Maximum, minimum and optimization Quiz
7 questions · easy to harder · Calculus · score and step-by-step answers
How it works
- 7 questions, about 21 minutes (a timer counts down; you can hide it). Solve it right here: no sign-up.
- 3 questions have choices. For the others you type the answer: a number like 4, −2, 7/2 or 3.5, or for example x = 4, x = 2 or x = −3, (3, 5), 2x + 1. Use ^ for powers (x^2) and sqrt for √. Any form with the same value counts (7/2 = 3.5).
- One question at a time: Back, Next, Mark for review and the question list at the bottom. A calculator is on the screen.
- At the end: your percent and grade, every question right or wrong, why a wrong choice is wrong, and its step-by-step solution. Then practise the lesson with new questions.
Your answers and results are kept in this browser only, so you can close the page and come back.
1 Question 1
Turning points of f(x) = x3- A) Yes
- B) No
2 Question 2
A rectangle has a perimeter of 40 m. Find the largest area.Type the answer.
3 Question 3
A rectangle has a perimeter of 24 cm. Find the largest area.- A) 6 cm²
- B) 36 cm²
- C) 0 cm²
- D) 12 cm²
4 Question 4
A farmer has 60 m of fence to make a rectangle next to a wall. Find the largest area.Type the answer.
5 Question 5
A farmer has 80 m of fence to make a rectangle next to a river. Find the largest area.Type the answer.
6 Question 6
Two numbers add up to 20. Find the largest product.Type the answer.
7 Question 7
Two numbers add up to 14. Find the largest product.- A) 0
- B) 14
- C) 7
- D) 49