Mathematics

How do I figure out how many roots there are in a function? (Explain steps and post formulas) Example1: y= (x+3)^2 -2 Example2: y = (7x - 1)(x^2 - 2) Thanx

Six poker chips have numbers written on them so that one chip is numbered "1," two chips are numbered "2," and three chips are numbered "3." The chips are placed in a bag and three chips are drawn at random and without replacement. What is the proability that the sum of the numbers on the chips drawn is divisible by 5?

Hi all! I'm trying to use the Max-Flow Min-Cut Theorem to prove Hall's Marriage Theorem. How can this be done? Thanks!

At this site: http://www.ess.sunysb.edu/fwalter/AST101/habzone.html the author makes some fairly innocent statements that should arrive at a quick formula. However, my english to math translations have never been good. What I am looking for should be two formulas, one to determine the inner and outer diameter. Would anybody care to take a shot at making the translations?

Can somebody please explain to me, in plain English, what Godel's Incompleteness Theorem is. I read it on wikipedia and I couldn't understand a word of it.

Is it possible to find the angle measure of two lines following y=mx+b format? I didn't think so because it is impossible to determine the slope of a vertical line, but I also could be wrong. I tried to relate two slopes to their definite angle measures. I used slopes 1 and -1 for 90 degrees, and 1 and 0 for 45 degrees. I can't find any relationship after using multiple slopes, so I don't know if there is already a way.

Given that f(x)=x+sinx f(pi)=? I saw many textbooks say f(pi)=pi But isn't it f(pi)=1/2?

A factory employs 100 people. 76 of these people are men. 24 are women. The mean weekly wage of all the 100 people is £407 The mean weekly wage of the men is £395 work out the mean weekly wage of the 24 women.? __________________________________________________ I'm sure there are people here who could do this question in their heads with their eyes closed. Please reply with a full explanation. Thanks in advance. (You've got 5 hours) MAX.

If you say "add all the real numbers from a to b," you would get an infinite answer, but if you say "add all the intergers from a to b" you get a finite answer. The problem I pose to you SFNers is: Prove that for any a and b that are not the same, prove that the infinite series summing all the rational numbers between them diverges. (Hint: You don't need to sum all of the rational numbers between a and b if you can show a series with only some of terms diverges.) Edit: BTW, just to let you know, this is a little challenge problem I'm giving to the community that arised from a conversation between ecoli and me. Just so you don't think its hw or anything.

Just for fun: http://www.math.mcgill.ca/~dsavitt/GTM.html I was the Warner book on manifolds and Lie groups. Which one are you?

Jack Handley's new telephone number, together with the area code, forms a ten-digit number consisting of a pair of 1's separated by one digit, a pair of 2's separated by two digits, a pair of 3's and a pair of 4's both separated by three digits, and a pair of 5's separated by five digits. Neither the sixth nor the ninth digit is a 4. What is his new telephone number?

At this site http://www.ess.sunysb.edu/fwalter/AST101/habzone.html he makes several statements which should yield two simple formulas. Those formulas being a Outer and Inner boundaries. My problem is in translating his english to math. As near as I can tell I=(S^4/(1/L))*A should determine the Inner boundary. Where S= The sun's temperature, L is equal to the lower end temperature of the planet (most likely at equator), and A is equal to the Albedo of the planet. Likewise, as near as I can determine O=(S^4/(1/U)) should determine the Outer boundary, where S = Sun's temperature and U is the upper end of the temperature range. While I'm at it, anybody car…

1) what's the difference between: something is supplied by R, given that it fails during the warranty period and something is supplied by R, and it fails during the warranty period ?? 2) What's the definition of conditional probability? the def I found is: This is the probability of an event given (or conditional upon) the occurrence of another event, eg the probability of disease Y given exposure to factor X. can any explain this with a real life example? 3) There are 15 balls, where 8 blue, 7 red. I draw 5 balls, replacing each ball after I draw it. I tell you that four of the five balls were blue. What then is the probability that the first two bal…

Could you give me some examples of recursively enumerable sets which are not recursive?

