Vector Calculus?

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T(x,yz)=25.67+1.63sin(0.01x^2yz)+3.11cos(0.02xy) degrees celcius

If a body starts at the point (5,5,5) and flies toward the origin (0,0,0). What's the rate of change of the temperature at the beginning of its flight?

2007-11-01 08:32:53 · 2 answers · asked by Nomad 1 in Science & Mathematics ➔ Mathematics

2 answers

gradient of T = < 1.63 cos( ) 0.02xy, ....

2007-11-05 04:42:23 · answer #1 · answered by Anonymous · 0⤊ 0⤋

This is a directional derivative. Find a unit vector v in the direction of travel. Find the gradient of T. Take the dot product of T and V. evaluate T dot V at the given point.

2007-11-01 15:51:37 · answer #2 · answered by Demiurge42 7 · 0⤊ 0⤋