Math 250 Business Calculus
This is Paper Test # 3 [Go to web quiz 3]

(Extrema, Worded Problems)
Numerical answers are in our text, Hoffman 8th edition;
Methods will be discussed using other problems
Links to other web pages were not on original test;
CAUTION: Prof McFarland makes new tests each semester.

Mathematics 250 Test 3 Quiz (Perfect = 10) given Fall 2009
Credit given in proportion to the clarity of your WORK
You need not evaluate anything beyond a point where a calulator is necessary
Average grade on this test : 6.58
See future grade prospects?
__________________
  PRINT name above
grades
 
 
 
  paper test   web quiz
____________________
Total (max = 10)

[1] (a)(#19 Pg 213)(2 pts) Use the chain rule to find f '(x) if f(x) = (x2 - 5 )3
Review methods of differentiation ?
 
 
  (b)(3 pts) Find the 3 CVs (critical values) for f(x) in [1a] above. Then test the CVs by entering NUMBERS (not just +/- signs) in the 7 empty boxes of the table below. Finally (in bottom row) state the kind of CV (max, min, or ledge) for these two CVs. YOU MAY NOT USE THE GRAPHING CAPABILITY OF CALCULATORS HERE.
Note that
the table
at the
right is
a   1st
derivative
test
Review
these
ideas??
test value smallest
CV
test value middle
CV
test value largest
CV
test value
x -3   -1   +1   +3
f '(x)   0   0   0  
kind of CV
Relative Max
Relative Min
or Ledge
Max
Min
 Ledge
Max
Min
 Ledge
Max
Min
 Ledge
2 of the 3 CVs are not integers

[2]  
 
(#7 Pg 260) A Florida citrus grower estimates that if 6O orange trees are planted, the average yield per tree will be 4OO oranges. The average yield will decrease by 4 oranges PER TREE for each additional tree planted in his orchard. How many trees x should the grower plant to maximize total yield Y
  For the problem in the box above, complete the equations which express the relationship between x and Y (show work: one number given as a reality check). Enter numbers (not variables) in the 5 boxes below.
 
(3 points) Yield per tree =
 
x +
 
 
(2 points) Total yield Y(x) =
 
x2 +
 
x +
0
 
See a similar worded problem translated ?