1. The document provides instructions for a group assignment involving developing a GUI-based application in MATLAB. 2. Students will be divided into groups of at most 4 students who must submit both a written report and video presentation of their GUI project. 3. The GUI application must be able to compute and visualize scenarios of equations assigned to each group, read and write data to Excel, and evaluate statistics of generated data.

1. THE COPPERBELT UNIVERSITY
SCHOOL OF ENGINEERING
CS211 – Applied Computing
Group Assignment two
Due Date: 25 August 2023

2. Instructions:
1. The assignment is to be undertaken in groups of at most four students.
2. Each group will be required to submit hardcopy and PDF reports.
3. Each group will be required to make a 20-minute video presentation explaining the GUI and functionality of code
developed. Each student in a group is required to speak for a minimum of three minutes on a sizeable section of the GUI
project.
4. Each group’s softcopy submission should be saved as a folder with the Group leader’s name as the name of the folder.
The folder should contain a PDF report, video presentation and MATLAB files.
5. The two class representatives will be provided a flash disk through which all the group folders will be submitted to faculty
for evaluation.
6. Follow the detailed assignment instructions on page three and the associated video-based guidelines.

3. Problem sets:
Develop a GUI-based application that has the following capabilities: -
i. The programme should be able to compute several scenarios of equations assigned to a group and display the graph
on a GUI. Use appropriate functional and/ or class abstraction to encapsulate this capability. Figure 1 below shows an
example of how scenarios can be visualised.
ii. The programme should be able to read and write data generated from scenarios analysed onto properly annotated
excel tables.
iii. The programme should be able to evaluate such statistics as maximum, minimum, mean and standard deviation for
the generated data. Use for-loops or while loops and other flow control structures. Use of built-in MATLAB functions
such as min, max and std will be penalised.
Fig 1 Scenario visualization for a projectile under various
firing angles and initial velocities

4. S/N NAMES SIN EQUATIONS
1 NATASHA MUMBA 21172328
Fg =
G ∗ Msat ∗ ME
(RE + horbit)2
Variables: 𝑀𝑠𝑎𝑡, 𝑀𝐸, 𝐺 𝑎𝑛𝑑 ℎ𝑜𝑟𝑏𝑖𝑡
2 CHIFUNDA FREDRICK 21168198 𝑦 = 𝐴 ∗ cos (2 ∗ 𝜋 ∗ 𝑓 ∗ (
𝑥
𝑣
− 𝑡))
Variables: 𝑡, 𝑓, 𝑥 𝑎𝑛𝑑 𝑣
3 MOSES KALENGA 21164789
𝐸𝑦 =
𝑞
4 ∗ 𝜋 ∗ 𝜀𝑜
∗ (
1
(𝑦 − 𝑑/2)2
−
1
(𝑦 + 𝑑/2)2
)
Variables: y, q and d
4 MWABA MWAPE 21170878 𝑃 = 𝑉 ∗ 𝐼 ∗ cos(∅) ∗ 𝑐𝑜𝑠2(𝜔 ∗ 𝑡) − 𝑉 ∗ 𝐼 ∗ sin(∅) ∗ cos(𝜔 ∗ 𝑡) ∗ sin(𝜔 ∗ 𝑡)
Variables: 𝑡, 𝜔, 𝑉 𝑎𝑛𝑑 ∅
5 COMFORT SALUNDA 21163547
𝑡 =
√ℎ1
2
+ 𝑥2
𝑉1
+
√ℎ2
2
+ (𝐿 − 𝑥)2
𝑉2
Variables: 𝑥, ℎ1 𝑎𝑛𝑑 ℎ2
6 JOSHUA BANDA 21171962
𝐼 = 𝐼𝑜 ∗ [
sin (𝜋 ∗ 𝑎 ∗ sin (𝜃)/𝐿)
𝜋 ∗ 𝑎 ∗ sin (𝜃)/2
]
2
Variables: 𝜃, 𝑎, 𝑎𝑛𝑑 𝐿

