MATH 157 Lecture Notes - Solution Process, Economic Equilibrium, Carbon-14

• School: Simon Fraser University
• Department: Mathematics
• Course: MATH 157
• Professor: Stephen Choi

Document Summary

Instructor questions accompanying paper assignment # 7 solution. Directions: print double sided, write your solutions to both questions directly on this page, place immediately after cover page and staple together! Marks: an answer without a detailed solution process will be awarded zero marks! Solution: p(0) = 18 3e 2 0 6e 0/3. = 6e 2t + 2e t/3. p(cid:48)(0) = 6e 2 0 + 2e 0/3 = 6 + 2 = 8: find the equilibrium price of the commodity? (hint: it is given by lim t p. ) Solution: since lim t e at = 0 for any a > 0, so t p(t) = 18 3 0 6 0 = 18. lim. Q2: wood deposits recovered from an archaeological site contain 20% of the carbon 14 they originally contained. How long ago did the tree from which the wood was obtained die? (recall that the half life of carbon 14 is 5770 years. )