The concentration (in micrograms/m3) of a pollutant atthe point (x, y, z) is given, for

Chapter 17, Problem 70

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The concentration (in micrograms/m3) of a pollutant atthe point (x, y, z) is given, for x, y, z in meters, byc(x, y, z) = e(x2+y2+z2).(a) A particle at point (0, 1, 0) moves in the direction ofthe point (2, 2, 2). What is the rate at which theconcentration is changing with respect to distance atthe moment the particle leaves the point (0, 1, 0)?(b) Now suppose the particle is moving along the path,with time, t, in seconds, given byx = 1t2, y = t, z = 1t2 for

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