Cubic Definition and 415 Threads

This is a numerical analysis question, and I am trying to prove that the p(0), p'(0), p(1), p'(1) define a unique cubic polynomial, p. More precisely, given four real numbers, p00, p01, p10, p11, there is one and only one polynomial, p, of degree at most 3 such that p(0) = p00, p'(0) = p01...

It's very easy to solve the equation for x: ax^2 + bx + c = 0 The law for the answer will be (-b+-sqrt(delta))/2a OK, what if i want to solve: ax^3 + bx^2 + cx + d = 0 ax^4 + bx^3 + cx^2 + dx + e = 0 a,b,c,d,e constants, How I'm going to solve this for x? isn't there a general law?

I've been kicking myself trying to think of a few real world applications of cubic equations (and x^4 quintive?). Can anyone give me a few examples? Thanks, Jeremy

Benzun started a thread with this question: I have replied to that question, and want to extend the question (without diverting Benzun's original thead). the related question is, if you have a hollow box or cavity at some temperature T, then how many photons per cubic meter are in it...

hi, just out of curiosity. What is the maximum number of photons that can be accommodated in 1 cubic meter? -benzun

Is there a way (algebraic or otherwise) to find the inverse function of a cubic polynomial? For example: y(x) = x³+x-9 y-1(x) = ?

HELP PLZ! Motion in inverse cubic force field...thx 1000000 in advance! Say a particle expereinces a net force F = -Amr^-3, where A is some constant, m is the mass of the particle (point mass), and r is the distance. How should I go about in describing the possible orbits of the particle with...

How many are there in a cubic in inch?

Is anybody interested in this problem? Solve This One: Victor Niederhoffer in "Education of a Speculator," recalls that he wanted to join his Brooklyn High School Math Team, and prepair for a hope-for entrance to Harvard University, which he achieved. He mentions that he was asked to solve in...

1. Acetone has normal boiling point of 56.5 oC, and heat of vaporization of 32.0 kJ/mol. Find the boiling point at 580 mmHg. 2. Given element, its structure and density, find its atomic radius in pm. Cr, body centered cubic, 7.19 g/mL. Well, as for question 1, I'm totally stumped...

Do I need to use "cc" to represent "cubic centimeters?"

Instead of long ass "formulas" for Cubic and Quartics equations, can someone give some solving techniques? Perhaps in the end attach the formula just in case your hand gets itchy?

For all of those curious mathematicians out there, this one is for you. Click the link below to be redirected to a page with the cubic formula on it. I'm sure that this equation will provide you with a challenge! (If you get the equation solve 4x^3+2x^2+5x-2) Cubic Formula

on a ti83 calculator, how do you put in cubic roots?

One calorie per cubic mile is almost exactly the same as one joule per cubic kilometer. Because a calorie is 4.185 joules and a cubic mile is 4.166 cubic km. And the density of the universe has finally been measured to the general satisfaction of astronomers, at 0.85 joule per cubic...