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13 Nov 2019
I need help with those two qustions
1. Let N represent the amount of nicotine (in mg) in the body and let t represent time (in hours). In each scenario, write a differential equation that N satisfies. Do not solve the equations. (a) Nicotine enters the body at a rate of 5 mg/hour. (b) Nicotine leaves the body at a rate proportional to the square of the amount of nicotine present in the body. (Assume k ã 0.) c) Nicotine enters the body at a rate of 5 mg/hour and leaves the body at a rate proportional to the square of the amount of nicotine present in the body. (Assume k ã 0°) 2. A local crime scene investigator is modeling the temper- ature of a dead body, T (in °C), lying in the cold winter air. Assume that the temperature of the body was 35°C when the investigator arrived on scene, and assume that the temperature of the air is (constantly) 5°C (a) Write a differential equation that T satisfies (b) Find all equilibrium solutions of the differential equation from part (a). For each equilibrium so- lution, determine if it is stable or unstable (c) One hour after the investigator arrived, the tem perature of the body was 25°C. Find the particular solution to the differential equation from part (
I need help with those two qustions
1. Let N represent the amount of nicotine (in mg) in the body and let t represent time (in hours). In each scenario, write a differential equation that N satisfies. Do not solve the equations. (a) Nicotine enters the body at a rate of 5 mg/hour. (b) Nicotine leaves the body at a rate proportional to the square of the amount of nicotine present in the body. (Assume k ã 0.) c) Nicotine enters the body at a rate of 5 mg/hour and leaves the body at a rate proportional to the square of the amount of nicotine present in the body. (Assume k ã 0°) 2. A local crime scene investigator is modeling the temper- ature of a dead body, T (in °C), lying in the cold winter air. Assume that the temperature of the body was 35°C when the investigator arrived on scene, and assume that the temperature of the air is (constantly) 5°C (a) Write a differential equation that T satisfies (b) Find all equilibrium solutions of the differential equation from part (a). For each equilibrium so- lution, determine if it is stable or unstable (c) One hour after the investigator arrived, the tem perature of the body was 25°C. Find the particular solution to the differential equation from part (
Trinidad TremblayLv2
20 Aug 2019