Suppose that P(t) (with t in months), the fish population in a lake contaminated by chemicals, satisfies the differential equation (a) (b) dP dt =-kP, k>0. Find the general solution of this differential equation. If today there are 400 fish in the pond, and we know that in a month there will be 300 fish in the pond, how many will be there after 1 year? (Give the exact value calculated with this model, do not approximate.)

Suppose that P(t) (with t in months), the fish population in a lake contaminated by chemicals, satisfies the differential equation (a) (b) dP dt =-kP, k>0. Find the general solution of this differential equation. If today there are 400 fish in the pond, and we know that in a month there will be 300 fish in the pond, how many will be there after 1 year? (Give the exact value calculated with this model, do not approximate.)

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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