Answered: 1. The graph shows the profile of the…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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6. If a player is standing 30m from the edge of the sideline, what is their vertical height on the grass? 7. At what horizontal distance is the soccer field at and it’s maximum height? What is the mathematical term used to describe the value? Please help me fast All questions r In order .

Transcribed Image Text:1. The graph shows the profile of the width of a soccer field, viewed from one end. Assume that the cross-section is parabolic. Write a quadratic relation that models the profile of the soccer field. Let h represent the height, in metres, above the sidelines, and d represent the horizontal distance, in metres, from the left sideline. Note: The graph does not go below y = 0. Profile of Soccer Field Width -0-5- 50m -0-25 right sideline 0.25m 20 30 40 50 Horizontal Distance (m) left sideline 2. When the soccer field is viewed lengthwise, the cross-section has the same parabolic shape and the same 0.25m rise in the middle of the field, but the goal lines are 100m apart. Make a rough sketch of this scenario and then write a quadratic relation that models this profile of the soccer field. 3. Convert your equation from question #1 and # 2 to standard form. 4. What are the zeros of the relation from your equation in question #1? What do they represent in context of this problem? 5. Are you able to write the equation in factored form using the original information from question #1? If so, write it in factored form. Height (m) 0 10

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