Mathematics

I'm having a problem in this please i would really appreciate if someone can solve this for me with the formula and everything 1- Find the whole number such that four times the number subtracted from three times the square of the number makes 15.

Cantor's second diagonal method is not from N to R because each element in the list is only a non-accurate representation of R member. Please open: http://www.geocities.com/complementarytheory/NEXT.pdf Thank you.

i'm trying to work out the area between 1/x^4-x^4 and x^2 and the x axis and the y axis 1/x^4-x^4 and x^2 can you give me a hand please? i've integrated between 0 and 0.9 but it gives me a negative area. :S what am i doing wrong? eventually i wanted to work out the area between -x^2 and the quartic. -x^2 aren't these curves beautiful

Evaluate: [math]\sum^{49}_{k=1} (-1)^{k} \binom {99}{2k}[/math] Figure this out without using calculator at all.

how do i solve this guy? thanks

Everytime I see number 8, this number reminds me of sign infinity. I wonder among all the numbers exists in world, why was the number 8 created as shape of infinity. Maybe there is no reason but this seems interesting.

how do i work out that if a machine is worth $15000 and if it's price decreases by 20% per annum that it will cost $9600 in two years using Sn=a(r^n-1)/r-1? using this formula it doesn't work.... thanks guys

When does 1 and 1 make 3? Happy New Year

Let us say that your own life depends on your ability to explain the Bijection concept to a 5 years old child. Please write your explanation. Thank you.

Cantor's second diagonal method is not form N to P(N) because each element in the list is only a non-accurate representation of R member, for example: Epsilon = Invariant Proportion About 3.14... = circumference/diameter: Let us say that Epsilon is equivalent to the invariant proportion that can be found in the triangles below. (VERY IMPORTANT: When Epsilon = Invariant Proportion, then there is no connection to words like 'smaller' or 'bigger' or 'size' or 'magnitude' or 'Quantity', and the reason is clearly explained) , |\ | \ | \ | \ | | | |\ | | \ | | \ | | \ | | | | | |\ | | | \ | | | \ | |…

Trying to come up with a function that fits (0,0) (1,1) (2,3) (3,7) (4,15) (5,31) (6,63)... If not too much trouble, help please. Thanks.

Recently, I was looking through my sister's Maths Textbooks and I saw a very interesting topic I could learn. So for the next few days I learnt the basics of permutations and their applications. All was well until I stumbled upon a question that I was unable to solve. With no one else to turn to (my sister has not yet been taught permutations yet), I decided to post my question on the boards. The question goes like this: There are 9 books arranged on a shelf. 2 of them are labelled A, 3 of them are labelled B and 4 of them are labelled C. How many permutations of the books are there if: a)none of the books labelled A were next to each other. b)none of the …

One of the most devastating things in the Language of Mathematics and its logical reasoning is a hidden assumption, and the worst thing is a first-order hidden assumption. Let FOHA be a First-Order Hidden Assumption. Let UQ be Universal-Quantification. Is there a FOHA in the way we use UQ concept? The UQ is based on the term ‘For All’. The meaning of the word ‘All’ is synonym to the word ‘Complete’ and if it is related to a collection of elements, then from a quantitative point of view ‘All’ is actually the SUM of this collection, where in the level of SUM we are no longer in the level of each single element that exists in this collection. The SUM …

Hi, Does someone know where the mass centre of a half sinus period is located? I know pi/2 on the x-axes but on the y-axes ? to give an idea for a half circle it's located at R*4/(3*pi) that is 0.42 for R=1

hi there. would you mind helping me a lil with this one. it's sinx=1/2+cosx i think its really easy to solve but i can never get a positive value for it. i tried substituting Cos2x=1-2sin^2x also tried it it with sec^2x=1+tan^2x i know there's 1 positive and 1 negative value at least. between 0 and 2pi thanks in advance

