Assume that k is a constant. Choose the differential equation (DE) that is a mathematical model of the following situation: The acceleration dv/dt of a sports car is proportional to the difference between 235km/h and the velocity of the car.
Assume that k is a constant. Choose the differential equation (DE) that is a mathematical model of the following situation: The acceleration dv/dt of a sports car is proportional to the difference between 235km/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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Question
![O A.
dv
O B.
dt
C.
dv
dt
O E.
dv
dt
dv
= 235k - v
dt
=
D. none of these
k(235+ v)
=
= k(235 – v)²
= k(235 – v)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd2d4a718-d24f-4f2d-ab1b-744b1dd7818a%2Fc0a8cf48-411b-49de-bfe5-7bdb4a497b09%2Faxb95b_processed.jpeg&w=3840&q=75)
Transcribed Image Text:O A.
dv
O B.
dt
C.
dv
dt
O E.
dv
dt
dv
= 235k - v
dt
=
D. none of these
k(235+ v)
=
= k(235 – v)²
= k(235 – v)
![Assume that is a
constant.
Choose the
differential
equation (DE) that
is a mathematical
model of the
following
situation:
The acceleration
dv/dt of a sports
car is proportional
to the difference
between 235km/h and
the velocity of the
car.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd2d4a718-d24f-4f2d-ab1b-744b1dd7818a%2Fc0a8cf48-411b-49de-bfe5-7bdb4a497b09%2F80o7nlt_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Assume that is a
constant.
Choose the
differential
equation (DE) that
is a mathematical
model of the
following
situation:
The acceleration
dv/dt of a sports
car is proportional
to the difference
between 235km/h and
the velocity of the
car.
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