Applied Mathematics

can please solve this although looks simple but i can't find my mistake An aircraft is flying at height of 3400m above the ground.If the angle subtended at a groung observation point by the aircraft positons 10secs apart is 30degrees ,what is the speed of the aircraft? tan30=10v\3400 well the ans i got is 196m/sec but actually the answer written is 182m/sec

Let's take a classical example of an urn containing red and green balls. Balls are drawn from it without returning them back. If you know that there are r red balls in an urn from the total amount of n, then the probability that a random ball drawn from it is r/n. Now let's assume you know nothing about the ratio of red and green balls in an urn. In such a case all 101 possible values of r are equiprobable, and the subjective probability of drawing a red ball is 0.5. But, assuming you have drawn the first ball and it proved to be red, what is the chance that the next one will be red as well? I suppose it would be more then 0.5 since drawing a red ball somewhat inc…

I have the file right here. Thanks for your help! I'd appreciate an explanation on how you solve the problems.

The long standing formula for the volume of a sphere is: [math]\left(r^3\right)*\left(\frac{4\pi}{3}\right)[/math] = volume of sphere I have calculated a new and much simpler formula: [math]\left(\frac{dia^3 \pi}{6}\right)[/math] = volume of sphere Anyone have something to add?..............solo

I did a google and found out that the square root of i is [sqrt 2]/2 + [sqrt 2]/2i, but the reasoning behind it is stuff way out of my league. Can anybody simplify this to a reasoning easier to understand?

It seems reasonable that wavelengths or frequencies can be applied as the dimensions of the lines that form a polygon, but not mixed. One would also expect that a mutually equivalent polygon would be created when the inverse of the dimensions expressed as a wavelength (or frequency) is calculated. Has the mathematics of polygon wavelength frequency relationships been developed? What area of mathematics would cover this type of relationship? What search terms would cover the subject?

Can anyone help me determine how much force is created when a one tesla permanent magnet is allowed to make contact with a flat piece of iron. The distance that this size magnet can be released and will be drawn to the iron is about 3 centimeters. Is there any way to express this force in joules or watts?

I really need help here lol. I have an assignment due this friday, the whole thing is on confidence intervals, and I have no clue what I'm doing -_-' OK! So, what I do know is that a confidence interval is used to test how sure you are that a predicted SRS of size n has a certain mean. How would I do an example question like We know some statistic has standard deviation of 5.00 (nice and easy lol) If we wanted to know how big of an SRS is needed to predict the mean within a standard error of 2.00 with .95 confidence, how would I do that? I know if I had even a simple question like this explained to me, I'd be able to tackle any of the harder question…

A particle is dropped from the top of a tower on the Earth's equator. As a result of the Earth's rotation, does it land slightly to the east, or slightly to the west of the tower?

not sure wether stats goes in applied or analysis, but i saw some stuff on probability in this forum... sorry if this is in the wrong place. Basically, i was thinking about why we accept some stuff as random, whilst other stuff is deemed unrandom, even tho the statistical likelyhood is the same. i think i've figured the answre out, but id be interested in wether i'm right or not. Basically, if we, say, roll two dice 1000 times, and get the following results: die1: 1,4,3,1,2,6,etc (i.e., seemingly random string of numbers) die2: 1,2,3,4,5,6,1,2,3,4,5,6,1,2... (i.e., the sequence '1,2,3,4,5,6' repeating) then, we'd say die 1 was random, whilst die 2 wasn…

We know that the set of all Killing vectors on a Riemannian manifold [math] (M,g)[/math] form a lie subalgebra of the Lie algebra of vector fields on [math] (M,g)[/math]. This is the Lie algebra of isometries of [math](M,g)[/math]. For example, the Killing fields on [math]S^{2}[/math] with the standard metric [math]g = d\theta \otimes d\theta + \sin \theta ^{2} d \phi \otimes d \phi[/math] form the Lie algebra [math]\mathfrak{so}(3)[/math]. My question is, does anyone know what the conformal Killing vector fields on [math] S^{2}[/math] (again with the standard metric) are? What is the Lie algebra of conformal isometries of [math](S^{2}, g)[/math]? I ask be…

