Question

A conservationist finds that the population P(t) of a certain endangered species is growing at a rate given by P'(t) = 0.54e^(-0.06t), where t is the number of years after records began to be kept. If the population is P0 = 500 now (at time = 0), what will it be in 5 years? Population = ________

Name: a conservationist finds that the population pt of a certain endangered species is growing at a rate given by pt054e 006t where t is the number of years after records began to be kept if the 67652
Uploaded: 2022-06-10T12:33:42-08:00
Duration: 3 min 2 s
Channel: Madhur L
Description: a conservationist finds that the population pt of a certain endangered species is growing at a rate given by pt054e 006t where t is the number of years after records began to be kept if the 67652

          A conservationist finds that the population P(t) of a certain endangered species is growing at a rate given by P'(t) = 0.54e^(-0.06t), where t is the number of years after records began to be kept. If the population is P0 = 500 now (at time = 0), what will it be in 5 years?
Population = ________

Added by Jennifer N.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Madhur L

06/10/2022

Step 1

54e^(-0.06t), we need to find the population function P(t) by integrating the growth rate function. Show more…

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A conservationist finds that the population P(t) of a certain endangered species is growing at a rate given by P'(t) = 0.54e^(-0.06t), where t is the number of years after records began to be kept. If the population is P0 = 500 now (at time = 0), what will it be in 5 years? Population = ________