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.
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.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text: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:20 cm
Pip is building model car racing tracks using a large supply of the two
types of square plate shown. Ignoring the tabs and slots where plates
are snapped together, both types measure 20 cm x 20 cm. In the first
type, the track is a straight line joining the middles of opposite sides. In
the second, the track is a quarter circle joining the middles of adjacent
sides. Plates can be snapped together in any orientation, as long as the
track is continuous.
II
20 cm
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.
2 (Rejected
(Rejec
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