Second Derivative and Optimization Review (CALC.DA.3)

• Concave up

• Concave down

• Neither concave up nor concave down

• Cannot be determined

• Local maximum

• Local minimum

• Neither

• Cannot be determined

Solve the optimization problem: Find the maximum area of a rectangle with a perimeter of 20 units.

• 20 square units

• 25 square units

• 30 square units

• 35 square units

Solve the optimization problem: A farmer wants to fence a rectangular field with a fixed perimeter of 100 meters. What dimensions will maximize the area?

• 20m by 30m

• 25m by 25m

• 40m by 10m

• 50m by 0m