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    • Algebra 2 Sem 1

Minimize Distance to a Fixed Point to a Square Root Function


Topics

  • Optimization of Distance 
Steps: 
  • Write the distance function related to the given point
  • Simplify the radicand related to the distance function
  • Take the first derivative of the distance function
  • Determine the root of the first derivative 
  • Test all critical points related to the feasible domain
    • roots of distance function's derivative
    • boundary values of the feasible region
  • Verify the minimum distance with technology
Links and Resources
  • FA Minimize Distance to a fixed point and a square root function with solutions 
  • Expanded Solutions closest to (6,0)
  • Expanded Solutions closest to (11,0)
  • Expanded Solutions closest to (12,0)


Expanded Solutions (12,0)

Expanded Solutions (11,0)

Expanded Solutions (6,0)

Mr Hickman is available for assistance after school practically anytime.  Talk to me to be certain that I am aware you are coming and 99% of the time I will be able to help you