Gradient of a distance function Let P01a, b, c2 be a fixed
Chapter 12, Problem 100(choose chapter or problem)
Gradient of a distance function Let P01a, b, c2 be a fixed point in _3 and let d1x, y, z2 be the distance between P0 and a variable point P1x, y, z2. a. Compute _d1x, y, z2. b. Show that _d1x, y, z2 points in the direction from P0 to P and has magnitude 1 for all 1x, y, z2. c. Describe the level surfaces of d and give the direction of _d1x, y, z2 relative to the level surfaces of d. d. Discuss lim PSP0 _d1x, y, z2.
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