Suppose, in the previous exercise, that a particle located at the point P = (2, 2, 8)
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Suppose, in the previous exercise, that a particle located at the point P = (2, 2, 8) travels toward the xy-plane in the direction normal to the surface.
(a) Through which point Q on the xy-plane will the particle pass?
(b) Suppose the axes are calibrated in centimeters. Determine the path r(t) of the particle if it travels at a constant speed of 8 cm/s. How long will it take the particle to reach Q?
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