Between November first and March thirty first, the population of penguins on a small island off the coast of Antarctica is approximately P=500+1.5t2−0.01t3 penguins, where t is days after November first.

A) Scientists have calculated that when the penguin population is P, the average level of noise they will make is N=√100+3P decibels. How fast is the noise level of the penguins changing on day t=60?

B) 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

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+1.5t2−0.01t3 penguins, where t is days after November first.

A) Scientists have calculated that when the penguin population is P, the average level of noise they will make is N=√100+3P decibels. How fast is the noise level of the penguins changing on day t=60?

B) 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