__Mar 26 (day 2), Mar 27 (day 3)__**Learning Goal**: Solve Optimization Problems, Investigate how changing the dimensions of a plane figure or solid varies its area or volume and determine the maximum and minimum quantities in a situation involving basic geometry

**Text reference**: 3.6

**Couseware resource**:

https://courseware.cemc.uwaterloo.ca/11/23/assignments/97/0**Work to complete**Quick Review - Absolute Max & Min. Do some of #1a-d in the Exercises section at the above link. (You can also look at your notes on section 3.2)

Watch Lesson Part 1 and do Exercises #3-5.

Look at the GeoGebra file, Maximizing Area of Rectangle.

https://www.geogebra.org/m/rybwnqhh Notice how the endpoints of the interval relate to physically possible dimensions. The endpoints are not necessarily ‘rectangles’ in the normal sense but they are the endpoints of the interval over which we find the absolute maximum (or minimum). This idea is important for choosing intervals to solve problems.

Do questions 3.6 #4-5 in the text.

Watch Lesson Part 2 and Part 3 and do Exercises #5-7

Do questions 3.6 #8-9 in the text

(If you are ready look at Part 4 of the video and do Exercises 3.6 #7 in the text and #8,10,11 in the Courseware.)

This is a lot of work. do as many of the problems as you can. Solutions will be posted later in the week.

If you cannot solve all of the problems on the first try, realize that this is demanding material and takes some work to understand. We will continue with it next week.

**Assessment**: Next week there will be a problem for you to complete and hand in by the end of the day.