -6x.
My work:
I've noticed that g(t) is continuous since sin(t)/t will approach 1 as t approaches 0.
In my first attempt I've tried using newton-liebnitz:
F(x) = g(x^2−6x)−g(0) = sin(x^2−6x)/(x^2−6x)−1, I've derived and submitted this and got a wrong result. (I verified my derivative with symbolab).
a person there replied I was using it wrong since "You are misusing the Fundamental theorem of calculus. F(x) is not g(x^2−6x)−g(0); this is true if you use a capital G, for G a valid indefinite integral/antiderivative of g. But what about F′? " - so if I understood this correctly, F isn't really the antiderivative of g I am not sure I understand why but maybe because g is comrpised of two different functions? I'd love a clarification. Bottom line is that I can't use newton liebnitz.
I wanted to go into the limit definition of an integral but that was really complicated and I felt like there must've been an easier way.
I've tried using this formula:d/d(x) ∫f(t)dt (from u(x) to v(x)) =v′(x)∗f(v(x))−u′(x)∗f(u(x)) and got this :
F′(x)=g(x^2−6x)*(d/dx(x^2−6x)).
to me it seemed fine but I seemed to have got it wrong (I've got three attempts in total, used 1 for newton liebnitz and another one for a mistype - I can't verify), according to a commenter the result should be-
F′(x)=g(x)*(d/dx(x2−6x)), which he got by using the fundemental theorem (does he refer to Newton Liebnitz? same as me?) and by using the chain rule - (which I believe is the one I've written above, right? )
I've asked for clarification and waited a day but got no response.
tldr - I don't understand the logic behind the proposed solution, why my second solution ended up wrong, and if my understanding of the first solution's error is complete?
I know you don't appreciate it when people send solutions, but is it possible for someone here to confirm the validity of my own solution post recieving hints? - this hw is graded and I've used all my attempts but one.
or does anyone know of any calculator that takes in these types of integrals and spits out a result?
this isn't a test nor an exam, I've shown my work. I hope this is enough.

Reddit, What useful unknown website do you wish more people knew about?
Week of 10-8-21
New link to future updates, less formatting required from the source doc: https://merman314.blogspot.com/p/useful-links-useful-links-reddit.html
Publications
Project Gutenberg: a library of over 60,000 free eBooks
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Collections of Project Gutenberg books
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https://www.reddit.com/FreeEBOOKS/comments/bcy1i200_free_ebooks_about_cooking_food_prep/
https://www.reddit.com/FreeEBOOKS/comments/9tvcyj/here_is_a_list_of_200_free_scifi_ebooks_ive/
Z-Library project. The world's largest ebook library
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Librivox: free public domain audiobooks
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Open Library: Borrowing Books for free
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Libraries Near you
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Public Domain Review
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Library Genesis: access to Scientific Articles, Magazines, etc.
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https://libgen.is/scimag/?q=memory%2Bchunking
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12 foot ladder: News sites access
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Word Count Tools has a bunch of statistics about the text you input into their editor, like reading time and grade level
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Media, “Sports”, Education, and Internet
Internet Archive is a non-profit library of millions of free books, movies, software, music, websites, and more.
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My 80s TV: Novelty site that shows samples of TV content by decade, links to other decades on the right
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Maths
Desmos math tools, and graphing calculator
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https://www.desmos.com/calculator
Wolfram Alpha Maths
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Symbolab math
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GeoGebra for Teaching and Learning Math
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Every Noise: This website contains every obscure sub-genre of music imaginable. You can find some great music you’ve never heard of there. (Warning: LOUD!)
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Music-Map: Search an artist/band and it generates a map of similar artists/bands with proximity indicating more fan base crossover.
