MATH 274 Midterm: MATH274_BOYLE-M_SPRING2009_0101_MID_SOL_3

• School: University of Maryland
• Department: Mathematics
• Course: MATH 274
• Professor: All

Document Summary

For a solution we must have q27 + 200 = a + b. 27 + 200 = (a2 + b) + (2a) b. Now it is natural to equate 10 2 = (2a) b and try b = 2 and a = 5. This works: q27 + 200 = 5 + 2: (i) about when did leonardo of pisa (fibonacci) write his textbook liber abbaci? (ii) solve the following problem from that book. Answer (a) the rst edition appeared in 1202. (b) in 60 hours, the lion would eat 15 sheep, the leopard 12 and the bear 10. So in 60 hours, the three would eat 37 sheep. It would take (60/37) hours for the three to eat one sheep. [the underlying assumption in this type of problem, however unrealistic, is that the animals eat at a steady pace. : fibonacci gave a famous problem about reproducing rabbits.