Three partners are dividing a plot of land among themselves using the lone-divider method. After the divider D divides the land into three shares s 1 , s 2 , s 3 and, the choosers and C 1 and C 2 submit their bids for these shares. a. Suppose that the choosers’ bid lists are C 1 : { s 2 , s 3 } ; C 2 : { s 1 , s 3 } . Describe two different fair divisions of the land. b. Suppose that the choosers’ bid lists are C 1 : { s 2 , s 3 } ; C 2 : { s 1 , s 3 } . Describe three different fair divisions of the land.
Three partners are dividing a plot of land among themselves using the lone-divider method. After the divider D divides the land into three shares s 1 , s 2 , s 3 and, the choosers and C 1 and C 2 submit their bids for these shares. a. Suppose that the choosers’ bid lists are C 1 : { s 2 , s 3 } ; C 2 : { s 1 , s 3 } . Describe two different fair divisions of the land. b. Suppose that the choosers’ bid lists are C 1 : { s 2 , s 3 } ; C 2 : { s 1 , s 3 } . Describe three different fair divisions of the land.
Solution Summary: The author explains the two different fair divisions of the land. The lone-divider method divides a plot of land into three shares.
Three partners are dividing a plot of land among themselves using the lone-divider method. After the divider D divides the land into three shares
s
1
,
s
2
,
s
3
and, the choosers and
C
1
and
C
2
submit their bids for these shares.
a. Suppose that the choosers’ bid lists are
C
1
:
{
s
2
,
s
3
}
;
C
2
:
{
s
1
,
s
3
}
. Describe two different fair divisions of the land.
b. Suppose that the choosers’ bid lists are
C
1
:
{
s
2
,
s
3
}
;
C
2
:
{
s
1
,
s
3
}
. Describe three different fair divisions of the land.
Show that the Laplace equation in Cartesian coordinates:
J²u
J²u
+
= 0
მx2 Jy2
can be reduced to the following form in cylindrical polar coordinates:
湯(
ди
1 8²u
+
Or 7,2 მ)2
= 0.
Draw the following graph on the interval
πT
5π
< x <
x≤
2
2
y = 2 cos(3(x-77)) +3
6+
5
4-
3
2
1
/2 -π/3 -π/6
Clear All Draw:
/6 π/3 π/2 2/3 5/6 x 7/6 4/3 3/2 5/311/6 2 13/67/3 5
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Determine the moment about the origin O of the force F4i-3j+5k that acts at a Point A. Assume that the position vector of A is (a) r =2i+3j-4k, (b) r=-8i+6j-10k, (c) r=8i-6j+5k
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