Optimization: Find The Minimum Distance Between Two Graphs

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This video shows how to find the minimum distance between two parabolas.
  1. Steve Crow
  2. optimization
  3. calculus
  4. minimum
  5. minimize
  6. distance
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Комментарии
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My calculus students that I tutor struggled with this exact problem type on their exam, and I had to review this myself before going over it with them. You did a fantastic job explaining this concept. Thank you Mr. Crow, your video is much appreciate!

sprkyr
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I understand this pretty well but what about when you have to find the minimum horizontal distance between 2 graphs? Is it much different??

graceMaximus
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is there a way to find the minimum distance, that doesn't have to be vertical?

johnjordan
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When taking the square root why can you just remove the square? What about the case where 2x^2 - x + 1 is negative?

lincolnphay
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YOU ASSUMED THAT THE DISTANCE IS VERTICAL LINE BETWEEN THESE 2 GRAPHS, WHAT I WANT IS THE GENERAL MINIMUM DISTANCE BETWEEN 2 GRAPHS " Note that the two graphs are so cool to work on, some functions will be hard to solve ".

khaledkassem