MTH 124 Study Guide - Final Guide: Common Cold
Michigan State University, Math 124 Fall 2017 – Practice Exam 2
Name:
PID:
Section Number:
Please read the following instructions carefully.
1. Do not open this exam until instructed to do so.
2. Print your full name and PID on this page. Finish reading the remaining instructions, and sign the
bottom of the page.
3. Count the number of pages in this exam booklet. There should be 6 pages including this cover page.
If you have fewer than 6 pages, request another copy now.
4. Approved calculators are allowed during the exam. No other materials are allowed during the exam.
5. Unless otherwise indicated, show all of your work. Even for calculator solutions, you should include
relevant information such as the equation to be solved, the function whose graph is to be sketched,
etc...
I have read and fully understand the above instructions:
Signature:
FOR GRADERS ONLY:
Problem 1
Problem 2
Problem 3
Problem 4
Problem 5
TOTAL
1. In a small town with population 5000, the number of people sick with the common cold tmonths after
August 1st, 2009 is given by
C(t) = t3
3−6t2+ 27t+ 500
for 0 ≤t≤15.
(a) Using the derivative, find all critical points of C(t).
(b) Without graphing the function, determine whether each of your critical points above is a relative
maximum, a relative minimum, or neither. Show your work.
(c) Without graphing the function, determine when the maximum number of people are sick with the
common cold. What is the maximum number of sick people? Show your work.
(d) Without graphing the function, determine when the minimum number of people are sick with the
common cold. What is the minimum number of sick people? Show your work.
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MTH 124 Full Course Notes
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Document Summary
Michigan state university, math 124 fall 2017 practice exam 2. Please read the following instructions carefully: do not open this exam until instructed to do so, print your full name and pid on this page. Finish reading the remaining instructions, and sign the bottom of the page: count the number of pages in this exam booklet. There should be 6 pages including this cover page. If you have fewer than 6 pages, request another copy now: approved calculators are allowed during the exam. No other materials are allowed during the exam: unless otherwise indicated, show all of your work. Even for calculator solutions, you should include relevant information such as the equation to be solved, the function whose graph is to be sketched, etc I have read and fully understand the above instructions: Total: in a small town with population 5000, the number of people sick with the common cold t months after.
