Homework for Chapter 6.1: Area between Curves
For the problems that involve a little bit of numeric computation,
feel free to use Excel or some other similar program.
Drill problems:
9 y=1/x, y=1/x^2, x=2
14 y=cos x, y=2cos x, x between 0 and 2pi
20 4x+y^2 = 12, x=y
22 y=sin(pi x/2), y=x
30 area of the triangle (0,5) (2,2) (5,1)
34 y=cube root of (16x^3), y=x, x=0; use the Midpoint rule with n=4.
Applied problems:
42 area of a pool: assume that each end of the pool has a
measurement of 0 meters wide.
Use the midpoint rule with n=4 (not n=8)
44 birth and death rates
Question A: Some solar power systems use a parabolic mirror to focus
sunlight on a tube that absorbs heat. An example picture is at
http://en.wikipedia.org/wiki/Parabolic_trough
Suppose that you point the mirror straight up and look at a crosssection
from the side, so you see a thick parabola.
The front (upper) surface
of the mirror is defined by the function
f(x) = 0.25 x^2 + 0.01
and the back (lower) surface is defined by
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 '08
 All
 Archimedes, Parabolic reflector, solar power systems, Midpoint Rule, maximum departure rate

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