Consider the parametric equations below. x = t sin(t), y = t cos(t), 0 ≤ t ≤ π/6 set up an integral that represents the area of the surface obtained by rotating the given curve about the x-axis. integral (0 to π/6) dt use your calculator to find the surface area correct to four decimal places.

Ascientist has discovered an organism that produces five offspring exactly one hour after its own birth, and then goes on to live for one week without producing any additional offspring. each replicated organism also replicates at the same rate. at hour one, there is one organism. at hour two, there are five more organisms. how many total organisms are there at hour seven? 2,801 19,531 19,607 97.655