Math 152

Sample Exam 2 Solutions

  1. 2x

3.

    1. x = 1 is a minimum, x = -1 is a maximum
    2. Increasing when . Decreasing when
    3. Inflection point at x = 0
    4. Concave up for x>0, concave down for x<0
    5. Graph of function

 

 

4.

a. S'(x) is the change in the number of woody species for a small change in Phosphorus and Potassium concentration Index.

b. Derivative is positive and decreasing to 3/4. has value 0 at 3/4. Is negative and decreasing to about 1.5. Is negative and increasing after 1.5
  1. . The units are grams bacteria/time The biomass is always decreasing
  2. 5.1
  3. 50 trees per acre