25. A commuter train carries 2000 passengers daily. The cost to ride the train is $7 per person. Market research shows that 40 fewer passengers would ride the train for each $0.10 increase in fare and 40 more people would ride the train for each $0.10 decease to fare. The capacity of the train is 2600 passengers and if the train carries less than 1600 passengers, then it means the cost to run the train will be greater than the revenue. What fare should the railway charge to get the largest possible revenue? 26. The speed of a plane is 420 km/hr and its heading is 140°. A wind of 40km/hr is blowing on a bearing of 040°. Determine the plane's resultant velocity relative to the ground. Include a diagram. 23. Using first principles, determine the derivative of f(x) = 1 √4x+7 24. Determine the corresponding Cartesian equation. L1: 7 = [4,−3, 5] + t[2,0,3], t € R and L2: ŕ = [4,−3, 5] + s[5, 1, −1], s Є R
25. A commuter train carries 2000 passengers daily. The cost to ride the train is $7 per person. Market research shows that 40 fewer passengers would ride the train for each $0.10 increase in fare and 40 more people would ride the train for each $0.10 decease to fare. The capacity of the train is 2600 passengers and if the train carries less than 1600 passengers, then it means the cost to run the train will be greater than the revenue. What fare should the railway charge to get the largest possible revenue? 26. The speed of a plane is 420 km/hr and its heading is 140°. A wind of 40km/hr is blowing on a bearing of 040°. Determine the plane's resultant velocity relative to the ground. Include a diagram. 23. Using first principles, determine the derivative of f(x) = 1 √4x+7 24. Determine the corresponding Cartesian equation. L1: 7 = [4,−3, 5] + t[2,0,3], t € R and L2: ŕ = [4,−3, 5] + s[5, 1, −1], s Є R
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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Transcribed Image Text:25. A commuter train carries 2000 passengers daily. The cost to ride the train is $7 per person. Market
research shows that 40 fewer passengers would ride the train for each $0.10 increase in fare and 40 more
people would ride the train for each $0.10 decease to fare. The capacity of the train is 2600 passengers
and if the train carries less than 1600 passengers, then it means the cost to run the train will be greater
than the revenue. What fare should the railway charge to get the largest possible revenue?
26. The speed of a plane is 420 km/hr and its heading is 140°. A wind of 40km/hr is blowing on a bearing of
040°. Determine the plane's resultant velocity relative to the ground. Include a diagram.
![23. Using first principles, determine the derivative of f(x)
=
1
√4x+7
24. Determine the corresponding Cartesian equation.
L1: 7 = [4,−3, 5] + t[2,0,3], t € R and L2: ŕ = [4,−3, 5] + s[5, 1, −1], s Є R](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F633dc666-1c4e-4222-82a0-1d910c7662c5%2F78e4ae8f-ad56-4b0e-a55d-30d2130ff6f0%2Fjdwwnof_processed.png&w=3840&q=75)
Transcribed Image Text:23. Using first principles, determine the derivative of f(x)
=
1
√4x+7
24. Determine the corresponding Cartesian equation.
L1: 7 = [4,−3, 5] + t[2,0,3], t € R and L2: ŕ = [4,−3, 5] + s[5, 1, −1], s Є R
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