Donald plays Monopoly and draws the "Go straight to jail" card. After an outburst of rage, Donald decides that he wants to go to prison as soon as possible, but discovers that there is a swamp between him and the prison. Donald is in point (2, 0) and the prison in (−2, 0) and the swamp is within the curve, |x| + |y| = 1.     all targets in Duck City Units. Donald moves with a speed 1 outside the swamp and constant speed v> 0 in the swamp. What can the speed v in the swamp be if:   ii) it is fastest to bypass the swamp (b = ± 1)?   iii) it is fastest to go straight through the swamp (b = 0)?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Donald plays Monopoly and draws the "Go straight to jail" card. After an outburst of rage, Donald decides that he wants to go to prison as soon as possible, but discovers that
there is a swamp between him and the prison. Donald is in point (2, 0) and
the prison in (−2, 0) and the swamp is within the curve, |x| + |y| = 1.
 
 
all targets in Duck City Units. Donald moves with a speed 1 outside the swamp and
constant speed v> 0 in the swamp.
What can the speed v in the swamp be if:
 
ii)
it is fastest to bypass the swamp (b = ± 1)?
 
iii) it is fastest to go straight through the swamp (b = 0)?
Swamp
Inn i sumpen
ut'av sumpen
Donald
Fengsel
Transcribed Image Text:Swamp Inn i sumpen ut'av sumpen Donald Fengsel
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