Question: Consider the mountain known as Mount Wolf, whose surface can be described by the parametrization r ( u , v ) =u, v , 75650.02

Consider the mountain known as Mount Wolf, whose surface can be described by the parametrization r(u,v) =u,v, 75650.02u20.03v2 > withu2+v210,000, where distance is measured in meters. The air pressureP(x,y,z) in the neighborhood of Mount Wolf is given by P(x,y,z) =41e(7x2+ 4y2+ 2z).

Then the compositionQ(u,v) = (Pr)(u,v) gives the pressure on the surface of the mountain in terms of theuandvCartesian coordinates.

What is the greatest rate of change of the functionQ(u,v) at the point(50, 25)?

(Round your answer to two decimal places.)

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