Math 118 - Intro to Quantitative Analysis II
Study Guide - Quiz #4
     
  1. Find the critical values for a given function -- i.e. the "x" value for places where the first derivative is equal to zero. Problems like the RUReady problems under the section: Critical Values

  2.  
  3. Use the Second-Derivative Test to find relative minimum and maximum -- On-line Problems under the category "Second Derv Test" (Note: the On-line Problems have a Sample Problem worked out in detail.)

  4.  
  5. Find points of inflection -- problems like the On-line Problems under the category "Points of Inflection" (Note: Check out the sample problem.)

  6.  
  7. Define the concept of Point of Diminishing Return (Definition found in lecture notes # 14 (http://mathserv.monmouth.edu/coursenotes/math118/Math118Notes.htm)) and find the points of diminishing return -- that is, of the points of inflection found in the problems under # 3 above, identify which are points of diminishing return.  Problems like p. 763-4 # 33, 39

  8.  
  9. Find the absolute Min and Max for a function in some interval -- problems like those in the "On-line Practice Problems" under the category "AbsoluteMin/Max".

  10.  
  11. One word problem will be on the quiz, involving maximizing revenue or profit, or minimizing cost:  like the word problems found in the On-Line RUReady Practice Problems under the headings "Applications IV (M#9)"; and in the text, problems 54, 55, p. 749, and  3, 8, 11 p. 786.

  12.  
  13. Evaluate indefinite integrals such as 12.1 # 5 - 26, or RUReady problems under Antiderivative

  14.