Day 19 in
Mat122
Last time
: #17, section 6.2
Next time
: Section 6.3/6.4
Today
:
Return exam 1:
Exam 1
key
Curve: 10*x/7+10 (linear transformation)
You can get 20% of your lost points by meeting with me to go over your exam.
Hand in Section 6.2 homework
6.3 homework will be due Friday
Directed reading handout: Section 6.4
(html)
(pdf)
Section 6.3: Volumes of revolution
The definition:
More generally...
We may want to consider two functions simultaneously, to give a "hollow" volume of revolution:
We can rotate about an axis other than the
x
-axis (e.g. the
y
-axis!), or even
the line
x=-2
, or
the line
y=12
or
y=15
Examples:
#2, p. 325
#15, p. 325
#32, p. 326
#38, p. 326
#40, p. 326
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. Comments appreciated.