compare dengue cases in shah alam, gombak and klang which recorded highest dengue cases every year by refer to trend, harmonic function and graph plotted on Maple.

6. a0 n n
f ( x) a n cos x bn sin x
2 n 1 L L
2L
1 2L
a0 f ( x ) dx 1 n 1
2L
n
L 0
a1 f ( x) cos xdx b1 f ( x) sin xdx
L 0
L L0 L
1
yk
L 1 n x 1 n x
k 1
yk cos y k sin
L k 1 L L k 1 L
yk
k 1
n x n x
L yk cos y k sin
k 1 L k 1 L
[ average of f ( x )]
L L

7. a0 x x 2x 2x
f ( x) a1 cos b1 sin a 2 cos b2 sin ...
2 L L L L
x x
a1 cos b1 sin
L L

8. x 2 x
y f ( x) c0 c1 sin 1 c 2 sin 2 ...
L L
a0
c0 ,
2
c1 a12 b12 ,
1 a1
1 tan
x b1
y c0 c1 sin 1
L

10. 1 51 51
n x
51
n x
a0 yk yk cos y k sin
L k 1 L k 1 L
a1
k 1 b1
8205 L L
51 2605.2801 5521.808
160.8824 25.5 25.5
80.9914 216.5415
160 .8824 x x
f ( x) 80 .9914 cos 216 .5415 sin ...
2 25 .5 25 .5

11. a0 a1
c0 2 2 tan 1
2 c1 a1 b ,
1
1
b1
160.8824
80.9914
2 80.99142 216.54152 tan 1
216.5415
80.4412 231.1922 0.3579
x
y 80.4412 231.1922 sin 0.3579
L

14. District Fourier Series Equation
Shah Alam y= 80.4412 + 231.1922sin*(πx/25.5) + 0.3579+
Gombak y= 60.4314 + 74.1562 sin*(πx/25.5) + 0.2120+
Klang y= 25.5882 + 81.4546 sin[(πx/25.5) -0.1933]
District Fourier Series Equation
Shah Alam y= 34.6774 + 72.1705sin *(πx/15.5) – 0.0217]
Gombak y= 57.5968 + 66.344sin [(πx/15.5) +0.2497]
Klang y= 15.7097 + 18.7445sin [(πx/15.5) – 0.4619]

15. District Peak Value Cases Week
Shah Alam 310 10
Gombak 130 10
Klang 110 12
District Peak Value Cases Week
Shah Alam 120 9
Gombak 120 7
Klang 35 10