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

Implicit Differentiation