The similarities are that they are polynomial functions and therefore continuous and differentiable.
A real cubic will has an odd number of roots (and so must have a solution), a quartic has an even number of roots and so may have no solutions.
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b2y2 = x3(a-x)
The flow of an ideal fluid through a tube is a quartic function -- the flow rate varies with the radius to the 4th degree. So if you double the radius of a tube, 16 times more fluid can pass through the tube in the same interval of time.
^4 sqrt32 ^4 sqrt 16*2 2 ^4sqrt2
No. It is a quartic equation. The largest power of x in a quadratic equation must be 2.
Oh, dude, that's an arithmetic sequence. You know, like when you add the same number each time to get to the next number. In this case, you're adding 5, then 6, then 7... you get the idea. It's like a math puzzle, but with less excitement.