Hi, I know its possible to get an answer by graphing the curves and finding the point of intersection but I was wondering if there was a way to do them algebraically.
sin(2x) = \frac{x}{2}
or e^{\frac{x}{8}} = x
Also, do these types of equations have a name?
Homework Statement
A ball is thrown straight up from the edge of the roof of a building. a second ball is dropped from the roof 2 seconds later.
a) if the height of the building is 6.00 m, what must be the initial speed of the first ball if both are to hit the ground at the same time...
Impossible question! HELP NEEDED
Homework Statement
Find the point of intersection of GE and BH.
The point of origin will be Point A, the starting point.Homework Equations
http://img189.imageshack.us/img189/7720/diagram3.png
The measurements in ft (feet) show the distance between the...
A circle is an infinite series of points equidistant from the center.
but can a circle be composed of an infinite series of lines?
if you draw a square & connect the 4 side, that are equidistant from the center, then draw draw and infinite series of points on those lines. each one of the...
Homework Statement
Suppose Fuzzy, a quantum-mechanical duck, lives in a world in which h = 2πJ · s. Fuzzy has a mass of 1.80 kg and is initially known to be within a pond 1.00 m wide. (a) What is the minimum uncertainty in the duck's speed?
1(b) Assuming this uncertainty in speed to prevail...
I'm not convinced, I'm with Einstein's side on this.
But I want to ask a question first, regarding the function collapse :
Where was the position of the observer detector in the double-slit experiments ?
Also here are my thoughts about the uncertainty principle, we are also here uncertain...
What is the highest number you cannot make with the numbers 6, 9, or 20. Integers obviously. if you don't understand what i am asking, for example, you can't make 14, so which is the largest number you can't make since once you get so high you can make every number. Is there a quick or...
Here is an interesting question I thought about:
If a man carries a load x/(g*d) above his head, and his arms do work x, and his legs now have the added work x, over d meters, why does the load remain at the same height?
I went to a normal and super easy norwegian school. Then, I decided it was too easy, and I went over to the IB system (10th grade)
Everything is fine beside the math witch is impossible. To make matters worse I have been sick a lot, making followng the current unit impossible. considering the...
Homework Statement
evaluate the integral of 25x^2lnxdx
Homework Equations
The Attempt at a Solution
First thing I did was set 25x^2 as D, then set lnx as I. Derivative of 25x^2 is 50x. The antiderivative of lnx is xlnx-x. Therefore it turned out to be something...
Hello all,
I'm working on a problem related to my MS thesis (in Civil Engineering, not mathematics). I have come across an integral on which I have spent entirely too long.
If I could get some pointers, I'd greatly appreciate it.
\int [E(x) \cdot (u''(x))^2 \cdot dx]
It is a...
picture a body falling toward a black hole.
at the center of the black hole you have an infinite amount of force pulling you toward the center: F=Gm1m2/x^2 while x=0. F=infinity
so at a certain distance away from the black hole you have a certain force pulling you in.
but as you approach the...
Homework Statement
Evaluate \int(e^x dx) from lower bound 0 to upper bound 1 without using the Fundamental Theorem of Calculus
Hint: Use the definition of a finite integral with right endpoints.
Homework Equations
The Attempt at a Solution
None
Homework Statement
Chicken nuggets are only sold in baskets of either 7 or 11 nuggets. What is the largest
number of nuggets that is impossible to order exactly? You must prove that your answer
is correct.
Homework Equations
Not sure what equations could be used, but I guess 7(x1) +...
http://img168.imageshack.us/img168/4228/testriguk1.jpg
The back portion is a box. But depending on how you look at it, it becomes one of those boxes that is impossible to close without crossing itself. Its an optical illusion, that I made out of pure luck! I showed it to someone and they...
ok from what I've heard and seen so far of many videos on time travel and space, i came to conclusion that we have the capabilities or the right idea of time travel, many other people will obviously say how we can stop time. i thought about it for a minute, i think that we can stop time but we...
Okay guys, i have a significant amount of CO2 i can release into the atmosphere, how much will you pay me not to.
PS, there is no way you will find me.
Homework Statement
a 100g granite cube slides down a 40 degree frctionless ramp. at the bottom, just as it exits onto a horizontal table, it collides with a 200g steel cube at rest. how high above the table should the granite cube be released to give the stell cube a speed of 150cm/s...
Lets say you had a box who's inside walls were perfectly reflective. In addition to this, because you are just so very awesome, you are somehow able to put a lamp inside that box that doesn't interfere with and of the light rays in the box except to produce more. Now since this is a silly and...
