Newton's method Quiz
10 questions · easy to harder · Calculus 1 · score and step-by-step answers
How it works
- 10 questions, about 30 minutes (a timer counts down; you can hide it). Solve it right here: no sign-up.
- 5 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
Use Newton's method on x2 − 2 = 0 starting at x = 1- A) root ≈ 14.1667
- B) root ≈ −1
- C) root ≈ 1.41667
- D) root ≈ 2
2 Question 2
Use Newton's method on x2 − 7 = 0 starting at x = 3Type the answer.
3 Question 3
Estimate √5 with Newton's method from x = 2- A) 2.25
- B) 2.23611
- C) 22.3611
- D) 4
4 Question 4
Estimate √10 with Newton's method from x = 3Type the answer.
5 Question 5
Use Newton's method on x3 − 5 = 0 starting at x = 2- A) root ≈ 17.1088
- B) root ≈ 1.71088
- C) root ≈ 12
- D) root ≈ 3
6 Question 6
Solve Newton's method for x2 + x − 3 = 0 from x = 1Type the answer.
7 Question 7
Solve Newton's method for x3 + 2x − 4 = 0 from x = 1- A) root ≈ 11.7975
- B) root ≈ 1.17975
- C) root ≈ −1
- D) root ≈ 5
8 Question 8
Solve Newton's method for x3 − 2x − 5 = 0 from x = 2Type the answer.
9 Question 9
Solve Newton's method for x3 − 4x + 1 = 0 from x = 2- A) root ≈ 8
- B) root ≈ 1.86098
- C) root ≈ 18.6098
- D) root ≈ 1
10 Question 10
Estimate √3 with Newton's method from x = 2, 3 stepsType the answer.