1 Total 4 pts The following are the results from Method 1 1p

1. [Total 4 pts] The following are the results from Method 1.

[1pt] Explain why the last point computed in Expt 2 is not equal to max.

[1pt] Explain the cause of the serious error in Expt 3.

[1pt] Why is there no error in Expts 1, 4 and 5?

Expt

Range

#intervals

#markers

Last point

Difference between last point and max

1

[0.0, 10.0]

10

11

10.0

0.0

2

[1.0, 10.0]

10

11

9.999999

-9.536743E-7

3

[2.0, 10.0]

10

10

9.200001

-0.79999924

4

[2.0, 10.0]

8

9

10.0

0.0

5

[2.0, 10.0]

16

17

10.0

0.0

[1pt] The following are results from Method 2. What causes the results to be more accurate?

Expt

Range

#intervals

#markers

Last point

Difference between last point and max

1

[0.0, 10.0]

10

11

10.0

0.0

2

[1.0, 10.0]

10

11

10.0

0.0

3

[2.0, 10.0]

10

11

10.0

0.0

4

[2.0, 10.0]

8

9

10.0

0.0

5

[2.0, 10.0]

16

17

10.0

0.0

Expt	Range	#intervals	#markers	Last point	Difference between last point and max
1	[0.0, 10.0]	10	11	10.0	0.0
2	[1.0, 10.0]	10	11	9.999999	-9.536743E-7
3	[2.0, 10.0]	10	10	9.200001	-0.79999924
4	[2.0, 10.0]	8	9	10.0	0.0
5	[2.0, 10.0]	16	17	10.0	0.0

Solution

[1pt] Explain why the last point computed in Expt 2 is not equal to max.

because there are different in the way that you need to use the max

[1pt] Explain the cause of the serious error in Expt 3.

because the width of interval is more bigger

[1pt] Why is there no error in Expts 1, 4 and 5?

because the last point is 10