Angry Mike is on the run. He finally couldn't outsmart his brother sheriff Tommy Boy Hopkins any longer and there is a warrant out for his arrest. In his desperation Angry Mike has hijacked a dirt bike and is making a run for the state line. A friend is waiting for him 250 miles east and 100 miles north with a car. Unfortunately, a range of hills stretches all the way to the north and east from Angry Mike's starting position. He knows that he can go 70 mph as long as he stays out of the hills, but that he can go no aster than 40 mph in the hills.
Angry Mike is on the run. He finally couldn't outsmart his brother sheriff Tommy Boy Hopkins any longer and there is a warrant out for his arrest. In his desperation Angry Mike has hijacked a dirt bike and is making a run for the state line. A friend is waiting for him 250 miles east and 100 miles north with a car. Unfortunately, a range of hills stretches all the way to the north and east from Angry Mike's starting position. He knows that he can go 70 mph as long as he stays out of the hills, but that he can go no aster than 40 mph in the hills.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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question in the picture

Transcribed Image Text:LO Page view
A Read aloud
1. Angry Mike is on the run. He finally couldn't outsmart
his brother sheriff Tommy Boy Hopkins any longer and
there is a warrant out for his arrest. In his desperation
Angry Mike has hijacked a dirt bike and is making a run
for the state line. A friend is waiting for him 250 miles east
and 100 miles north with a car. Unfortunately, a range of
hills stretches all the way to the north and east from Angry
Mike's starting position. He knows that he can go 70 mph
as long as he stays out of the hills, but that he can go no
aster than 40 mph in the hills.
Hilly area
Friend
Angry Mike
250 miles
(a) Draw three different possible routes (straight lines, or line segments) Angry Mike can take. One
of them should maximize the part of the trip outside the hills, one of them should maximize
the part of the trip in the hills.
(b) Compute the total driving time for those three routes.
(c) There are many more possible routes Mike could take. Out of all of them, which one should
Angry
MUST use the calculus-based optimization techniques from this section.
Mike take to get to his waiting friend as fast as possible? To find your solution, you
100 miles
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