In each of Problems 27 through 43 , solve the given initial value problem. Sketch the graph of its solution and describe its behaviour for increasing t . y ' ' + y ' + 1.25 y = 0 , y ( 0 ) = 3 , y ' ( 0 ) = 1
In each of Problems 27 through 43 , solve the given initial value problem. Sketch the graph of its solution and describe its behaviour for increasing t . y ' ' + y ' + 1.25 y = 0 , y ( 0 ) = 3 , y ' ( 0 ) = 1
In each of Problems
27
through
43
, solve the given initial value problem. Sketch the graph of its solution and describe its behaviour for increasing
t
.
y
'
'
+
y
'
+
1.25
y
=
0
,
y
(
0
)
=
3
,
y
'
(
0
)
=
1
i) Consider the set S = {−6, −3, 0, 3, 6}. Draw a graph G whose set of verti-
ces be S and such that for i, j ∈ S, ij ∈ E(G) if ij are related to a rule that t'u
you choose to apply to i and j.
(ii) A graph G of order 12 has as a set of vertices c1, c2, . . . , c12 for the do-
ce configurations of figure 1. A movement on said board corresponds to moving a
coin to an unoccupied square using the following two rules:
1. the gold coin can move only horizontally or diagonally,
2. the silver coin can move only vertically or diagonally.
Two vertices ci, cj, i̸ = j are adjacent if it is possible to move ci to cj in a single movement.
a) What vertices are adjacent to c1 in G?
b) Draw the subgraph induced by {c2, c6, c9, c11}
2. Find the exact value of 12 + 12+12+√√12+ √12+
12
he following contingency table details the sex and age distribution of the patients currently registered at a family physician's medical practice. If the doctor sees 17 patients per day, use the binomial formula and the information contained in the table to answer the question:
SEX
AGE
Under 20
20-39
40-59
60-79
80 or over
TOTAL
Male
5.6%
12.8%
18.4%
14.4%
3.6%
54.8%
Female
2.8%
9.6%
13.2%
10.4%
9.2%
45.2%
TOTAL
8.4%
22.4%
31.6%
24.8%
12.8%
100.0%
if the doctor sees 6 male patients in a day, what is the probability that at most half of them are aged under 39?
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