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18.01 Single Variable Calculus
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Fall
200
6
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18.01
Problem
Set
2B
Due
Friday
9/29/06,
1:55
pm
2B
is
the
second
half
of
Problem
Set
2,
all
of
which
is
due
along
with
the
first
half
2A.
Part
I
(10
points)
Lecture
9.
Tues.
Sept.
26.
Linear
and
quadratic
approximations.
Read:
Notes
A
Work:
2A2,
3,
7,
11,
12ade
Lecture
10.
Thurs.
Sept.
28.
Curvesketching.
Read:
4.1,
4.2
Work:
2B1,2:
a,e,h;
2B4,
6ab,
7ab
Lecture
11.
Fri.
Sept.
29.
Maximumminimum
problems.
Read:
4.3,
4.4
Work:
assigned
on
PS3
Part
II
(16
points
+
3
extra)
Directions:
Attempt
to
solve
each
part
of
each
problem
yourself.
If
you
collaborate,
solutions
must
be
written
up
independently.
It
is
illegal
to
consult
materials
from
previous
semesters.
With
each
problem
is
the
day
it
can
be
done.
0.
(not
until
due
date;
2
points)
Write
the
names
of
all
the
people
you
consulted
or
with
whom
you
collaborated
and
the
resources
you
used,
or
say
“none”
or
“no
consultation”.
(See
full
explanation
on
PS1).
1.
(10
points:
2
+
4
+
4;
and
3
extra)
Golf
balls
The
area
of
a
section
of
a
sphere
of
radius
R
between
two
parallel
planes
that
are
a
distance
h
apart
is
1
area
of
a
spherical
section
=
2
πhR
Slice
the
sphere
of
radius
R
by
a
horizontal
plane.
The
portion
of
the
plane
inside
the
sphere
is
a
disk
of
radius
r
≤
R
.
The
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 Spring '11
 Blake
 Math, Calculus, Golf ball, spherical cap

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