Newton's method Quiz

Name: ______________________   Date: __________   Score: ____ / 10

10 questions. Calculator allowed. Show your working. steplyclass.com/calculus-1/newton-s-method/quiz/

1. 1

   Use Newton's method on x² − 2 = 0 starting at x = 1
   1. A) root ≈ 14.1667
   2. B) root ≈ −1
   3. C) root ≈ 1.41667
   4. D) root ≈ 2

2. 2

   Use Newton's method on x² − 7 = 0 starting at x = 3

   Answer: ____________________

3. 3

   Estimate √5 with Newton's method from x = 2
   1. A) 2.25
   2. B) 2.23611
   3. C) 22.3611
   4. D) 4

4. 4

   Estimate √10 with Newton's method from x = 3

   Answer: ____________________

5. 5

   Use Newton's method on x³ − 5 = 0 starting at x = 2
   1. A) root ≈ 17.1088
   2. B) root ≈ 1.71088
   3. C) root ≈ 12
   4. D) root ≈ 3

6. 6

   Solve Newton's method for x² + x − 3 = 0 from x = 1

   Answer: ____________________

7. 7

   Solve Newton's method for x³ + 2x − 4 = 0 from x = 1
   1. A) root ≈ 11.7975
   2. B) root ≈ 1.17975
   3. C) root ≈ −1
   4. D) root ≈ 5

8. 8

   Solve Newton's method for x³ − 2x − 5 = 0 from x = 2

   Answer: ____________________

9. 9

   Solve Newton's method for x³ − 4x + 1 = 0 from x = 2
   1. A) root ≈ 8
   2. B) root ≈ 1.86098
   3. C) root ≈ 18.6098
   4. D) root ≈ 1

10. 10

    Estimate √3 with Newton's method from x = 2, 3 steps

    Answer: ____________________