Question 16

 

 

 

 

 

 

Converting degree to Radian

 

 

 

 

 

 

Angle in degree

Angle in radian(x)

sin x

0

0

0

25

0.436332313

0.422618

42

0.733038286

0.669131

77

1.343903524

0.97437

95

1.658062789

0.996195

106

1.850049007

0.961262

 

 

Question18

 

No.

Constant,G

Mass,m1(kg)

Mass,m2(kg)

Distance,r (m)

r^2

Force,F

1

6.67E-11

100

10

0.001

0.000001

6.67E-02

2

6.67E-11

200

20

0.002

0.000004

1.67E-02

3

6.67E-11

300

30

0.003

0.000009

7.41E-03

4

6.67E-11

400

40

0.004

0.000016

4.17E-03

5

6.67E-11

500

50

0.005

0.000025

2.67E-03

6

6.67E-11

600

60

0.006

0.000036

1.85E-03

7

6.67E-11

700

70

0.007

0.000049

1.36E-03

8

6.67E-11

800

80

0.008

0.000064

1.04E-03

9

6.67E-11

900

90

0.009

0.000081

8.23E-04

10

6.67E-11

1000

100

0.01

0.0001

6.67E-04

 

 

Question 19

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

y= 2ax+3b

 

 

 

 

 

 

 

 

 

 

 

 

No.

x

  y value calculated using different set of constants

 

 

 

a=1 b=3

a=2 b=5

a=3 b=4

a=5 b=3

 

1

1

11

19

18

19

 

2

2

13

23

24

29

 

3

3

15

27

30

39

 

4

4

17

31

36

49

 

5

5

19

35

42

59

 

6

6

21

39

48

69

 

7

7

23

43

54

79

 

8

8

25

47

60

89

 

9

9

27

51

66

99

 

10

10

29

55

72

109

 

 

 

 

 

Question 20

 

 

 

 

 

 

 

 

 

 

 

 

equations

 

 

constant vector

solution vector

3v-2w+x+7y-5z=6

 

6

 

7.383355

 

2v-2w+4x+y-4z=7

 

7

 

-10.3462

 

5v-4w+9x+8y-2z=-9

 

-9

 

-10.2638

 

v+5w-7x+6y+8z=1

 

1

 

738

 

7v+5w-x-y+2z=4

 

4

 

14412

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Coefficient Matrix(5*5)

 

 

 

 

3

2

1

7

-5

 

 

2

-2

4

1

-4

 

 

5

-4

9

8

-2

 

 

1

5

-7

6

8

 

 

7

5

-1

-1

2

 

 

 

 

 

 

 

 

 

Determinant of Coefficient Matrix

 

 

 

 

-4518

 

 

 

 

 

 

 

 

 

 

 

 

 

 

v coefficient matrix

 

 

 

 

 

6

2

1

7

-5

 

 

7

-2

4

1

-4

 

 

-9

-4

9

8

-2

 

 

1

5

-7

6

8

 

 

4

5

-1

-1

2

 

 

 

 

 

 

 

 

 

 

w  coefficient matrix

 

 

 

 

3

6

1

7

-5

 

 

2

7

4

1

-4

 

 

5

-9

9

8

-2

 

 

1

1

-7

6

8

 

 

7

4

-1

-1

2

 

 

 

 

 

 

 

 

 

 

x coefficient matrix

 

 

 

 

3

2

6

7

-5

 

 

2

-2

7

1

-4

 

 

5

-4

-9

8

-2

 

 

1

5

1

6

8

 

 

7

5

4

-1

2

 

 

 

 

 

 

 

 

 

 

y coefficient matrix

 

 

 

 

3

2

1

6

-5

 

 

2

-2

4

7

-4

 

 

5

-4

9

-9

-2

 

 

1

5

-7

1

8

 

 

7

5

-1

4

2

 

 

 

 

 

 

 

 

 

 

z coefficient matrix

 

 

 

 

3

2

1

7

6

 

 

2

-2

4

1

7

 

 

5

-4

9

8

-9

 

 

1

5

-7

6

1

 

 

7

5

-1

-1

4

 

 

 

 

 

Question21

 

 

 

 

 

 

 

 

 

 

