Estimating ChangeChanging temperature along a space curve
Chapter 14, Problem 24E(choose chapter or problem)
Problem 24E
Estimating Change
Changing temperature along a space curve The Celsius temperature in a region in space is given by A particle is moving in this region and its position at time t is given by 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 the point P(8, 6, -4)?
b. How fast is the temperature experienced by the particle changing in degrees Celsius per second at P?
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