Fun Definition and 407 Threads

[SIZE="2"]Hello :) Here we go! : [SIZE="2"]1. \int \frac{dx}{x^3+x^2+x+1} [SIZE="2"]2. \int_{\frac{\pi}{2}}^{\pi} \left( sin(x) ln(x) - \frac{cos(x)}{x}\right) dx [SIZE="2"] Do your best :)

Homework Statement The Hungarian national highway M7 is made of concrete blocks 4m long. The joints have a small gap. Józsi have a mass of 80 kg. He owns a Polski Fiat, which is lowered by 10 cm when he sits in. At what speed would Józsi's car disintegrate? Homework Equations v =...

Well basically, I've always been thought maths from a technical (operations) point of view. For example, we were taught the quadratic equation but I have no idea how or why it works. However, I am amazed and fascinated by maths at times when I wander off and mess about with numbers and theories...

Homework Statement In R^3, if we have p non-intersecting lines, is it true that there exists a plane Y such that all the lines intersect Y? Up to rotations.Homework Equations The Attempt at a Solution No real attempt, this is just something I found to be interesting. Any thoughts?

Homework Statement This is just a piece of a differential equation where I'm just trying to solve this single gross integration and as there are no initial conditions laplace transforms are out so here it is: \int t^{-2}e^{-2t} The Attempt at a Solution I tried doing a...

Ok basically I've tried loads of methods of working it out and I'd just like to see how someone else would do it because all the answers I get don't seem right and I am not confident about them. A bit of explaining of why things that may seem odd are wouldn't be minded elther. I've tried...

So i was thinking, if you drop a ball that has a bouncy property to it, it will travel half as high after the bounce, then in theory it will bounce half as high, and half, and half, and half but never reaches zero this is not true in reality though, because there of a loss of energy due to...

This is a snippet from a mock encyclopedia which i will not link to. While I am not endorsing this viewpoint, I want to understand, what is fundamentaly inaccurate about what is being said? " In reality, the highest level of education required to comprehend the theory of dark matter is...

I know this is a little strange to ask on a forum but... I don't know where else to ask! My boyfriend is a physicist and I want to get him some fun book relating to it for his birthday, but most of the books I found looked like they were poor quality ("New York Times bestsellers" written by...

We were in Calculus class, and the problem sin(x)/n was left on the board from the last class. The teacher meant to put an x in the denominator I guess. We solved it like so: sin(x)/n The n terms cancel out sin(x)/n = six = 6 Whatddya think?

What are some things you can say that will send chuckles across your audience when you give a speech, especially in the beginning to brake the ice?

Homework Statement We had to basically modify a few variables in the given code and then shoot it out with a valid output. I decided to have some fun with it. However I get a strange syntax error, here is the code: //Conditionals controlling the cookie response output if(cookies...

Should I challenge my class with interesting puzzles, or drone on and crank out answers to standard problems? Any tips?

2. Consider five points A, B, C, D and E such that ABCD is a parallelogram and BCED is a cyclic quadrilateral. Let l be a line passing through A. Suppose that l intersects the interior of the segment DC at F and intersects line BC at G. Suppose also that EF = EG = EC. Prove that l is the...

Just did this in NYC with my friends this past weekend. The game: You and your friends go out to dinner. At the end you collect everyone's credit card, put it into a napkin, and shake it up. You then ask the waitress/waiter to pull one credit card out. Who ever gets picked has to pay the...

integrate from 0 -> 1 (1-cosx)/x dx find maclorein approximation this has been killing me any ideas??

I am only slightly computer literate and have been looking for easy to use apps for altering one's desktop. The most minor feature I am looking for is one a friend of mine had that would change his desktop picture every time he restarted his computer. More complex alterations I am looking for...

It Works! I went out and bought a Nintendo Wii Remote, a golf glove, an Infra Red LED and a small battery and set it up. My Computer screen is now a touch screen! Since my computer does not have blue tooth, I had to buy a USB Dongle. The total cost was $91.09 The cool factor is...

which X-man's powers do you think are the most realistic biologically and physically.

Any help solving this determinant: 0 1 1 1 1 0 1 1 1 1 0 1 1 1 1 0 My calc says the answer is -3 but there is supposed to be a quicker way than doing all the individual calculations, I did all the calculations and got -3 but there is supposed to be a quicker way. Anyone?

It's February, and http://my.funtrivia.com/private/main.cfm?tid=87626". Check out the trivia sticky at the top of this page for the link after this thread disappears. The competition is month to month, with monthly winners kept in the "hall of fame." It requires a simple registration (no...

Hi, I'm 31 and have a successful career as a Software Engineer - but am finding more and more that I can't resist my love of physics. So, I've started studying physics in my spare time, rather than just endlessly reading about it. I did actually do A-Level physics when I was in college, but...

What class would you take if you wanted to take something just for pure fun? SCUBA diving, Mandarin Chinese, archery, etc? I'll be looking for something like this to fill my time soon.

Currently in 2nd year of college, and just now being exposed to calculus based physics: my intended major was computer science, but now I'm not sure. Basically, I want to build stuff that makes people say "holy crap". The problem is that I'm not sure what would be best. If I go mech engineer...

Homework Statement Given: The coefficient of static friction between the person and the wall is 0.66, the mass of the person is 73 kg, the radius of the cylinder is 7 m, and g = 9.8 m/s. A barrel of fun consists of a large vertical cylinder that spins about the vertical axis. When it spins...

