Unformatted text preview: where .x: tz +1, y  + b)Evaluateffatu:2,v:1 for w:xlz+y2+z2where x: Lt*v, l: ttv, r: # 4)For the functionJ(x,,y) : (?.x  3y + 4z)3 at the point P(5,1,3) a) Determine the directional derivative in the direction V : i  k b) Determine a unit vector in the direction where the function changes most rapidly 5)Using Lagrange multipliers find the highest and lowest temperature on the surface of the sphere, x2 + y2 + z2 : I where the temperature distribution within the sphere is described by T  40,0xy22...
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 Spring '08
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 Math, Calculus, Topology, Usingthe linearapproximation whenx

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