Question
A political party orders an arch for the entrance to the ground in which the annual convention
is
being held. The profile of the arch follows the equation y = 2x - 0.1`x^2` = − where y is the height
of
the arch in meters. The maximum possible height of the arch is
Answer: Option B
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y = 2x - 0.1`x^2`
`(dy)/(dx)` = 2 - 0.2x
`(d^2y)/(dx^2)` < 0 `:.` maximises at 2 - 0.2x = 0
`Rightarrow` x = 10
`:.` y = 20 - 10 = 10m
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