Umm, Aren't you given the answer in the problem? If it's melting through the bottom of the cone at a rate of 3 cubic centimeters per minute, it shouldn't change the rate unless you're looking for a % change*.*assuming laws of thermodynamics, fluid dynamics etc. don't apply. <--- I don't know any of that, just saying.
I'm doing my homework.And...And...And...I'm...Enjoying it?
Just like Bach, you eventually warm to it.
Question:What are the most popular majors for postsecondary students?Response:Of the 1,650,000 bachelor's degrees conferred in 2009–10, the greatest numbers of degrees were conferred in the fields of business (358,000); social sciences and history (173,000); health professions and related programs (130,000); and education (101,000). At the master's degree level, the greatest numbers of degrees were conferred in the fields of education (182,000) and business (178,000). At the doctor's degree level, the greatest number of degrees were conferred in the fields of health professions and related programs (57,700); legal professions and studies (44,600); education (9,200); engineering (7,700); biological and biomedical sciences (7,700); psychology (5,500); and physical sciences and science technologies (5,100)
I would have thought that by now anyone could use computers to solve any mathematical problem -so that, those who hate math would never need to actually learn anything but the fundamentals -and how to master software -like you master photoshop -It seems our educationalists are still living in the 19th century - get with the programme you guys -
you're trolling us right?
starstruck,Of course computers can bring math alive beyond slide-rules, punch cards, calculators, and the rest of the evolution of technology. The problem is that these mathematicians need to come from somewhere. There is so much more math to figure out in the universe beyond just calculating pi to 15 billion decimal places. Much of math comes from simplification of higher math into basic elements. Knowing much of the simpler aspects can actually give you a fighting chance of solving incredibly complex problems. Computers become a crutch for the mathematically challenged. By the way, I've fallen asleep in math class as well, but I don't believe thats a function of the elements of the class, but more in regards to the teaching method. I personally enjoy the dull problems because I can't learn from people instructing me how to do things. In my college math classes, I went to MAYBE 25% of them. Before each semester, I would talk to my professors and let them know I just couldn't learn in the standard educational fashion. Instead of going to class, I would just work through EVERY problem in the textbook and ask for additional problems I could do. That is the only way I learn. My talents are in deductive reasoning. I can't necessarily remember every formula, but I can derive them from basic mathematical common sense. This is why I bombed almost every single one of my 'memorization classes'.This is the exact problem with education. It's not in teaching things that could be solved in easier fashion. It's in teaching everyone the exact same way. Just as in piano, some people learn by ear, others read, some people memorize through physical memory. Some are better at improv because they might just understand music theory more than they can play someone elses music that's all but set in stone.Lastly, higher level math doesn't even use numbers. I stopped using numbers in my classes after sophomore year. A computer can't solve anything I learned after sophomore year. It needs to be figured out by people so that there are actual formulas to apply in the programs that run your numbers. How do you think derivatives were understood? Proofs with no numbers that can then be applied to numbers. How about statistics? Proofs are what figured out normal distributions, students-t distribution, chi^2 distributions, etc. All these numbers are what plot that graph in the background when you give a table of numbers. Saying that computers can do everything for you is just like saying 'everything that can be invented has been'.EDIT:https://www.aomori-u.ac.jp/staff/midori/ProbDistr/t-e.pdfTry wrapping your head around that one without learning any of the derivations of mathematical formulas. BTW, that's the dumbed down formula.Feel free to take a look at this powerpoint presentation.
Wish I could work out a mathematical way to win the lottery! It is all a bit too random though and the odds against finding a winning line are ridiculous -
Something like a winning line doesn't exist. Any random combination has the same chance as the next.
On the other hand, there are winning numbers that are less likely to be split with other people. Since people who pick numbers tend to pick less randomly, they end up picking numbers that are familiar to them such as birthdays, anniversaries, the time their child was born etc. And knowing that there are only 12 months in a year, 30 days in each month, 24 hours in a day... etc., the distribution of picks tends to be crowded in the lower numbers. That being said, if the winning numbers are in the lower end of the spectrum, people end up splitting it more frequently. If they are in the higher spectrum, there is a higher probability that there will be a sole winner. Again though, as you said, it's a uniform distribution on the actual winning numbers. But since that's the case, picking numbers in the higher spectrum actually give you a higher expected value while giving you an equal chance of winning.
gg calc exam. I got a 96.I nearly broke my spine the two nights I studied for it. Totally worth it.Now I can bask in my brief moment of glory before I bomb the next test.
What's the derivative of cos(3x)?
-3*sin(3x).
Where did the -3 come from?
lol, thats a fun question. There are so many fun (and wrong) proofs you can give to your calc teacher in high school to confuse the crap out them. In less than technical terms:∞ - 1 = ∞, so if you subract ∞ from each side, aren't you left with 0 = 1?!?!?!? OMG THE WORLD IS GONNA END, RUN!!!!!!!In technical terms, ∞ isn't really a number. It's called a limit. It might be incredibly confusing to put into words without symbols, but I'll give it a shot.Using summation, you can sum the number x from 0 towards infinity. I realize this reuses the "number" which can make it confusing, but you aren't actually ever getting to that number. So in the simple case:summation of x from n to infinity = 0 + 1 + 2 + 3 + 4 + 5 + 6 + ...n. Clearly you can actually calculate any of these solutions for any number. But the LIMIT as the number n gets larger is infinity. Summation notation and limits can be extremely useful in higher level math. I haven't really used much of this in the last 6 years, so I can't really give all that much more of an explanation without digging into my books and reviewing for a bit.
Thanks for answering! but what is infinity then? I mean is it anything at all? or people just say infinity when they don't know what else to say and when they can't imagine numbers anymore? I mean I know it's a limit, but why is there a limit that's not really a limit cause it's infinite? cause if that's the way it is then it's kinda like: oh this is the way it is because it's the way it is... doesn't sound very scientific or mathematical to me. I mean it seems to me that the only way something could be infinite and would stay the same no matter what you would take from it (or add) is if it was a circle or something like that or if it was getting larger all the time! (but how and for how long it would be getting larger, for infinity?) Other than that it seems to me like people only invented it cause it gets too difficult to understand! Just like when people don't know why some things are the way they are or how they started to exist and they just say: oh a higher power created them that way, cause a higher power can do anything. And I'm not saying there's no higer power but it still doesn't answer the real question.
What's the antiderivative of 8/³√x ?
It is not necessary to integrate by parts, 8 is a constant value. Just integrate x^-1/3.
So jelous of people who are good at math! Keep practicing it, yall!
Those idiots were freaking copying the answers verbatim.
Exercising your intelligence in this regard will probably serve you better in life than knowing the answers in your own right anyway.
I feel you I am so jealous of the kids who are actually doing decent in class.
Funny story about doing "decently". When two sophomores in my class got 100s on the recent test, they made the entire class feel stupid.
Gah I hate those people! They're freaking monsters!Or the foreign exchange students, they're animals!I remember we were doing some problems in a group, and this is what went down...Teacher: okay guys, I want you to do this in your groups.Me: alright guys, I think I found the answer to number 1:Foreign exchange student: WHAT?!?!?!?!. I'm already on number 10!!!!Me: teacher, can I drop the class?I felt sooo salty!!!