For Exercises 9-10, plot the points on a rectangular coordinate system . A ( − 3 , − 4 ) B ( 5 3 , 7 4 ) C ( − 1.2 , 3.8 ) D ( π , − 5 ) E ( 0 , 4.5 ) F ( 5 , 0 )
For Exercises 9-10, plot the points on a rectangular coordinate system . A ( − 3 , − 4 ) B ( 5 3 , 7 4 ) C ( − 1.2 , 3.8 ) D ( π , − 5 ) E ( 0 , 4.5 ) F ( 5 , 0 )
Solution Summary: The author plots the points on the rectangular coordinate system: A(-3,-4), B (53,
For Exercises 9-10, plot the points on a rectangular coordinate system.
A
(
−
3
,
−
4
)
B
(
5
3
,
7
4
)
C
(
−
1.2
,
3.8
)
D
(
π
,
−
5
)
E
(
0
,
4.5
)
F
(
5
,
0
)
System that uses coordinates to uniquely determine the position of points. The most common coordinate system is the Cartesian system, where points are given by distance along a horizontal x-axis and vertical y-axis from the origin. A polar coordinate system locates a point by its direction relative to a reference direction and its distance from a given point. In three dimensions, it leads to cylindrical and spherical coordinates.
13) Let U = {j, k, l, m, n, o, p} be the universal set. Let V = {m, o,p), W = {l,o, k}, and X = {j,k). List the elements of
the following sets and the cardinal number of each set.
a) W° and n(W)
b) (VUW) and n((V U W)')
c) VUWUX and n(V U W UX)
d) vnWnX and n(V WnX)
9) Use the Venn Diagram given below to determine the number elements in each of the following sets.
a) n(A).
b) n(A° UBC).
U
B
oh
a
k
gy
ท
W
z r
e t
་
C
10) Find n(K) given that n(T) = 7,n(KT) = 5,n(KUT) = 13.
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