Between November first and March thirty first, the population of penguins on a s
ID: 2845672 • Letter: B
Question
Between November first and March thirty first, the population of penguins on a small island off the coast of Antarctica is approximately P=500+1.5t2?0.01t3penguins, where t is days after November first.
A certain scientist believes that on day t each penguin on the island will be producing g=25?0.02t ounces per day of penguin guano. Based on the scientist's model, how fast will the total daily production of penguin guano be changing on day t=60?
A rival scientist believes that when the total population of the island is P penguins, the amount of penguin guano they will collectively produce isG=23.5P?0.002P2. Based on the second scientist's model, how fast will the total daily production of penguin guano be changing on day t=60?
Explanation / Answer
A.)
P = 500 + 1.5(60)^2 - .01(60)^3 = 3740
N = sqrt(100 + 3(3740))
N = about 106.3955 decibels
--------------------------------------
B.)
g = 25 - .02(60) = 23.8 ounces per day
---------------------------------------...
C.)
using the same value from A.
G = 23.5(3740) - .002(3740)^2 = 59914.8 ounces per day
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.