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Bongo Cat
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Sleepy Time: a website that calculates when you should fall asleep in order to not wake up groggy since the human body works in sleep cycles
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National Oceanic and Atmospheric Administration National Weather Service
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See where lightning strikes in real time
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nCoV2019 live World COVID-19 Stats Dashboard: World COVID-19 Stats, including Vaccination data; by Avi Schiffmann
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The Pandemic in 60 Seconds- Updated 2021-11-20 - David A. West
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Guide to Coronavirus variants, 11-29-21
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Nextstrain: Real-time tracking of pathogen evolution Genomic epidemiology of novel coronavirus - Global subsampling
https://nextstrain.org/ncov/gisaid/global
COVID-19 vaccine rates by state
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Coronavirus (COVID-19) Vaccinations by country
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FDA officially authorizes mixing COVID boosters: What to know
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https://www.cnet.com/health/fda-officially-authorizes-mixing-covid-shots-what-to-know/
Covid: 37% of people have symptoms six months after infection
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DeepL Translator
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Lengusa - free linguistic search engine
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How We Tawk: Word Use and Accents
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Rat Park: Addiction and Isolation -Stuart McMillen, MAY 2013
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My Fridge Food: Check off the ingredients that you have to find recipes you can make.
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Hard plastic Melamine spatula OK for non-stick
https://tinyurl.com/MelamineSpatula
Image Editing, Free Apps, Computers, Gaming
Lunapic Transparent background
https://www.lunapic.com/edito?action=transparent
Remove Image Background
https://www.remove.bg/
FREE ONLINE OCR SERVICE
https://www.onlineocr.net/
https://ocr.space/
Printable Calendar
https://www.timeanddate.com/calendacreate.html
https://www.123calendars.com/
10 minute mail provides a temporary email address for you to cut and paste into those pesky "insert email" to sign up on sites online.
https://10minutemail.com/
Check if your email or phone is in a data breach
https://haveibeenpwned.com/
Ninite: Free online free PC bulk app installer: 7zip, OpenOffice, VLC, etc
https://ninite.com/
Belarc Advisor: Detailed PC software scanner
https://www.belarc.com/products/belarc-advisor
WoWUp replacement: CurseForge Standalone Alpha: World of Warcraft addons, retail and classic
WOW addons app, scroll down to CurseForge download options, and Choose CurseForge Standalone Alpha (WOW Only).
https://download.curseforge.com/#download-options
RedditSave: Download Reddit videos with sound audio.
https://redditsave.com/
List of most-disliked YouTube videos
https://en.wikipedia.org/wiki/List_of_most-disliked_YouTube_videos
Browser Extension Brings Back Dislike Count to YouTube Videos
https://www.pcmag.com/news/browser-extension-brings-back-dislike-count-to-youtube-videos
https://returnyoutubedislike.com/install
Bias, Misinformation, Fallacies, and Politics
Ad Fontes Media Bias Chart Version 8.0 for 2021, by Vanessa Otero
https://adfontesmedia.com/wp-content/uploads/2021/09/Media-Bias-Chart-8.0_Sept-2021-Unlicensed-Social-Media_Hi_Res-scaled.jpg
Conspiracy Chart 2021 update, by Abbie Richards
https://i.imgur.com/0ql7omL.png
https://imgur.com/0ql7omL
Your Auntie on social media: Misinformation Last Week Tonight with John Oliver
https://www.youtube.com/watch?v=l5jtFqWq5iU
Snopes: the internet’s definitive fact-checking resource.
Formerly known as the Urban Legends Reference Pages, co-founded by David and Barbara Mikkelson in 1994. And previous to that, under the username "Snopes" in the Usenet newsgroup alt.folklore.urban
https://www.snopes.com/
Lumber Car: Is This Car Loaded with 3000 Lbs. of Building Supplies?
https://www.snopes.com/fact-check/lumber-ca
Logical fallacies
https://yourlogicalfallacyis.com/
https://i.imgur.com/FCXil2t.jpeg
https://i.imgur.com/9E5cI98.png
https://imgur.com/gallery/CH8zzZi
https://thebestschools.org/magazine/15-logical-fallacies-know/
https://en.wikipedia.org/wiki/List_of_fallacies
31 logical fallacies in 8 minutes, Jill Bearup
https://www.youtube.com/watch?v=Qf03U04rqGQ
Monte Carlo Methods or Why it's a Bad Idea to Go to the Casino
https://easylang.online/apps/tutorial_monte_carlo_methods.html
Never argue with an idiot. They will drag you down to their level and beat you with experience.
-Mark Twain
Never play chess with a pigeon. You can be the best chess player in the world and the pigeon will still knock over the pieces, shit on the board, then strut away like they were victorious.
Don't wrestle with a pig. You'll both get muddy but the pig will enjoy it.
