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Math · Calculus
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20. Find the path of a heat-seeking p in the temperature field TOx.y)-10o- 2x2-y? placed on the point (3, 4) on a hot metal plate. Find the minimum distance from the point 0,0 o to the planegiven by x+2y +z (a) Use the techniques from sectio the Second Partials Test to find this minimum distance. minimum distance. 22. Use the Method of Lagrange Multipliers to find the minimum temperature on the surface given by x y z if temperature given by T(x x y z. (Give exact answer.) 23. Use Lagrange multipliers to locate the maximum for the function z 3xy +x subject to the constraint 11x +15y 215.

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