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Quadratic Functions in Architecture

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by

Shreya Gupta

on 7 October 2013

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Transcript of Quadratic Functions in Architecture

Notes
Ideas
Ideas
Ideas
Quadratic Functions
in Architecture

Question:
The arch of the Sydney Harbour Bridge in Sydney, Australia, can be modeled by y = 0.00211x² + 1.06x where 'x' is the distance (in metres) from the left pylons and 'y' is the height (in metres) of the arch above the water. For what distance 'x' is the arch above the road?
Step 1: Find Given
QF:
y = -0.00211x² + 1.06x
'x' => distance (m)
'y' => height (m)

FIND:
maximum 'x' distance for arch
Step 2: Find Solutions
Maximum 'x' distance
Solutions: (0 , 0) and (502.37 , 0)
Conclusion
The arch is above the road for approx. 502.37m

x
y
(0,0)
(502.37,0)
y
x
Full transcript