5. 7 ALINANI SINKAMBA 21166737
𝐸 =
𝑚 ∗ 𝐶2
√1 −
𝑣2
𝑐2
Variables: 𝑣, 𝑚 𝑎𝑛𝑑 𝑐
8 ANDREW MUSUNGA 21164463 𝑦 = 𝐴 ∗ 𝑒−𝑏∗𝑡
∗ sin (𝜔 ∗ √1 − 𝛿2 ∗ 𝑡)
Variables: 𝑡, 𝜔, 𝑏 𝑎𝑛𝑑 𝛿
9 SEBASTIAN MTONGA 21163249
𝑉 =
√
2 ∗ 𝑔 ∗ ℎ
(
𝐴1
𝐴2
)
2
− 1
Variables: ℎ, 𝐴1 𝑎𝑛𝑑 𝐴2
10 TRYWELL CHANDA 21167051
Fg =
G ∗ Msat ∗ ME
(RE + horbit)2
Variables: 𝑀𝑠𝑎𝑡, 𝑀𝐸, 𝐺 𝑎𝑛𝑑 ℎ𝑜𝑟𝑏𝑖𝑡
11 DIMBANI MVULA 21166143 𝑦 = 𝐴 ∗ cos (2 ∗ 𝜋 ∗ 𝑓 ∗ (
𝑥
𝑣
− 𝑡))
Variables: 𝑡, 𝑓, 𝑥 𝑎𝑛𝑑 𝑣

6. 12 MERCY MVULA 21171643
𝐸𝑦 =
𝑞
4 ∗ 𝜋 ∗ 𝜀𝑜
∗ (
1
(𝑦 − 𝑑/2)2
−
1
(𝑦 + 𝑑/2)2
)
Variables: y, q and d
13 CHIBALE MIKE 21167131 𝑃 = 𝑉 ∗ 𝐼 ∗ cos(∅) ∗ 𝑐𝑜𝑠2(𝜔 ∗ 𝑡) − 𝑉 ∗ 𝐼 ∗ sin(∅) ∗ cos(𝜔 ∗ 𝑡) ∗ sin(𝜔 ∗ 𝑡)
Variables: 𝑡, 𝜔, 𝑉 𝑎𝑛𝑑 ∅
14 ANGEL CHOMBA 21162513
𝑡 =
√ℎ1
2
+ 𝑥2
𝑉1
+
√ℎ2
2
+ (𝐿 − 𝑥)2
𝑉2
Variables: 𝑥, ℎ1 𝑎𝑛𝑑 ℎ2
15 CHITENGI JAMES 21165007
𝑟𝑠𝑎𝑡 =
𝑎 ∗ (1 − 𝑒2
)
1 + 𝑒 ∗ cos (𝜃)
Variables: 𝜃 𝑎𝑛𝑑 𝑒
Produce polar plots of the above satellite orbit.
16 GAD MASTAKI
NTAMBWE
21940386
𝑖 = (
𝐸
𝑅
) ∗ [1 − 𝑒−𝛽∗𝑡
∗ ((2 ∗ 𝜔 ∗ 𝑅 ∗ 𝐶)−1
∗ sin(𝜔 ∗ 𝑡) + cos (𝜔 ∗ 𝑡))]
Variables: 𝑡, 𝜔 𝑎𝑛𝑑 𝑅
17 PATSON CHIKUTA
CHAOKA
21170884
𝑉 =
1
4 ∗ 𝜋 ∗ 𝜖𝑜
∗
𝑄
2 ∗ 𝑎
∗ 𝐿𝑛 (
√𝑎2 + 𝑥2 + 𝑎
√𝑎2 + 𝑥2 − 𝑎
)
Variables: 𝑥, 𝑎 𝑎𝑛𝑑 𝑄