To the impossible ineqaulity of another thread let me add two new ones
1)1/x +1/y +1/z >= 2/x+y + 2/y+z +2/z+x for x,y,z positive real Nos
2) (x+y)'/x+y+2z + (y+z)'/y+z+2x + (z+x)'/z+x+2y>= (sqrt(x)+ sqrt(y)+sqrt(z))'/3
where a' means a to the square and sqrt(x) means the sqaure root of x
The question is
"The magnitude of the gravitational acceleration inside Earth is given approximately by g(r) = g_0(r/R_E), where g_0 is the surface value, r is the distance from Earth's center, and R_E is Earth's radius; the acceleration is directed toward Earth's center. Suppose a narrow...
Homework Statement
1.
An air puck of mass .25 kg is tied to a string and allowed to revolve in a circle of radius 1.0 m on a frictionless horizontal table. The other end of
2.
the string passes through a hole in the center of the table, and a mass of 1.0 kg is tied to it...
Is it possible to learn Linear Algebra and Vector Calculus (second year), Differential Equations, Advanced Algebra, Partial Differential Equations, Real and Complex Analysis, Metric Spaces, Quantum Mechanics, Special and General Relativity in a year (independently) while doing 1st year...
I need help with some of these problems. Any kind of help will be most appreciated
1. Speed amplifier. In Fig. 10-3, block 1 of mass m1 slides along an x-axis on a frictionless floor with a speed of v1i = 2.80 m/s. Then it undergoes a one-dimensional elastic collision with stationary block 2...
Oddly enough I came across this on Uncyclopedia.
Can you really divide by 1?
I know that it can be mathematically done with ease, but physically can it be done?
Imagine a pie, and your dividing tool is your knife. If you want to divide the pie in 2 you can do that just cut the pie down the...
Impossible "angular acceleration" problem
Homework Statement
The figure below shows a hollow cylindrical tube of mass M = 1.2 kg, L = 1.9 m, and moment of inertia ML2/10. Inside the cylinder are two disks of mass m = 0.6 kg, separated by a distance l = 0.8 m, and tied to a central post by a...
I really need help with these questions on my review sheet. I don't understand them and i have a test tommorrow. Can somebody show me how to do it, along with the answer. Do NOT answer in Significant Figures
Homework Statement
A truck travels beneath an airplane that is
moving 150 km/h...
Impossible to "pick" a field
Actually deciding on what I want to do for the rest of my life has been more difficult than anything I could possibly choose to do.
I constantly jump from thing to thing. Once I get a grasp of something I jump to something else. When try to "focus" on anyone...
I'm reading "Surely you're joking, Mr. Feynman!" which is one of the funniest and interesting books I've ever read!
However, in one paragraph, Feynman is talking with some topology students about a riddle:
The topology students: "You've got an orange, OK? Now you cut the orange into a...
If infinity were to be possible, it would seem that nothing in it's surrounding environments could be segmented or finite. How do we record segments of something that is infinite like for example time? It's almost as if infinity is really points of end, causing new beginnings. Thus causing an...
I just came across Earnshaw's Theorem which states:
A charged particle cannot be held in stable equilibrium by electrostatic forces alone.
As an example it said that equal and fixed point charges at the corners of a cube could not hold stationary a point charge at the center.
There was...
atmosphere temperature gradients at altitudes impossible??
Here's a link to a graph:
http://vortex.plymouth.edu/atmosphere/layers.html"
I don't understand how this is possible.
The atmosphere is
Warm at the surface, (due mainly to infrared heat from Earth's' surface -ok)
Cold at...
Can an aircraft fly with just one wing? it sounds impossible but this film
shows otherwise.
And the pilot pulled out of a spin, the use of afterburner seems to have given the aircraft the extra speed to stabilise flight.
Still very odd, i can not see how aerodynamically this aircraft flew.
the impossible lost city "Mega".
We have been there several times:
https://www.physicsforums.com/showthread.php?t=6347
https://www.physicsforums.com/showthread.php?t=38797
https://www.physicsforums.com/showthread.php?t=86402
I have said on several occasions that something unexplanable...
I've heard it is possible to prove, that some functions, for example defined with integral expressions, cannot be written with elementary functions (in somehow finite manner). Since I don't have a clue of how these things are proven, I'm now merely asking, that what kind of proofs these proofs...
I'm in the process of fleshing out some ideas for a story and one part of the story centers around a golf ball sized hemispherical hopping toy. I want the toy to be magical in the sense that it is made from a material that is physically impossible in our universe. Whatever this material is I...
Hi all,
I am reading pretty much everywhere that no quantum protocol for faster-than-light communication can exist.
Now, clearly neither super-dense coding nor any other quantum protocol I know of can be used for FTL communication - but is there a self-contained proof that no such protocol can...
Edit: I finally figured this problem out, although I didn't use residue systems, so a solution is no longer necessary.
Homework Statement
For this problem, I need to find a fomula for the largest unattainable score in a game where you can either score m or n points at a time (m and n are...
I have the equation that's in the attachment. Sorry I don't know how to write the equation here directly. My trouble is more or less like the one in the following example:
xln(x) + x^2 = 10
How do I solve for x??
In the equation that's in the file I'm solving for r3 btw.