This page contains an applet to help you explore polynomials of degrees up to 5: f(x) = ax5 + bx4 + cx3 + dx2 + ex + f. by changing the values of the coefficients a, b, c, d, e and f. It is not easy to draw any conclusion when you change all 5 coefficients at the same time. You can always reduce the degree (highest power) by setting some parameters to zero. For example if you set parameter a to zero and b to a non zero value, you obtain a polynomial of degree 4.
What is a nautilus? The nautilus is a mollusk that uses jet propulsion to roam the ocean deep. Writers, artists, and engineers have long marveled at the nautilusâs beauty and swimming abilities. The chambered or pearly nautilus is a cephalopod (a type of mollusk)âa distant cousin to squids, octopi, and cuttlefish. Unlike its color-changing cousins, though, the soft-bodied nautilus lives inside its hard external shell. The shell itself has many closed interior chambers or âcompartments.â.
The Chambered Nautilus. This is the ship of pearl, which, poets feign, Sails the unshadowed main, -- The venturous bark that flings On the sweet summer wind its purpled wings In gulfs enchanted, where the Siren sings, And coral reefs lie bare, Where the cold sea-maids rise to sun their streaming hair.ts webs of living gauze no more unfurl; Wrecked is the ship of pearl! And every chambered cell, Where its dim dreaming life was wont to dwell, As the frail tenant shaped his growing shell, Before thee lies revealed, -- Its irised ceiling rent, its sunless crypt unsealed!