Mr Hickman's Class 2022-2023
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Monday 2-14-22 
  • ​​​Start Optimization Problems 
    • Determine the constraints 
    • Determine the objective function
    • Use the EVT (Extreme Value Theorem and First Derivative to find values and dimensions that optimize the objective function)
      • EVT theorem basically states that IF a function has a minimum or maximum, then that maximum will occur at the extremes of the interval of domain or at the zeros of the first derivative or not at all
    • Examples 
      • Open top box volume from surface area
      • Maximum and Minimums sums from products of positive numbers
      • Maximum and Minimums products from sums of positive numbers
Tuesday 2-15--22 
  • ​​Related Rates Quiz​
Wednesday 2-16-22 
  • ​​Continue Optimization Problems
    • ​Examples 
      • ​Combined Perimeter and Area Problems 
      • How far should I walk versus row a boat? Problem
  • ​​Focus should be on justification and setup of the models that will be used to optimize the objective functions
    • ​Setup the model is more important than the level that it is simplified 
    • Demonstrating that you understand the CALCULUS that is involved in the optimization process more than the algebra of taking the first derivative 
Thursday 2-17-22 
  • ​​You will have a Desmos Teacher Assignment
Friday 2-18-22
  •  To be determined ​
PRACTICE
2-14-22
  • PON Assignment Problems 
    • These answers are NOT posted 
  • PON Practice Problems 
    • These answers are posted on PON website
​2-15-22
  • Continue working on PON Assignment Problems and Practice Problems 
2-16-22
  • Calculus Worksheet on Optimization
    • Approximate answers listed on posted assignment​​
2-17-22
  • You will have a Desmos Teacher Assignment
2-18-22
  • To be determined
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Implicit Differentiation
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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