Let f(v) be the gas consumption in liters/km of a car traveling at velocity v km/hr. In addition, you know that f(60) = 0.05 and f'(60) = 0.0005 (a) Let g(v) be the distance in km that the car goes on one liter of gas at velocity v. What is the relationship between g(v) and f(v)? g(v) = f(v) O g(v) = (v) Og(v) = v.f(v) f(v) V g(v) = O g(v) = Find g'(60). V f(v) (b) Let h(v) be the liters of gas the car uses in one hour at velocity v. What is the relationship between h(v) and f(v)? Oh(v) = f(v) ○ h(v) = f(v) Oh(v) = Oh(v) = v.f(v) Oh(v) = 1 f(v) V V f(v) Find h'(60).
Let f(v) be the gas consumption in liters/km of a car traveling at velocity v km/hr. In addition, you know that f(60) = 0.05 and f'(60) = 0.0005 (a) Let g(v) be the distance in km that the car goes on one liter of gas at velocity v. What is the relationship between g(v) and f(v)? g(v) = f(v) O g(v) = (v) Og(v) = v.f(v) f(v) V g(v) = O g(v) = Find g'(60). V f(v) (b) Let h(v) be the liters of gas the car uses in one hour at velocity v. What is the relationship between h(v) and f(v)? Oh(v) = f(v) ○ h(v) = f(v) Oh(v) = Oh(v) = v.f(v) Oh(v) = 1 f(v) V V f(v) Find h'(60).
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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![Let f(v) be the gas consumption in liters/km of a car traveling at velocity v km/hr. In addition, you know that f(60) = 0.05 and f'(60) = 0.0005.
(a) Let g(v) be the distance in km that the car goes on one liter of gas at velocity v.
What is the relationship between g(v) and f(v)?
O g(v) = f(v)
O g(v) =
O g(v) = v.f(v)
O g(v) = f(v)
V
O g(v)
=
1
f(v)
Find g'(60).
O h(v) =
(b) Let h(v) be the liters of gas the car uses in one hour at velocity v.
What is the relationship between h(v) and f(v)?
Oh(v) = f(v)
O h(v)
V
f(v)
=
O h(v) = v.f(v)
Oh(v) = f(v)
V
1
f(v)
V
f(v)
Find h'(60).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8aaff295-69fa-4001-b611-dba82bc0a1d6%2Fcd861ae1-17a2-43f2-9062-4996e50f3280%2F8fkp16_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let f(v) be the gas consumption in liters/km of a car traveling at velocity v km/hr. In addition, you know that f(60) = 0.05 and f'(60) = 0.0005.
(a) Let g(v) be the distance in km that the car goes on one liter of gas at velocity v.
What is the relationship between g(v) and f(v)?
O g(v) = f(v)
O g(v) =
O g(v) = v.f(v)
O g(v) = f(v)
V
O g(v)
=
1
f(v)
Find g'(60).
O h(v) =
(b) Let h(v) be the liters of gas the car uses in one hour at velocity v.
What is the relationship between h(v) and f(v)?
Oh(v) = f(v)
O h(v)
V
f(v)
=
O h(v) = v.f(v)
Oh(v) = f(v)
V
1
f(v)
V
f(v)
Find h'(60).
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