Quiz 8 Math 142 Fall 2011
Help is legal.
3x


f (x)   4  x
  2 x  16
1.

x 2
2 x 4
4 x
6
Evaluate
 f ( x ) dx
2
Show your work. Graph f(x) and use geometry.
Print Name___________________________
Section_________________________
2.
a) Find
L 6 and R 6 and
L6  R 6
for f ( x )  4  x on the interval [1, 4 ]. b
2
2
Sketch the rectangles for each of the left and right hand sums.
lim L n  lim R n   4  x dx
n 
n 
4
b) Find
2
1
.
3
3. Evaluate by hand and showing all work
x
x  16 dx
2
.
0
4. A marginal cost function is given by
first 100 units is $3500.
a) Find the cost function.
C ' ( x )   0 . 02 x  15 . The total cost of producing the
b) Find the average value of the total cost over the interval [0, 100].
c) Find the average cost per unit for the first 100 units.