MATH 112 Final: MATH112 Final Exam 2011 Winter Solutions

• School: UW
• Department: Mathematics
• Course: MATH 112
• Professor: All

Document Summary

1. (a) hint: compute the area under m r from 3 to 3. 5. Answer: 4. 825 thousand dollars (b) hint: compute the area under m c from 0 to 2. Answer: 12. 8 thousand dollars (c) hint: pro t at 2 is (the area under m r from 0 to 2) minus (the area under m c from. Answer: 4. 4 thousand dollars (d) hint: the derivative of pro t is positive when pro t is increasing and pro t increases when m r is greater than m c. Answer: from q 1. 1 to q 6. 3 (e) hint: use your ruler to see that m c(cid:48) increases on the interval from q = 4 to q = 5. 5. Draw the tangent line to m c at q = 5. 5 and compute its slope. 2. (a) hint: compute the area under a(t) from 0 to 5 and add the initial 25 gallons. Answer: 200 gallons (b) hint: a(cid:48)(8) a(cid:48)(5) = a(8) a(5)