The parabolic arch of a bridge over a one-way road can be described by the equation y = -x^2 + 6, where x and y ar emeasured in metres. A transpor truck is 3m wide and 3.5m high. What is the maximum clearance of the truck's top corners if it passes under the bridge?

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This is an Optimization problem.

so you want the max distance from the top corner of truck to arch ??

distance from top center of arch to top corner of truck is 2.915 m

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