track. b Show how Pip can complete the circuit by adding more than 270 cm of track. D:

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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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I just need part b to be done, thankyou!

Intermediate Problems
14 Slot Cars
Pip is building model car racing tracks using a large supply of the two
are snapped together, both types measure 20 cm x 20 cm. In the first
types of square plate shown. Ignoring the tabs and slots where plates
the second, the track is a quarter circle joining the middles of adjacent
type, the track is a straight line joining the middles of opposite sides. In
sides. Plates can be snapped together in any orientation, as long as the
track is continuous.
20 cm
20 cm
7
20 cm
Pip wants to complete the track shown below but, because there is lim-
ited space, additional plates can only be put in the 4 x 4 grid indicated
by dotted lines.
Transcribed Image Text:Intermediate Problems 14 Slot Cars Pip is building model car racing tracks using a large supply of the two are snapped together, both types measure 20 cm x 20 cm. In the first types of square plate shown. Ignoring the tabs and slots where plates the second, the track is a quarter circle joining the middles of adjacent type, the track is a straight line joining the middles of opposite sides. In sides. Plates can be snapped together in any orientation, as long as the track is continuous. 20 cm 20 cm 7 20 cm Pip wants to complete the track shown below but, because there is lim- ited space, additional plates can only be put in the 4 x 4 grid indicated by dotted lines.
8
Intermediate Problems
a Show how Pip can complete the circuit by adding less than 120 cm of
track.
b Show how Pip can complete the circuit by adding more than 270 cm
of track.
c Explain why, no matter how the circuit is completed, Pip must place
an even number of additional curved plates.
d Explain why, no matter how the circuit is completed, Pip must place
an odd number of additional straight plates.
Transcribed Image Text:8 Intermediate Problems a Show how Pip can complete the circuit by adding less than 120 cm of track. b Show how Pip can complete the circuit by adding more than 270 cm of track. c Explain why, no matter how the circuit is completed, Pip must place an even number of additional curved plates. d Explain why, no matter how the circuit is completed, Pip must place an odd number of additional straight plates.
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