March 25th, 2017, 05:16 PM  #1 
Senior Member Joined: Jan 2017 From: Toronto Posts: 178 Thanks: 2  Shortest distance to the origin
Find all points on the surface xy  z^2 + 1 = 0 that are closest to the origin. Answer: (0, 0, 1) and (0, 0, 1) Any tips would be much appreciated. 
March 25th, 2017, 05:34 PM  #2  
Math Team Joined: May 2013 From: The Astral plane Posts: 1,797 Thanks: 715 Math Focus: Wibbly wobbly timeywimey stuff.  Quote:
First find the distance from a point (the origin) to some place on the curve. You'll have to solve your equation for z to do this. Then you minimize the distance expression. Dan  
March 25th, 2017, 05:48 PM  #3 
Global Moderator Joined: May 2007 Posts: 6,524 Thanks: 588  
March 25th, 2017, 06:56 PM  #4  
Math Team Joined: May 2013 From: The Astral plane Posts: 1,797 Thanks: 715 Math Focus: Wibbly wobbly timeywimey stuff.  Quote: dan  

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