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Question: problem 5 i am running on the inclined plane z...

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Problem 5 I am running on the inclined plane z 2x+3y with my (x,y) position given as x-3t and y 2t for 12 0. Find my z coordinate as a function of time t and compute . How does this compare with the slope of the plane in the direction of my motion? If it is not the same explain the difference. dt Problem 6 Consider the plane P given by za(1 -a)y where 0 a < 1. Compute the value for the maximum slope on P. Find the value(s) of a which minimize this maximum slope. Find the value(s) of a which maximize this maximum slope.

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