A ramp in a skateboard park is modelled by a curve with equation f(x)= 10.67 -1.67x+0.0417x² where x is the horizontal distance in metres and f(x) is the height above the ground in metres. a Find the maximum depth of the run. b Find the x-intercepts and explain what these values represent.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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A ramp in a skateboard park is modelled
by a curve with equation
f(x) = 10.67
-1.67x+0.0417x²
where x is the horizontal distance in metres
and f(x) is the height above the ground in
metres.
a Find the maximum depth of the run.
b Find the x-intercepts and explain what
these values represent.
Transcribed Image Text:A ramp in a skateboard park is modelled by a curve with equation f(x) = 10.67 -1.67x+0.0417x² where x is the horizontal distance in metres and f(x) is the height above the ground in metres. a Find the maximum depth of the run. b Find the x-intercepts and explain what these values represent.
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