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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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This note was uploaded on 03/30/2012 for the course MATH 211 taught by Professor But during the Spring '08 term at NJIT.
- Spring '08