This week we took an Optimization quiz. The day before the quiz when we prepared by doing practice problems, and I really liked it. However, that was when I began to fully grasp the concepts, so on the quiz I don't think I did great.
We also started learning about Related Rates, which is hands down the hardest thing we have done so far. It combines all the things I dislike about optimization, then makes the significantly more difficult. Luckily, we learned some steps to follow when solving:
Step 1: Understand and Analyze:
Step 2: Make a model
Step 3: Write an equation relating variables
Step 4: Implicitly Differentiate both sides in respect to time
Step 5: Substitute in Known Values
Step 6: Put answer in context
We also started learning about Related Rates, which is hands down the hardest thing we have done so far. It combines all the things I dislike about optimization, then makes the significantly more difficult. Luckily, we learned some steps to follow when solving:
Step 1: Understand and Analyze:
- What is going on?
- What variables are there?
- Which variables have rates of change that I know?
- Which variables do I really want to know?
Step 2: Make a model
- Draw a picture
- Label the parts
- Identify and label constants
Step 3: Write an equation relating variables
Step 4: Implicitly Differentiate both sides in respect to time
Step 5: Substitute in Known Values
- Found in step 1
Step 6: Put answer in context
- Label
- Ask if it makes sense?