V

v.calculate

residuals

square

127.0355

128.926616

1.891115631

3.5763183

48.0715

47.1021534

-0.969346647

0.9396329

12.1348

10.8100047

-1.324795279

1.7550825

8.3139

0.19531613

-8.118583872

65.911404

5.3366

0.00285015

-5.333749849

28.448887

3.1064

0.27733424

-2.829065761

8.0036131

1.5361

0.95796182

-0.578138181

0.3342438

0.5472

1.99012548

1.442925478

2.0820339

0.0689

3.32483632

3.255936324

10.601121

0.0374

4.91819577

4.880795773

23.822167

0.3957

6.73091511

6.335215111

40.134951

1.0921

8.72787858

7.635778584

58.305115

2.0807

10.8777461

8.797046146

77.388021

3.3199

13.1525923

9.832692349

96.681839

4.7728

15.5275781

10.75477814

115.66525

10.0998

17.9806526

7.880852627

62.107838

20.7786

25.6242047

4.845604707

23.479885

31.9924

38.4971768

6.504776785

42.312121

42.6319

50.6104688

7.978568833

63.657561

52.1824

61.4352678

9.252867782

85.615562

60.4667

70.8011581

10.33445814

106.80103

 

 

113.7

 

0.4563

 

2.089

 

917.62367

 

R=

1.25

v.calculated=

24.736975

 

 

R=

c

v.calculated=

0

 

 

 

 

question22

 

 

 

 

 

 

 

 

 

 

No

Name

Marks

Grades

1

Dina

99

A

2

Aliff

99

A

3

Raihan

98

A

4

Saadi

86

A

5

Irfan

85

A

6

Amna

81

A

7

Fairuz

80

A

8

Jannah

78

B

9

Ariff

75

B

10

Hameza

68

B

11

Saidah

66

B

12

Hanis

65

B

13

Norman

65

B

14

Fifi

53

C

15

Raudhah

50

C

16

Imran

50

C

17

Mardhiah

42

D

18

Zamarul

41

D

 

Range

Grade

Frequency

80-100

A

7

60-79

B

6

50-59

C

3

40-49

D

2

0-39

E

0

 

 

 

 

 

Question 23

 

 

 

 

 

 

 

 

 

 

EXPERIMENT:

Ohm's Law

 

 

 

 

 

 

 

 

 

OBJECTIVE:

 To study Ohm's Law

 

 

 

 

 

 

 

 

APPARATUS:

Electronic circuit, multimeter, wires, resistor, batteries

 

 

 

 

 

 

PROCEDURE:

 

 

 

 

1

Setup the equipment completely from the manual.

2

Set the constant value for the resistor(40 ohm)

3

Set the current desired.

 

 

4

Measure the voltage.

 

 

 

 

 

 

 

 

 

 

Result:

 

 

 

 

 

 

 

 

 

 

 

Current, I

Resistor,R

Voltage,V

 

 

 

0.1

40

4

 

 

 

0.2

40

8

 

 

 

0.3

40

12

 

 

 

0.4

40

16

 

 

 

0.5

40

20

 

 

 

0.6

40

24

 

 

 

 

 

Question24(1)

 

Coefficient Matrix (2*2).

 

Constant Vector

Solution Vector.

3

-1

5

2

-2

10

6

1

 

 

 

 

Determinant of Coefficient Matrix

 

 

 

28

 

 

 

 

 

 

 

X1 coefficient matrix

 

 

 

5

-1

 

 

6

10

 

 

X2 coefficient matrix

 

 

 

3

5

 

 

-2

6

 

 

Question24(2)

 

height(cm)

weight(kg)

 

SUMMARY OUTPUT

 

132

54

 

 

 

134

53

 

Regression Statistics

 

145

56

 

Multiple R

0.912032

147

57

 

R Square

0.831803

165

68

 

Adjusted R Square

0.810778

187

73

 

Standard Error

4.869025

197

77

 

Observations

10

201

79

 

 

 

234

73

 

 

 

245

82

 

 

 

 

 

Question 24

 

 

 

 

 

 

 

x=

1.4041

0.00042

 

 

Question24(4)

 

 

 

Question24(5)

 

x1=

1

x2=

2

x3=

3

 

 

 

 

0

 

0

 

0