What is the smallest number that is divisible by 13 but when divided by the whole numbers 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, and 12 yields a remainder of 1?

I have a project assigned for my differential equations class and i was looking for some help on how to get started. I'm supposed to solve the initial value problem: y' = f(x,y) y(x(0)) = y(0) by taking into account the method of Picard, which we discussed in class. the problem is : y' = x*y y(0) = 1 i need to show that y(x) converges to the true solution. Our prof wants us to use a math software package which I don't have much experience in. I do know fortran, but don't know if that's any help. Im looking for a recommendation on what software to use, maybe some help on the code, or a general overview of how the problem should be handled. thanks.

Leibniz said that the circunference of an infinite circle would be for us like a rect line. I would want some information about these ideas of Leibniz, and oher ideas that would be on the origins of calculus.

Hi, i need to do this for homework but I can't figure it out. If anybody could walk me through the solution that'd be great. (1978 AB 5) given (xsquared)-xy+(ysquared)=9 a. write a general expression for the slope of the curve b. find the coordinates of the points on the curve where the tangents are vertical c. at the point (0,3) find the rate of change in the slope of the curve with respect to x also, if anybody knows a free website with problems and solutions of AP AB calculus free response from the 1970's and 80's please let me know- thanks

Hi everyone. I want to inert a program in my portable calculator, a small one. Particularly, I want to use it to find the roots of equations with a degree as high as 4, involving trigonometry. In fact, there are many programs I can choose but I have no idea which gives me the answer the fastest. Iteration Method/False Position Method, or Regula Falsi/Secant Method/Iteration Method/ Newton's Method.

Hi everyone! This has been annoying me for a while now, you can have things like base 8, base 6, base 2, base 10 but how about something like base 2.5 for example, would that be valid? (Probably useless but there we go!) Also, would a negative base be valid and would an irrational base be valid too, such as base Pi for example? Cheers, Ryan Jones

Hi! I've got a question concerning neighbourhoods of points in 2- and 3-dimensional space. How can we explicitly show, using only the definition of a given metric, that the according neighbourhood is some figure? For example the three metrics are given: 1) [math]d(x,y)=\sqrt{\sum_{i=1}^{n}{(x_i-y_i)^2}}[/math]; 2) [math]d(x,y)=\displaystyle\max_i|x_i-y_i|[/math]; 3) [math]d(x,y)=\sum_{i=1}^{n}|x_i-y_i|[/math] If [math]a\in{\mathbb{R}}^2[/math] and the metric is 1), then it's clear: [math]d(a,x)=\sqrt{(a_1-x_1)^2+(a_2-x_2)^2}<\epsilon[/math] and it's clear that it's a circle...because one can rewrite:[math](a_1-x_1)^2+(a_2-x_2)^2<{\epsilon}^2[/math] …

How can i make a histodiagram in Excel by using Microsoft Windows Version 2002? Or how can i make it, which softwares? Thank you!

when finding the genotype ratio of Aa * Aa we could use binomial expansion (A+a)*(A+a) to get 1:2:1 ratio but how do we find AaBbCc * AaBbCc ?

so this is the problem: [math]d + e + f = A[/math] [math]d*e + d*f + e*f = B[/math] [math]d*e*f = C[/math] Where your trying to isolate d, e and f in terms of A, B and C. Is it impossible? I haven't been able to isolate anything... BTW I got this by figuring out what the factors of [math]x^3 + Ax^2 + Bx + C[/math] would be: [math](x + d)(x + e)(x + f)[/math] and the system of equations was how I'd figure out what the d, e and f's equaled. anyways, if it is possible to do, please help, this isn't homework or anything just trying to figure out this...

Can you find ANY point of a trigonomic function with only the radius, and an angle without using a system of equations to find the point of intersection between the circle's ray and its itself?