Suppose that T .x; y; z/ D x3y Cy3z Cz3x gives the temperatu
Question and Solution
Suppose that T .x; y; z/ D x3y Cy3z Cz3x gives the temperature at the point .x; y; z/ in 3-space. (a) Calculate the dire
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Suppose that T .x; y; z/ D x3y Cy3z Cz3x gives the temperature at the point .x; y; z/ in 3-space. (a) Calculate the directional derivative of T at .2; ?1; 0/ in the direction toward the point .1; 1; 2/. (b) A fly is moving through space with constant speed 5. At time t D 0 the fly crosses the surface 2x2 C 3y2 C z2 D 11 at right angles at the point .2; ?1; 0/, moving in the direction of increasing temperature. Find d T =dt at t D 0 as experienced by the fly
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