Don’t argue with idiots. People passing by can’t tell the difference.
Who is more foolish, an idiot, or one who argues with one?
-not Ben Kenobi
Better to remain silent and be thought a fool than to speak and to remove all doubt.
-Abraham Lincoln
What? Me worry?
-Albert Einstein
https://www.gannett-cdn.com/presto/2019/07/04/USAT/02a9446d-4735-448b-bc5f-18e19b474733-XXX_D01_MAD_ALFRED_18.JPG?crop=529,705,x64,y0&quality=50&width=640
Politics, History, and party shifts
The Daughters of the Confederacy: How Southern socialites rewrote Civil War history
https://www.youtube.com/watch?v=dOkFXPblLpU
How the Republican Party went from Lincoln to Trump
https://www.youtube.com/watch?v=s8VOM8ET1WU
Housing Segregation and Redlining in America, aka, denying minorities the right to accumulate, and pass on, assets
https://www.youtube.com/watch?v=O5FBJyqfoLM
Gerrymandering Explained, CGP Grey
https://youtu.be/Mky11UJb9AY
Gerrymandering Explained In 45 Seconds
https://youtu.be/6oKBreT5omY
Slay the Dragon, gerrymandering doc trailer
https://youtu.be/sGdCxOM1A20
The Debt Limit Explained, playing chicken with mutual self-destruction, and the world's economy
https://www.youtube.com/watch?v=KIbkoop4AYE
Department of Education overhauls PublicService Loan Forgiveness program
For military service members, time spent on active duty will be credited towards the program, even if loans were on deferment or forbearance.
https://www.cnn.com/2021/10/06/politics/public-service-loan-forgiveness-program-overhaul/index.html
Universal, Medicare for all, or Single Payer Healthcare, Explained
tinyurl.com/medforall
Ricky Gervais and Stephen Colbert about books and religion, 2017
https://www.youtube.com/watch?v=KOi2AgNfQCg
Coffee!:
Featuring the legendary James Hoffman, Internet Shaquille, Tom Scott, and Portlandia
Coffee Land!
https://www.youtube.com/watch?v=uRtx33R4XhU
Manifesto
https://www.youtube.com/watch?v=Jml7NVYm8cs
Drinking Coffee Wrong
https://www.youtube.com/watch?v=vIHULVqKAy8
How to Make Coffee
https://www.youtube.com/watch?v=dTwGkUUF2aA
What No One Tells You about Learning To Taste (Coffee)
https://www.youtube.com/watch?v=tU1y7hBSgiY
I don't like coffee. Can James Hoffmann change that?
https://www.youtube.com/watch?v=Z-iNAyu-ejo
The Birth of Espresso
https://www.youtube.com/watch?v=I8uStVXNf0M
Beginners Guide to Espresso-Based Drinks
https://www.youtube.com/watch?v=93waR1jzoLA
Misc. Links
Track historical Amazon prices for items
https://keepa.com/#!tracking
Amazon copied products and rigged search results to promote its own brands, documents show
https://www.reuters.com/investigates/special-report/amazon-india-rigging/
Has your doctor taken payments from pharma, etc?
https://openpaymentsdata.cms.gov/
Ductless mini split heat pump, single room and multi-zone
https://www.youtube.com/watch?v=uyRa_KAf4EI
https://www.youtube.com/watch?v=gl2NRQgiaho
The Salt and Pepper Diner
https://www.youtube.com/playlist?list=PLLhMkBEBxQCCiKtW9kYWPLr7BD7jl-Yi5
Time is an illusion. Lunchtime, doubly so.
-Douglas Adams
“The History of every major Galactic Civilization tends to pass through three distinct and recognizable phases, those of Survival, Inquiry, and Sophistication, otherwise known as the How, Why, and Where phases. For instance, the first phase is characterized by the question 'How can we eat?' the second by the question 'Why do we eat?' and the third by the question 'Where shall we have lunch?”
-Douglas Adams, The Restaurant at the End of the Universe
https://viewcomics.me/lost-at-sea/issue-tpb-1/80
Vyper: Convert Your Blog Posts (Rich Text) to Reddit Formatting
https://vyper.io/reddit_converte
RedditSave: Download Reddit videos with sound audio.
https://redditsave.com/