FUn questions - Probability - help! Hello! I need help understanding how to get to the answers on this question. I would be sooo appreciative if someone woule write it out and explain it, as once I understand this I can understand a lot more! I REALIZE they are VERY BASIC! so for many it will...

A really fun music toy http://www.stumbleupon.com/toolbar/#url=http%2525253A//www.zanorg.com/prodperso/automachine.htm

A smaller number of photos than last week, but still a good collection. This week's theme is "Are We Having Fun Yet?" Participants are free to interpret this anyway they like, but there has to be a clear connection between the theme and the photo. It is up to you to decide if the theme is...

[FONT="Comic Sans MS"][SIZE="5"]Are We Having Fun Yet? You are free to interpret the topic anyway you want. However, it has to be quite obvious how the topic is being portrayed in your photo. Zz. [SIZE="4"]Contest Rules: 1. Any digital photo or digitally-scanned photo relevant to the theme...

Fun Relativity Question :) Homework Statement two spaceships, A and B, are moving relative to the Earth with speeds 4c/5 in opposite directions. What is the speed of the spaceship A according to an observer on B? According to an observer on B, how much does the separation of the spaceships...

Fun question/"brainteaser" I don't think this problem really counts as a brainteaser, because I don't know the answer. Consider a sequence like http://www.research.att.com/~njas/sequences/A097614 which works as follows: Given a constant (pi in this case), find the first position in the...

now, this isn't required for my class but my professor thought it would be cool if anyone in our class could figure it out. now, I am armed with a ti-nspire calculator and a macbook pro with this nifty grapher application and (despite my limit of knowledge in this field) no matter what i put...

Ok, so I set 9.8=v^2/r , therefore v=\sqrt{9.8r}. I converted r from miles into meters and got 3459.35. This seems like an easy enough question, but for some reason I keep getting it wrong. The answer I keep getting is 184.12395m/s, but the question asks for it in rad/s. I've looked everywhere...

People are just screwing around with the replay speed, right? http://www.youtube.com/watch?v=9GhPDL3VSo4&NR=1 http://www.youtube.com/watch?v=R4IbBMnJYU8&feature=related http://www.youtube.com/watch?v=Xwm7otKjGz0&feature=related http://www.youtube.com/watch?v=FrEdjaJt9iY&feature=related

If given an opportunity to live in any country of the world, where would you chose? And why? I am interested in hearing opinions about your favorite (dream?) living area, like government, education, cost of living, work opportunities, local people, climate, etc etc. If you are quite the...

You are traveling in your 2000 kg car at 9.2 m/s and wish to accelerate to 17.5 m/s in 3.08 seconds, how much work, to the nearest joule, is required? Okay so i don't even know hwo t ostart this problem. I know I need to find the initial amount of work being done by the car and then...

Any one know of some good party tricks?

A surprisingly small number of photos submitted for a theme that is right smack in the middle of the summer months here in the northern hemisphere. Still, we have a good group of photos. Please choose a photo that best depicts the spirit of having fun in the sun. 1. matthyaouw 2...

Alright, not really homework or coursework. Sum(from k = 0 to infinity) (cos thetha)^2k = 5 So i subbed in the first value, 0 and took the one out. I have to find the value of cos(2thetha)and then there was a pattern, but i didn't really know what to do. Thanks P.S. Not really familiar with...

[FONT="Comic Sans MS"][SIZE="5"]Fun in the Sun This week's theme involves all the fun activities we do during the warm days of summer. Zz. [SIZE="4"]Contest Rules: 1. Any digital photo or digitally-scanned photo relevant to the theme will be accepted within the contest period. In...

Good Cartoons :) Ok, so some of you might think this is a wee bit childish, but there are some good cartoons that are out there, you have to admit :smile:. I love Jimmy Neutron :!) :-p It gets kids to like science, at a young age, I know I started to like science more, after watching it. It...

This is a bit weird, both are functions of theta (and time) ... so I assume the operator is on both ... is it a case of applying the product rule? \frac{\delta}{\delta \theta}(\dot{\theta} cos\theta)

Alright, don't take this seriously. This is just a what if situation calculation: So I was thinking. Atoms possesses charges. Particle possesses mass. Charges produce electric field while mass produce gravitational field. A changing electric field produce a magnetic field. What unique...

The first one I got from a book by New Scientist. For the first experiment you need a microwave oven, a chocolate bar and a ruler. You can use these to find the speed of light (c\ =\ 2.99792458\ \times\ 10^{8}\ m\ s^{-1}). Take the rotating tray out your microwave oven and place the...

[SOLVED] gravity fun Homework Statement 1. Calculate the speed of objects on the Earth's surface caused by the Earth's own rotation around its own axis. 2. Find the mass of the Earth using its time period of revolution of the moon around the earth. 3. Find the mass of the sun using the...

Homework Statement 1 (H_1 - H_2) \times \hat n = J_s 2 (H_1t - H_2t) = \hat n \times J_s How does one get from the first statement to the second statement? 3 H_{1t} - H_{2t} = J_s This is causing an interesting problem when I plug in numbers, I would have just left it with statement (3) but...

I'm creating this thread to get some ideas on activities I could possibly do. I love golfing, hitting the batting cages, going to the movies, snowtubing, hiking etc. I'd like to know some other activites that some of you consider fun to do.

http://www.fireworkspop.com/colortest.htm have fun

Describe a sequence of transformations that would transform the graph of y = 5cos3x into y = cos(3x + 6)

Does anyone know of any good number games or thinking games (i.e. tic-tac-toe) to kill time when you're bored? Something that doesn't even require a pen and paper if possible...