Page 109 - The Ontario Curriculum, Grades 11 and 12: Mathematics, 2007
P. 109

 joules the bird gets if it spends t minutes in a patch is E = 3000t . Suppose the bird takes t+4
2 min on average to find each new patch, and
spends negligible energy doing so. How long should the bird spend in a patch to maximize its average rate of energy gain over the time spent flying to a patch and foraging in it? Use and compare numeric, graphical, and algebraic strategies to solve this problem.
  DERIVATIVES AND THEIR APPLICATIONS
107
Calculus and Vectors
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