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Volume of Revolution around x=x0
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Expression 10: "y" equals "k" left brace, negative "k" Subscript, 1 , Baseline less than "x" less than "k" Subscript, 1 , Baseline , right brace
y
=
k
−
k
1
<
x
<
k
1
10
Expression 11: "x" equals "y" Subscript, "a" "x" "i" "s" , Baseline
x
=
y
a
x
i
s
equals
=
negative 1
−
1
11
Diagram of the Region to be rotated about y axis
Diagram of the Region to be rotated about y axis
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12
IMAGES BASIC
IMAGES BASIC
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22
FRONT VIEW AFTER ROTATION
FRONT VIEW AFTER ROTATION
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30
Slicing plane lines
Slicing plane lines
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33
IMAGES SLICING
IMAGES SLICING
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41
Draw the Annulus, radii and connecting lines.
Draw the Annulus, radii and connecting lines.
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43
Shade the Annulus
Shade the Annulus
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60
IMAGES ANNULUS
IMAGES ANNULUS
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74
77
powered by
powered by
"x"
x
"y"
y
"a" squared
a
2
"a" Superscript, "b" , Baseline
a
b
7
7
8
8
9
9
over
÷
functions
(
(
)
)
less than
<
greater than
>
4
4
5
5
6
6
times
×
| "a" |
|
a
|
,
,
less than or equal to
≤
greater than or equal to
≥
1
1
2
2
3
3
negative
−
A B C
StartRoot, , EndRoot
pi
π
0
0
.
.
equals
=
positive
+
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