6.2 Optimization Notes Part 4 & Practice

6.2 Optimization Notes - Day 4

& Practice Problems

Directions: Please to go the notes section in OneNote and find the 6.2 Part 2 Guided Notes. Watch the video and then complete the practice problems and submit your answers.

Fill in the Blanks

For Question #2...

What is the primary equation you will need to use to solve the problem before substituting in the secondary equation.

Multiple Select

For Question #2...

Select ALL of the dimensions of the rectangle that maximize the area.

• $2\sqrt{3}$

• $\sqrt{3}$

• $3$

• $6$

• $12$

Multiple Choice

For Question #3...TRUE OR FALSE?

The primary equation after substituting in the secondary equation is...

 $A=x\sqrt{25-x^2}$  

• TRUE

• FALSE

Multiple Select

For Question #3...

Select ALL of the dimensions of the rectangle that maximize the area.

•  $5\sqrt{2}$ 

•  $\frac{5}{2}$ 

•  $10$ 

•  $10\sqrt{2}$ 

•  $\frac{5\sqrt{2}}{2}$ 

Poll

In regards to Optimization problems, which part(s) do you find most challenging?

(You may select more than one answer)

• Writing Primary Equations

• Writing Secondary Equations

• Finding the Derivative of the Primary Equation

• Solving for the x-value

• Sketching Pictures

Open Ended

Describe the process of solving Optimization questions in your own words. (Think about how you would explain the process to someone who has never solved Optimization problems using Calculus before)