If this is indeed what "strong emergence" means to the academic community, then I think one can confidently conclude that "strong emergence" does not exist; if you like subtle thoughts, see my paper A Universal Analytical Model of Explanation Itself". With regard to "weak emergence" (that is with regard to the definition of "weak emergence") I feel it can also be dispensed with via the following proof. That is, emergence is emergence and there is nothing either weak or strong about it! People begin to think about weak "emergence" when what they are looking at is more complex than what they can deduce from "known laws". What they seem to forget is that physics is ap…

I'm designing a blimp - a non-rigid, helium filled airship of about 15 metres (45 feet). Diameter about 3 metres (9 feet). I'd like to know what drag the blimp will produce so I can select the motor sizes and consequently battery sizes - all of which reflects into the payload ability. How can I calculate the drag? I know that it is largely done experimentally using a wind tunnel, but what is the draq equation that I am to begin with? What is a good way to measure drag in a wind tunnel?

IF a and b are on different planes A and B, A//B must a//b?

Does any one know who to prove that fibre bundles over contractible spaces are trivial? One method woud be to use the Homoptopy axion for bundles. Do you know how easy that is to prove? I was wondering if there is a more geometric method of proving it. It seems obvious that on say R^n we could use the global coordinates of R^n as a local trivialisation. Thus only one trivialisation would be needed and hence we have a trivial bundle. Can this be proved? Any ideas and references welcome. Cheers AJB:confused:

Hi everybody. I remembered when having a discussion today with my driving instructor about centripetal forces, mechanics and gravity; that I stumbled upon the realisation that whereas I know the maths regarding these subjects, I cannot justify it or gain a true understanding from first prinicples or axioms. For example, I know that centripetal accelleration is equal to [math] \frac{v^2}{r}[/math], but I cannot derive or prove it from axioms/first principles. To be honest I do not know any either. I would love to be able to refurnish up my understanding from the ground up, to put it metaphorically. Thereby I have 2 favours to kindly ask of you. Could someone please te…

Hi, I'm afraid this problem will sound ridiculously elementary to mathematicians, but I'm dumb enough to be unable to get around it. I've searched the web for answers, but I get either too complicated stuff, or stuff I already know but which looks unrelated to my actual question (e.g. the normal distribution). After an election, N (closed) voting papers are found when opening the total of the ballot boxes. Then people start opening them, counting the votes and hence calculating the provisional results. So far, no problems. However, if at a given moment we've opened S (randomly chosen) voting papers out of the total N, is there a formula, allowing us to calculate th…

Music is applied mathematics. If we look at a single note from any audio source, it can be defined with three mathematical parameters; attack, sustain and release. During the attack, the math function of going from zero sound to sort of steady state. The attack of a piano note is a different wave function than say that from a violin. The sustain is how the note propagates. It can be uniform or can even fluctuate like the human voice. The decay, is the note decreasing in volume toward zero volume. This can happen abruptly or slowly decay linearly or using other math functions. Using a wide variety of math wave functions and these three parameters, one can make any sound ty…

I was just wondering if there are any regular Mathematica users on this forum? I use Mathematica all the time, mostly for fun. I wanted to know about how to write packages. Any advice? Cheers.

Suppose I have a die with x number of sides, and I roll it y times. Is there a probability equation I can use to figure out the odds of it rolling a certain side a certain fraction of the times? For example, if I have an 8-sided die, and I roll it 500 times. What equation can I use to figure out if it will roll a seven exactly 54 out of those 500 times. Thanks ahead of time. EDIT: Please understand that I am NOT asking you for the answer. Even if you give me an equation along with it, I want to figure it out myself. I don't want to appear as someone who is too lazy to do my own math homework, especially with the math skills I have (I work at a fast-food plac…

21 men were employed to do a work in a cetain time.When 1/3rd of the time was completed only a quarter of work was done.How many more men should be employed to complete the work in 3/4th of the scheduled time. I got the answer as 11.(i am not sure)Can u help!! Jyoti

I have a question here I will appreciate for any idea,The mean of distribution is 5.The second and third moments about the mean are 20 and 140 respectively.Find the moment of the distribution about 10.

ok i figured it out!

I have been trying to find a good in depth explanation of the math behind random walks ever since it was mentioned in a Quantum Mechanics class I took. If anyone can enlighten me that would be great.

This question is killing me because I'm terrible in math. It has to do with my question before... Nine categories 5 possible winners for each category How many possible combinations are there?