Maximum, minimum and optimization Quiz

Name: ______________________   Date: __________   Score: ____ / 7

7 questions. Calculator allowed. Show your working. steplyclass.com/calculus/maximum-minimum-and-optimization/quiz/

1. 1

   Turning points of f(x) = x³
   1. A) Yes
   2. B) No

2. 2

   A rectangle has a perimeter of 40 m. Find the largest area.

   Answer: ____________________

3. 3

   A rectangle has a perimeter of 24 cm. Find the largest area.
   1. A) 6 cm²
   2. B) 36 cm²
   3. C) 0 cm²
   4. D) 12 cm²

4. 4

   A farmer has 60 m of fence to make a rectangle next to a wall. Find the largest area.

   Answer: ____________________

5. 5

   A farmer has 80 m of fence to make a rectangle next to a river. Find the largest area.

   Answer: ____________________

6. 6

   Two numbers add up to 20. Find the largest product.

   Answer: ____________________

7. 7

   Two numbers add up to 14. Find the largest product.
   1. A) 0
   2. B) 14
   3. C) 7
   4. D) 49