Form a third-degree polynomial function with real coefficients such that 2 + i and 6 are zeroes, math homework help
1. Form a third-degree polynomial function with real coefficients such that 2 + i and 6 are zeroes.
2. A superhero is rendered powerless when exposed to 50 or more grams of a certain element. A 350 year old rock that originally contained 300 grams of this element was recently stolen from a rock museum by the superhero’s nemesis. The half-life of the element is known to be 150 years.
a) How many grams of the element are still contained in the stolen rock?
b) For how many years can this rock be used by the superhero’s nemesis to render the superhero powerless?
3. In 1995, 1000 runners entered a marathon in Joppetown USA. In 1999, 23000 runners entered the race. Because of the limited number of facilities, the carrying capacity for the number of racers is 64000. The number of racers at any time, t, in years, can be modeled by the logistic function P(t) = C/1+Be^kt. In what year should at least 59000 runners be expected to run in the race?
