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.
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F45e17c42-e720-47c0-b51f-8a824e5c4edf%2Fb145948c-396c-4904-8197-86e07a04b55a%2Fcmyxyn8_processed.jpeg&w=3840&q=75)
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