7. 18 SIKOMBE ELIJAH 21169993
𝑔 =
𝐺 ∗ 𝑀𝐸
(𝑅𝐸 + ℎ𝑜𝑟𝑏𝑖𝑡)2
Variables: ℎ𝑜𝑟𝑏𝑖𝑡 , 𝑅𝐸 𝑎𝑛𝑑 𝑀𝐸
19 KASUBA CHARLES 21166978
𝐶 =
𝜋 ∗ 𝜀 ∗ 𝐿
𝐿𝑛 [
𝑑
𝑟
+ √(
𝑑
𝑟
)
2
− 1]
Variables: 𝑑, 𝑟 𝑎𝑛𝑑 𝐿
20 WENCE MWALE 21164732
𝐹 =
𝑄2
4 ∗ 𝜋 ∗ 𝜀𝑜 ∗ 𝐿2
∗ 𝐿𝑛 (
(𝑎 + 𝐿)2
𝑎 ∗ (𝑎 + 2 ∗ 𝐿)2
)
Variables: Q, L and a
21 SAMSON CHIZINGUKA 21162696 𝑦 = (2 ∗ 𝐴(sin(𝑘 ∗ 𝑥)) ∗ sin (𝜔𝑡)
Variables: 𝑥, 𝑤 𝑎𝑛𝑑 𝑡
22 JULLIEN PHIRI 20150573
𝑖 = (
𝐸
𝑅
) ∗ [1 − 𝑒−𝛽∗𝑡
∗ ((2 ∗ 𝜔 ∗ 𝑅 ∗ 𝐶)−1
∗ sin(𝜔 ∗ 𝑡) + cos (𝜔 ∗ 𝑡))]
Variables: 𝑡, 𝜔 𝑎𝑛𝑑 𝑅
23 MOSES KAMBOLE 21167525
𝐸 = 𝐸𝑜 ∗ sin(𝑘 ∗ 𝐷 − 𝜔 ∗ 𝑡) ∗
𝑠𝑖𝑛[𝑘 ∗ 𝑎 ∗ sin (𝜃)/2]
𝑘 ∗ 𝑎 ∗ sin (𝜃)/2
Variables: 𝑡, 𝜃 𝑎𝑛𝑑 𝜔
24 KELVIN MUGWAGWA 21162958 𝑦 = 𝐴 ∗ 𝑒−𝑏∗𝑡
∗ sin (𝜔 ∗ √1 − 𝛿2 ∗ 𝑡)

8. Variables: 𝑡, 𝜔, 𝑏 𝑎𝑛𝑑 𝛿
25 INNOCENT MULENGA 21166878
𝑉 =
√
2 ∗ 𝑔 ∗ ℎ
(
𝐴1
𝐴2
)
2
− 1
Variables: ℎ, 𝐴1 𝑎𝑛𝑑 𝐴2
26 MWALE FRANCIS 21162415 𝑦 = (2 ∗ 𝐴(sin(𝑘 ∗ 𝑥)) ∗ sin (𝜔𝑡)
Variables: 𝑥, 𝑤 𝑎𝑛𝑑 𝑡
27 ANDREW KAWINA 21178266
𝐶 =
𝜋 ∗ 𝜀 ∗ 𝐿
𝐿𝑛 [
𝑑
𝑟
+ √(
𝑑
𝑟
)
2
− 1]
Variables: 𝑑, 𝑟 𝑎𝑛𝑑 𝐿
28 ANGEL LONGOLONGO 21162549
𝐹 =
𝑄2
4 ∗ 𝜋 ∗ 𝜀𝑜 ∗ 𝐿2
∗ 𝐿𝑛 (
(𝑎 + 𝐿)2
𝑎 ∗ (𝑎 + 2 ∗ 𝐿)2
)
Variables: Q, L and a
29 BLESSINGS KUNDA 21163987 𝑦 = 𝐴 ∗ cos (2 ∗ 𝜋 ∗ 𝑓 ∗ (
𝑥
𝑣
− 𝑡))
Variables: 𝑡, 𝑓, 𝑥 𝑎𝑛𝑑 𝑣

9. 30 AUGUSTINE BALENGU 21168766
𝐸 = 𝐸𝑜 ∗ sin(𝑘 ∗ 𝐷 − 𝜔 ∗ 𝑡) ∗
𝑠𝑖𝑛[𝑘 ∗ 𝑎 ∗ sin (𝜃)/2]
𝑘 ∗ 𝑎 ∗ sin (𝜃)/2
Variables: 𝑡, 𝜃 𝑎𝑛𝑑 𝜔
31 BLESSINGS JAMES
BWALYA
21162923
𝑞 = 𝐴 ∗ 𝑒
−(
𝑅
2∗𝐿
)𝑡
∗ 𝑐𝑜𝑠 (√
1
𝐿 ∗ 𝐶
−
𝑅2
4 ∗ 𝐿2
∗ 𝑡 + ∅)
Variables: 𝑡, 𝐿 𝑎𝑛𝑑 ∅
32 MICHAEL KALUBA 21163517
𝑞 = 𝐴 ∗ 𝑒
−(
𝑅
2∗𝐿
)𝑡
∗ 𝑐𝑜𝑠 (√
1
𝐿 ∗ 𝐶
−
𝑅2
4 ∗ 𝐿2
∗ 𝑡 + ∅)
33 MADALITSO NJOVU 21163550 𝑦 = 𝐴 ∗ 𝑒−𝑏∗𝑡
∗ sin (𝜔 ∗ √1 − 𝛿2 ∗ 𝑡)
Variables: 𝑡, 𝜔, 𝑏 𝑎𝑛𝑑 𝛿
34 PHILIP BWALE MULUME 21162318
𝐸 =
𝑚 ∗ 𝐶2
√1 −
𝑣2
𝑐2
Variables: 𝑣, 𝑚 𝑎𝑛𝑑 𝑐

