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GATE | GATE CS 2012 | Question 62

  • Last Updated : 28 Jun, 2021

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 – 0.1x2 where y is the height of the arch in meters. The maximum possible height of the arch is
(A) 8 meters
(B) 10 meters
(C) 12 meters
(D) 14 meters

Answer: (B)

Explanation: y = 2x – 0.1x2
dy/dx = 2 – 0.2x
So the value maximizes at 2 – 0.2x = 0
=> x = 10
=> y = 20 – 10 = 10 meters

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