A railroad's track can be determined using the following graph. Part A: A highway's path can be found using the equation 2x + 3y = 21. Use the graphs of the functions to determine the number of intersections there will be between the railroad and the highway, and explain completely. Part B: A turnpike's route is determined by the equation y=(1)/(3)x^(2) Prove algebraically how many intersections there will be between the railroad and the turnpike, showing all necessary work.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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A railroad's track can be determined using the following graph.

Part A: A highway's path can be found using the equation 2x + 3y = 21. Use the graphs of the functions to determine the number of intersections there will be between the railroad and the highway, and explain completely.

Part B: A turnpike's route is determined by the equation y=(1)/(3)x^(2) Prove algebraically how many intersections there will be between the railroad and the turnpike, showing all necessary work.

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Transcribed Image Text:-10-9-8-7 -6 -5 10 9 8 7 6 5 4 st 3 2 1 -4 -3 -2 -1 0 -1 -2 -3 ܀ -5 -6 -7 -8 -9 -10- 1 2 3 4 5 6 7 8 9 10 √x
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