10. 35 MICHELLE KAMPEKETE 21178270
𝑖 = (
𝐸
𝑅
) ∗ [1 − 𝑒−𝛽∗𝑡
∗ ((2 ∗ 𝜔 ∗ 𝑅 ∗ 𝐶)−1
∗ sin(𝜔 ∗ 𝑡) + cos (𝜔 ∗ 𝑡))]
Variables: 𝑡, 𝜔 𝑎𝑛𝑑 𝑅
36 MALELE KABOLEKA 21162446
Fg =
G ∗ Msat ∗ ME
(RE + horbit)2
Variables: 𝑀𝑠𝑎𝑡, 𝑀𝐸, 𝐺 𝑎𝑛𝑑 ℎ𝑜𝑟𝑏𝑖𝑡
37 DEOGRACIOUS
HAMAKALA
21168204
𝑦 = 𝐴 ∗ cos (2 ∗ π ∗ (
𝑥
𝐿
−
𝑡
𝑇
))
Variables: 𝐿, 𝑡 𝑎𝑛𝑑 𝑥
38 VICTOR SAKUWAHA 21165455 𝑃 = 𝑉 ∗ 𝐼 ∗ cos(∅) ∗ 𝑐𝑜𝑠2(𝜔 ∗ 𝑡) − 𝑉 ∗ 𝐼 ∗ sin(∅) ∗ cos(𝜔 ∗ 𝑡) ∗ sin(𝜔 ∗ 𝑡)
Variables: 𝑡, 𝜔, 𝑉 𝑎𝑛𝑑 ∅
39 OBED KAKOMPE 21172582
𝑡 =
√ℎ1
2
+ 𝑥2
𝑉1
+
√ℎ2
2
+ (𝐿 − 𝑥)2
𝑉2
Variables: 𝑥, ℎ1 𝑎𝑛𝑑 ℎ2
40 KAPOKA CHIBAMBA 21161380
𝐼 = 𝐼𝑜 ∗ [
sin (𝜋 ∗ 𝑎 ∗ sin (𝜃)/𝐿)
𝜋 ∗ 𝑎 ∗ sin (𝜃)/2
]
2
Variables: 𝜃, 𝑎, 𝑎𝑛𝑑 𝐿

11. 41 MAPALO CHIPULU 21165988
𝑟𝑠𝑎𝑡 =
𝑎 ∗ (1 − 𝑒2
)
1 + 𝑒 ∗ cos (𝜃)
Variables: 𝜃 𝑎𝑛𝑑 𝑒
Produce polar plots of the above satellite orbit.
42 LONDE MUSONDA 21940959
𝑖 = (
𝐸
𝑅
) ∗ [1 − 𝑒−𝛽∗𝑡
∗ ((2 ∗ 𝜔 ∗ 𝑅 ∗ 𝐶)−1
∗ sin(𝜔 ∗ 𝑡) + cos (𝜔 ∗ 𝑡))]
Variables: 𝑡, 𝜔 𝑎𝑛𝑑 𝑅
43 SANGWANI MUSETEKA 21169346
𝑉 =
1
4 ∗ 𝜋 ∗ 𝜖𝑜
∗
𝑄
2 ∗ 𝑎
∗ 𝐿𝑛 (
√𝑎2 + 𝑥2 + 𝑎
√𝑎2 + 𝑥2 − 𝑎
)
Variables: 𝑥, 𝑎 𝑎𝑛𝑑 𝑄
44 INNOCENT MWAPE 21169995
𝑞 = 𝐴 ∗ 𝑒
−(
𝑅
2∗𝐿
)𝑡
∗ 𝑐𝑜𝑠 (√
1
𝐿 ∗ 𝐶
−
𝑅2
4 ∗ 𝐿2
∗ 𝑡 + ∅)
45 VIVIAN CHINGA 21169245
𝑉 =
√
2 ∗ 𝑔 ∗ ℎ
(
𝐴1
𝐴2
)
2
− 1
Variables: ℎ, 𝐴1 𝑎𝑛𝑑 𝐴2

