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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.

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.

Advanced Engineering Mathematics
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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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.
IS Intermediate Problems 7 14 Slot Cars 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. 20 cm 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 × 4 grid indicated by dotted lines. C
Transcribed Image Text:IS Intermediate Problems 7 14 Slot Cars 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. 20 cm 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 × 4 grid indicated by dotted lines. C
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