A hummingbird and a bee leave the same spot and start flying up and down in an eastward direction according to the equations: h(x) = x3 - 9x2 + 110, and b(x) = 30sinx + 50, where xi s how far east each has flown in metres and h and b are their respective heights above the ground in metres. When each has flown 20 metres east they stop following their functional paths and continue flying in the orientation they have at that point in their journeys. What’s the difference in their heights after each has flown 30 metres east from their initial position?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A hummingbird and a bee leave the same spot and start flying up and down in an eastward direction according to the equations: h(x) = x3 - 9x2 + 110, and b(x) = 30sinx + 50, where xi s how far east each has flown in metres and h and b are their respective heights above the ground in metres. When each has flown 20 metres east they stop following their functional paths and continue flying in the orientation they have at that point in their journeys. What’s the difference in their heights after each has flown 30 metres east from their initial position? 

 

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