Figure 5-59 shows a map of the downtown area of the picturesque hamlet of Kingsburg. You have been hired by the Kingsburg Chamber of Commerce to organize the annual downtown parade. Part of your job is to plan the route for the parade. An optimal parade route is one that keeps the bridge crossings to a minimum and yet crosses each of the seven bridges in the downtown area at least once. a. Find an optimal parade route if the parade is supposed to start in North Kingsburg but can end anywhere. b. Find an optimal parade route if the parade is supposed to start in North Kingsburg and end in South Kingsburg. c. Find an optimal parade route if the parade is supposed to start in North Kingsburg and end on island B . d. Find an optimal parade route if the parade is supposed to start in North Kingsburg and end on island A .
Figure 5-59 shows a map of the downtown area of the picturesque hamlet of Kingsburg. You have been hired by the Kingsburg Chamber of Commerce to organize the annual downtown parade. Part of your job is to plan the route for the parade. An optimal parade route is one that keeps the bridge crossings to a minimum and yet crosses each of the seven bridges in the downtown area at least once. a. Find an optimal parade route if the parade is supposed to start in North Kingsburg but can end anywhere. b. Find an optimal parade route if the parade is supposed to start in North Kingsburg and end in South Kingsburg. c. Find an optimal parade route if the parade is supposed to start in North Kingsburg and end on island B . d. Find an optimal parade route if the parade is supposed to start in North Kingsburg and end on island A .
Solution Summary: The author explains the semi-eulerization process of duplicating edges in a graph to make it have all but two even vertices.
Figure 5-59 shows a map of the downtown area of the picturesque hamlet of Kingsburg. You have been hired by the Kingsburg Chamber of Commerce to organize the annual downtown parade. Part of your job is to plan the route for the parade. An optimal parade route is one that keeps the bridge crossings to a minimum and yet crosses each of the seven bridges in the downtown area at least once.
a. Find an optimal parade route if the parade is supposed to start in North Kingsburg but can end anywhere.
b. Find an optimal parade route if the parade is supposed to start in North Kingsburg and end in South Kingsburg.
c. Find an optimal parade route if the parade is supposed to start in North Kingsburg and end on island B.
d. Find an optimal parade route if the parade is supposed to start in North Kingsburg and end on island A.
Find the exact values of sin(2u), cos(2u), and tan(2u) given
2
COS u
where д < u < π.
2
(1) Let R be a field of real numbers and X=R³, X is a vector space over R, let
M={(a,b,c)/ a,b,cE R,a+b=3-c}, show that whether M is a hyperplane of X
or not (not by definition).
متکاری
Xn-XKE
11Xn-
Xmit
(2) Show that every converge sequence in a normed space is Cauchy sequence but
the converse need not to be true.
EK
2x7
(3) Write the definition of continuous map between two normed spaces and write
with prove the equivalent statement to definition.
(4) Let be a subset of a normed space X over a field F, show that A is bounded set iff
for any sequence in A and any sequence in F converge to zero the
sequence converge to zero in F.
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Establish the identity.
1 + cos u
1 - cos u
1 - cos u
1 + cos u
= 4 cot u csc u
Chapter 5 Solutions
Excursions in Mathematics, Loose-Leaf Edition Plus MyLab Math with Pearson eText -- 18 Week Access Card Package
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