Math 142 Quiz 9 Fall 2011
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2
1
g(x)  x
1. f ( x )  xe
Graph f(x) and g(x) in the window Xmin= -2 Xmax = 2 Ymin= -2 Ymax= 2
and sketch it here.
x
Find the area between the graphs of f and g. You must show all work. You may use
symmetry.
Check your answer with your calculator. Write the calculator answer here.
You may use your calculator for this problem.
2. Demand and supply equations in dollars per unit are given by
D ( x )  45  0 . 09 x 0 . 01 x  11
2
S ( x )  9  0 . 03 x 0 . 01 x  11
2
a) Find the equilibrium point.
b) Find the saving to the consumer on the 30th unit at the equilibrium price level.
Round to the nearest cent.
c) Find the consumers' surplus at equilibrium.
d) Find the producers' surplus at equilibrium.