Marcel dives off of a springboard at the pool. His height, h, in metres, above the surface of the water can be modelled by the relation h(d) = -d² + 3d + 4 where d is the horizontal distance from the end of the board, in metres. a) Factor the relation. b) Determine the zeros of the relation. c) What is the height of the springboard? d) What is Marcel's horizontal distance from the board when he enters the water? Include a labelled diagram.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Thinking & Communicating: Draw a diagram and show your work
11. Marcel dives off of a springboard at the pool. His height, h, in metres, above the surface of
the water can be modelled by the relation h(d) = -d2 + 3d + 4 where d is the horizontal
distance from the end of the board, in metres.
a) Factor the relation.
b) Determine the zeros of the relation.
c) What is the height of the springboard?
d) What is Marcel's horizontal distance from the board when he enters the water? Include a
labelled diagram.
Transcribed Image Text:Thinking & Communicating: Draw a diagram and show your work 11. Marcel dives off of a springboard at the pool. His height, h, in metres, above the surface of the water can be modelled by the relation h(d) = -d2 + 3d + 4 where d is the horizontal distance from the end of the board, in metres. a) Factor the relation. b) Determine the zeros of the relation. c) What is the height of the springboard? d) What is Marcel's horizontal distance from the board when he enters the water? Include a labelled diagram.
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