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.
This species is probably the most common nautilus. The chambered nautilus also has small tentacles that it uses to swim or pull itself along rocks. In the daytime it descends about 2,000 ft (610 m) into the deep and at night it rises to a depth of 300â500 ft (90â150 m) to feed. The nautilus has an unusually long life span for a cephalopod; it may live for more than 15 years.