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10 Nov 2019
The temperature at a point (x,y,z) is given by T(x, y, z) = 200e^-x^2 -(y^2)/4 -(z^2)/9, where T is measured in degrees Celsius and z. y. and z in meters There are lots of places to make silly errors in this problem: just try to keep track of what needs to be a unit vector. Find the rate of change of the temperature at the point (-1, -1. -2) in the direction toward the point (2. -3. -1). In which direction (unit vector) does the temperature increase the fastest at (-1. -1. -2)?What is the maximum rate of increase of T at(-1, -1, -2)?
The temperature at a point (x,y,z) is given by T(x, y, z) = 200e^-x^2 -(y^2)/4 -(z^2)/9, where T is measured in degrees Celsius and z. y. and z in meters There are lots of places to make silly errors in this problem: just try to keep track of what needs to be a unit vector. Find the rate of change of the temperature at the point (-1, -1. -2) in the direction toward the point (2. -3. -1). In which direction (unit vector) does the temperature increase the fastest at (-1. -1. -2)?What is the maximum rate of increase of T at(-1, -1, -2)?
Beverley SmithLv2
28 May 2019