The temperature T in degrees Celsius at (x, y, z) is given by T = 10/(x2 + y2 + z2). where distances are in meters. A bee is flying away from the hot spot at the origin on a spiral path so that its position vector at time t seconds is r(t) = t cos (ti + t sin (tj + t k. Determine the rate of change of Tin each case.
(a) With respect to distance traveled at t = 1.
(b) With respect to time at t = 1. (Think of two ways to do this.)