Optimization

Question 1

Maximize or Minimize

• Read the problem
• Draw picture
• Write optimal equation
• Write a conditional equation
• Use conditional equation to write optimal equation as a function of one variable
• Differentiation the optimal equation
• Verify the maximum and minimum points
  
  • If f’’(c) > then _
  • If f’’(c) < then _
• Answer the question
• Put units

Answer 1

Minimum, maximum

Question 2

If the question asks for _ put answer in volume.

Answer 2

Volume

Question 3

Always draw the picture in the way you use the _ amount of fencing.

Answer 3

Least

Question 4

When there is a top and a bottom to a cylinder do _.

Answer 4

SA = 2pirh + 2pir^2