Differential Equations as Models In Problems 32 through 36, write-in the manner of Eqs. (3) through (6) of this section-a differential equation that is a mathematical model of the situation described. 32. The time rate of change of a population P is proportional to the square root of P. 33. The time rate of change of the velocity v of a coasting motorboat is proportional to the square of v. 34. The acceleration dv/dt of a Lamborghini is proportional to the difference between 250 km/h and the velocity of the car.

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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pls do 32,33,34

Differential Equations as Models
In Problems 32 through 36, write-in the manner of Eqs. (3)
through (6) of this section-a differential equation that is a
mathematical model of the situation described.
32. The time rate of change of a population P is proportional
to the square root of P.
33. The time rate of change of the velocity v of a coasting
motorboat is proportional to the square of v.
34. The acceleration dv/dt of a Lamborghini is proportional
to the difference between 250 km/h and the velocity of the
car.
Transcribed Image Text:Differential Equations as Models In Problems 32 through 36, write-in the manner of Eqs. (3) through (6) of this section-a differential equation that is a mathematical model of the situation described. 32. The time rate of change of a population P is proportional to the square root of P. 33. The time rate of change of the velocity v of a coasting motorboat is proportional to the square of v. 34. The acceleration dv/dt of a Lamborghini is proportional to the difference between 250 km/h and the velocity of the car.
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