12. 46 BOYD KALUFYENTI 21162861
𝐸 = 𝐸𝑜 ∗ sin(𝑘 ∗ 𝐷 − 𝜔 ∗ 𝑡) ∗
𝑠𝑖𝑛[𝑘 ∗ 𝑎 ∗ sin (𝜃)/2]
𝑘 ∗ 𝑎 ∗ sin (𝜃)/2
Variables: 𝑡, 𝜃 𝑎𝑛𝑑 𝜔
47 KELVIN JACOB PHIRI 21165246 𝑦 = 𝐴 ∗ 𝑒−𝑏∗𝑡
∗ sin (𝜔 ∗ √1 − 𝛿2 ∗ 𝑡)
Variables: 𝑡, 𝜔, 𝑏 𝑎𝑛𝑑 𝛿
48 STEVEN MUMBA
CHILONGA
21162140
𝑟𝑠𝑎𝑡 =
𝑎 ∗ (1 − 𝑒2
)
1 + 𝑒 ∗ cos (𝜃)
Variables: 𝜃 𝑎𝑛𝑑 𝑒
Produce polar plots of the above satellite orbit.
49 MULUSA SIMUKONDA
PUPE
21162140 𝑦 = (2 ∗ 𝐴(sin(𝑘 ∗ 𝑥)) ∗ sin (𝜔𝑡)
Variables: 𝑥, 𝑤 𝑎𝑛𝑑 𝑡
50 CHIKUNJI ELIJAH 21166782
𝑖 = (
𝐸
𝑅
) ∗ [1 − 𝑒−𝛽∗𝑡
∗ ((2 ∗ 𝜔 ∗ 𝑅 ∗ 𝐶)−1
∗ sin(𝜔 ∗ 𝑡) + cos (𝜔 ∗ 𝑡))]
Variables: 𝑡, 𝜔 𝑎𝑛𝑑 𝑅
51 IAN MULENGA 21164179
𝐼 = 𝐼𝑜 ∗ [
sin (𝜋 ∗ 𝑎 ∗ sin (𝜃)/𝐿)
𝜋 ∗ 𝑎 ∗ sin (𝜃)/2
]
2
Variables: 𝜃, 𝑎, 𝑎𝑛𝑑 𝐿

13. 52 KINGSLEY MWAPE 21172260
𝑇 = 𝑇𝑎 +
𝑃
𝛿
∗ [1 − 𝑒
(−
𝛿
𝑐∗𝑚
∗𝑡)
]
Variables: 𝛿, 𝑡 𝑎𝑛𝑑 𝑃
53 TUZA ZIMBA 21169188 𝑦 = 𝐴 ∗ cos (2 ∗ 𝜋 ∗ 𝑓 ∗ (
𝑥
𝑣
− 𝑡))
Variables: 𝑡, 𝑓, 𝑥 𝑎𝑛𝑑 𝑣
54 SHADRICK NYIRONGO 21166834
𝐸𝑦 =
𝑞
4 ∗ 𝜋 ∗ 𝜀𝑜
∗ (
1
(𝑦 − 𝑑/2)2
−
1
(𝑦 + 𝑑/2)2
)
Variables: y, q and d
55 ALICK PHIRI 21166320 𝑃 = 𝑉 ∗ 𝐼 ∗ cos(∅) ∗ 𝑐𝑜𝑠2(𝜔 ∗ 𝑡) − 𝑉 ∗ 𝐼 ∗ sin(∅) ∗ cos(𝜔 ∗ 𝑡) ∗ sin(𝜔 ∗ 𝑡)
Variables: 𝑡, 𝜔, 𝑉 𝑎𝑛𝑑 ∅
56 CHISHIMBA DICKSON 21172548
𝑡 =
√ℎ1
2
+ 𝑥2
𝑉1
+
√ℎ2
2
+ (𝐿 − 𝑥)2
𝑉2
Variables: 𝑥, ℎ1 𝑎𝑛𝑑 ℎ2
57 MWAPE ERNEST 21172436
𝑞 = 𝐴 ∗ 𝑒
−(
𝑅
2∗𝐿
)𝑡
∗ 𝑐𝑜𝑠 (√
1
𝐿 ∗ 𝐶
−
𝑅2
4 ∗ 𝐿2
∗ 𝑡 + ∅)
Variables: 𝑡, 𝐿 𝑎𝑛𝑑 ∅

