- #1
miglo
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Homework Statement
the Celsius temperature in a region in space is given by T(x,y,z)=2x^2-xyz. a particle is moving in this region and its position at time t is given by x=2t^2, y=3t, z=-t^2, where time is measured in seconds and distance in meters
a) how fast is the temperature experienced by the particle changing in degrees Celsius per meter when the particle is at P(8,6.-4)?
b) how fast is the temperature experienced by the particle changing in degress celsius per second at P?
Homework Equations
directional derivatives?
The Attempt at a Solution
ill admit i haven't actually attempted anything because I am not sure how to start
this problem comes from a practice exam under the section on tangent planes and differentials but i don't see how that would be helpful
to me it seems like more of a directional derivative problem but I am not really sure
can someone please show me how to start this problem?