The Celsius temperature in a region in space is given by T(x, y,z)=5x^2−2xyz. A particle is moving in this region and its position at time t is given by x=5t^2,y=2t, and z=−t^2, where time is measured in seconds and distance in meters. Required:
a. How fast is the temperature experienced by the particle changing in C/m when the particle is at the point P(8,6,-4)?
b. How fast is the temperature experienced by the particle changing in C/seconds at P?