Assume that the population size of honey bees in billions at year t is hy, and the population size of wild bees in billions at year t is uy. They follow the following recursive relationship:ht +1 = 2he - 4, ut +1 = 0.5ut + 1 EQUATIONS ARE IN IMAGECurrently, there are 5 billion honey bees (ho = 5) and 10 billion wild bees (wo = 10).Find an explicit formula for the population of honey bees.Find an explicit formula for the population of wild bees.What will be the population of wild bees in a long run (as t → ∞).If each honey bee can pollinate 1000 plants annually and wild bees pollinate 2000 plantseach year, how many plants will be pollinated in billions in the current year (f = 0), and after 2years (t = 2)? Compare the results and assess whether the pollination rate is likely to decrease inthe near future or not. billions at year t is w. They follow the fhe+s 2he-4.+1 0.5y +1

3.) The population of wild bees in the long run:As t→∞, 0.5t→0.So, the population of wild bees in…

Answered: billions at year t is w. They follow…

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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Assume that the population size of honey bees in billions at year t is hy, and the population size of wild bees in billions at year t is uy. They follow the following recursive relationship:

ht +1 = 2he - 4, ut +1 = 0.5ut + 1 EQUATIONS ARE IN IMAGE

Currently, there are 5 billion honey bees (ho = 5) and 10 billion wild bees (wo = 10).

Find an explicit formula for the population of honey bees.
Find an explicit formula for the population of wild bees.
What will be the population of wild bees in a long run (as t → ∞).
If each honey bee can pollinate 1000 plants annually and wild bees pollinate 2000 plants
each year, how many plants will be pollinated in billions in the current year (f = 0), and after 2
years (t = 2)? Compare the results and assess whether the pollination rate is likely to decrease in
the near future or not.