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Iterative Methods for Solving Equations

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Equations Learning Material
Tutorial IDTitleTutorialVideo
Tutorial		Revision
Notes		Revision
Questions
9.4Iterative Methods for Solving Equations

Iterative Methods for Solving Equations Revision Questions

1. . What is the value of x in the equation

x5 - 2x2 - 15 = 0

that is between 1 and 2 and is rounded to one decimal place?

  1. 2.0
  2. 1.9
  3. 1.8
  4. 1.7
  5. 1.6

Correct Answer: C

2. . What is the solution between 5 and 6 of the equation

x3 + 5x - 164 = 0

when rounded to one decimal place?

  1. 5.0
  2. 5.1
  3. 5.2
  4. 5.3

Correct Answer: C

3. . What is the solution between 5 and 6 of the equation

x3 - 3x - 134 = 0

when rounded to one decimal place?

  1. 5.2
  2. 5.3
  3. 5.4
  4. 5.5

Correct Answer: B

4. . How many times must we apply the half - interval method to solve an equation if the range of the original interval to check is one unit and the result is rounded to one decimal place?

  1. 2
  2. 3
  3. 4
  4. 5

Correct Answer: B

5. . Use the iteration machine below to find the root of the equation

2x3 - 21x + 2 = 0

to one decimal place. Start the iteration from x0 = 3.

Math Tutorials: Iterative Methods for Solving Equations Example
  1. 3.1
  2. 3.2
  3. 3.3
  4. 3.4

Correct Answer: B

6. . Use the iteration machine below to find the root of the equation

x5 - 6x3 + 19 = 0

to one decimal place. Start the iteration from x0 = 2.

Math Tutorials: Iterative Methods for Solving Equations Example
  1. 2.2
  2. 2.1
  3. 2.0
  4. 1.9

Correct Answer: D

7. . Identify the one - unit range in which we must check one of the solutions for the equation

x5 - 9x3 - 18 = 0
  1. Between 1 and 2
  2. Between 2 and 3
  3. Between 3 and 4
  4. Between 4 and 5

Correct Answer: D

8. . Identify the one - half of a unit range in which we must check for one of the solutions for the equation

2x3 - 15x2 + 8 = 0
  1. Between 0 and 0.5
  2. Between 0.5 and 1
  3. Between 1 and 1.5
  4. Between 1.5 and 2

Correct Answer: B

9. . One side of a rectangle is 11 cm longer than the other and the area of this rectangle is 220 cm2. What is the rectangle's perimeter written to one decimal place?

  1. 10.3 cm
  2. 21.3 cm
  3. 31.6 cm
  4. 63.2 cm

Correct Answer: D

10. . The sides of a rectangular container are x cm, (x + 3) cm and (x + 7) cm respectively and the volume of this container is 570 cm3. What is the length of the shortest side rounded to one decimal place?

  1. 5.6
  2. 5.5
  3. 5.4
  4. 5.3

Correct Answer: C

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