Hello friends, it has occured to me that I know depressingly little about mathematics in general. I mean, I can do all the stuff in class they want you to do, but I really am not comfortable with any of the stuff. In saying this, I mean that I feel as though there are certain things I haven't learned....probably because they were attempted to be taught to me by southern women entertaining too many children.... Anywise, I was fiddling around with a circle the other day, and I wrote a TI-BASIC program that computes the Pi constant from scratch. If any of you are interested, here is the code (Ti-83 plus): :PROGRAM:CIRCLE :ClrHome :Input "Radius:",R :0-->F :…

This week we are rewarding the What People Think is The Most Used Theorem In the Whole Of Physics, Chemistry, Biology and obviously Mathematics. Place your nominations NOW!!!. voting will commence on 1st of January!! Current Nominees:- 1)Pythagoras's Theorem 2)Fundamental Theorem of Calculus 3)Chain Rule Note: natural selection removed due to the fact that its not a theorem and general displeasure among the formites. If you want it back, you will have to put up a strong case for it

Binary, sure. Base four? Okay, its a little more managable than binary, and base 16 is in full use throughout computing... but base 10? Why not make it base 7.5? That's just as useless. What's with the base 10 numbering system? What a stupid system. I seriously cannot understand how we still use such a primitive numbering system in this day and age. Well, I can... but it is time for revolution! Aside from my rant, what would be the best numbering system for the future? 1,4 or 16? Or something completely different? I don't know about you guys, but I stopped counting on my fingers when I graduated teh preeskule.

Guys, How do you solve this one? z^3 + Az^2 + Bz + C = 0 ; So far I have reached this solution ( resources from web of course ) w = (-f +- sqrt ( 27f^2 + 4e^3 )/ 27 ) / 2 * Substitution : z = y - b/3; y = x + s/x; s = -e/3; w = x^3; e = (c - b^2)/3 f = d + (2b^3/27) - (bc)/3;

I have already made a post for this, but that was in early October, and would be hard to find in all of the more recent posts. I wanted to know what the uses of the mathematical constants [math]\pi[/math], [math]e[/math], [math]y[/math], and [math]\phi[/math] are for, and what there uses are. For example, I know that [math]C=\pi r2[/math], and that [math]A= \pi r^2[/math], and that [math]\pi[/math] is aproximatly equal to [math]3.1415[/math]. So, I guess I understand [math]\pi[/math] pretty well. But I have no idea about [math]y[/math] [math]e[/math] or [math]\phi[/math].

I know that imaginary numbers are numbers that are based on [math]i[/math] [math]\sqrt{-1}[/math], but why are they imaginary. Why can't there be [math]\sqrt{-n}[/math]? Why can't you have a product a negative number, yet you can have a sum?

Epsilon = Invariant Proportion About 3.14... = circumference/diameter: Let us say that Epsilon is equivalent to the invariant proportion that can be found in the triangles below. (VERY IMPORTANT: When Epsilon = Invariant Proportion, then there is no connection to words like 'smaller' or 'bigger' or 'size' or 'magnitude' or 'Quantity', and the reason is clearly explained) , |\ | \ | \ | \ | | | |\ | | \ | | \ | | \ | | | | | |\ | | | \ | | | \ | | | | | | | |\ | | | | \ | | | | | | | | | |\ |____|____|___|__|_\ Each arbitrary right triangle's area is smalle…

Hello everyone I have a website dedicated to helping people learn any type of math and physics. At first it started out as a website helping people how to do proofs, but then I expanded out to physics as well: http://fsc729.ifreepages.com/ In my forum I have links to partial solution sets for popular textbooks, book reviews and more. In addition I have a link to totally free online textbooks. Please visit my website and if you have any ideas you want to share you can sign my guestbook or post in my forum. It is completely free, Thank You John G.

Prove that any five consecutive integer is divisible by 5 such that the least term is > 0. Prove that any two integer's sum is NOT always divisible by 3. State why this is and tell in what case is this possible. Prove that: [math]\binom {n}{k}[/math] equals [math]\binom {n}{n-k}[/math]

Hi, For a number like 45 915, are both ways of writing that number below in words correct? Is there a more standard way? Forty-five thousand, nine hundred and fifteen. Forty-five thousand and nine hundred and fifteen. Thanks in advance and sorry for asking such a basic question here