An isolated island in the Pacific Ocean has been studied for years by a team of field biologists. They have discovered that an invasive species of fish has migrated to the region and are now preying upon native fish species. Over the past few months, the biologists have measured the predator and prey numbers and have fit their data to the following polynomials:

x(t) = 150000 + 44992t - 5250 t² - 524.91 t³
y(t) = 20 + 59994 t - 0.7t² - 699.63 t³

where x(t) represents the population of prey in the waters off the island coast and y(t) represents the invasive species population. Both functions are only considered valid for the next nine months, so 0 ≤ t ≤ 9. according to the data and the model, what were the initial species populations when the invasion began? At what time will the predator and prey populations reach a maximum? what are the maximum populations? for what time interval(s) will the prey population increase? assuming no action is taken, can the native species="">