14. 58 DWIGHTY CHISI 20149720
𝑇 = 𝑇𝑎 +
𝑃
𝛿
∗ [1 − 𝑒
(−
𝛿
𝑐∗𝑚
∗𝑡)
]
Variables: 𝛿, 𝑡 𝑎𝑛𝑑 𝑃
59 MUKULI SYAMUNTU 21164781
𝑉 =
1
4 ∗ 𝜋 ∗ 𝜖𝑜
∗
𝑄
2 ∗ 𝑎
∗ 𝐿𝑛 (
√𝑎2 + 𝑥2 + 𝑎
√𝑎2 + 𝑥2 − 𝑎
)
Variables: 𝑥, 𝑎 𝑎𝑛𝑑 𝑄
60 MAPALO MUKALULA 21172772
𝐼 = 𝐼𝑜 ∗ [
sin (𝜋 ∗ 𝑎 ∗ sin (𝜃)/𝐿)
𝜋 ∗ 𝑎 ∗ sin (𝜃)/2
]
2
Variables: 𝜃, 𝑎, 𝑎𝑛𝑑 𝐿
61 SALIFTYANJI JULLIET
MUKANGA
21172496
𝐸𝑦 =
𝑞
4 ∗ 𝜋 ∗ 𝜀𝑜
∗ (
1
(𝑦 − 𝑑/2)2
−
1
(𝑦 + 𝑑/2)2
)
Variables: y, q and d
62 JOSEPH CHANGA 21164860 𝑃 = 𝑉 ∗ 𝐼 ∗ cos(∅) ∗ 𝑐𝑜𝑠2(𝜔 ∗ 𝑡) − 𝑉 ∗ 𝐼 ∗ sin(∅) ∗ cos(𝜔 ∗ 𝑡) ∗ sin(𝜔 ∗ 𝑡)
Variables: 𝑡, 𝜔, 𝑉 𝑎𝑛𝑑 ∅
63 PATRICK MULENGA 21163317
𝐸 =
𝑚 ∗ 𝐶2
√1 −
𝑣2
𝑐2

15. Variables: 𝑣, 𝑚 𝑎𝑛𝑑 𝑐
64 RAYMOND MUJALA 21164465
𝐹 =
𝑄2
4 ∗ 𝜋 ∗ 𝜀𝑜 ∗ 𝐿2
∗ 𝐿𝑛 (
(𝑎 + 𝐿)2
𝑎 ∗ (𝑎 + 2 ∗ 𝐿)2
)
Variables: Q, L and a
65 KABUNDA JASON 21166919
𝐸 = 𝐸𝑜 ∗ sin(𝑘 ∗ 𝐷 − 𝜔 ∗ 𝑡) ∗
𝑠𝑖𝑛[𝑘 ∗ 𝑎 ∗ sin (𝜃)/2]
𝑘 ∗ 𝑎 ∗ sin (𝜃)/2
Variables: 𝑡, 𝜃 𝑎𝑛𝑑 𝜔
66 IBRAHIM AHMED 21172413
𝐸𝑦 =
𝑞
4 ∗ 𝜋 ∗ 𝜀𝑜
∗ (
1
(𝑦 − 𝑑/2)2
−
1
(𝑦 + 𝑑/2)2
)
Variables: y, q and d
67 AZARIAH SHABBANI 21169398 𝑃 = 𝑉 ∗ 𝐼 ∗ cos(∅) ∗ 𝑐𝑜𝑠2(𝜔 ∗ 𝑡) − 𝑉 ∗ 𝐼 ∗ sin(∅) ∗ cos(𝜔 ∗ 𝑡) ∗ sin(𝜔 ∗ 𝑡)
Variables: 𝑡, 𝜔, 𝑉 𝑎𝑛𝑑 ∅
68 KASAKULA MAMWE 21161371 𝑦 = 𝐴 ∗ cos (2 ∗ 𝜋 ∗ 𝑓 ∗ (
𝑥
𝑣
− 𝑡))
Variables: 𝑡, 𝑓, 𝑥 𝑎𝑛𝑑 𝑣
69 DELGRACIOUS TIMBA 21168679
𝑞 = 𝐴 ∗ 𝑒
−(
𝑅
2∗𝐿
)𝑡
∗ 𝑐𝑜𝑠 (√
1
𝐿 ∗ 𝐶
−
𝑅2
4 ∗ 𝐿2
∗ 𝑡 + ∅)

16. 70 MUTALE KANGWA 20147392
𝐸 = 𝐸𝑜 ∗ sin(𝑘 ∗ 𝐷 − 𝜔 ∗ 𝑡) ∗
𝑠𝑖𝑛[𝑘 ∗ 𝑎 ∗ sin (𝜃)/2]
𝑘 ∗ 𝑎 ∗ sin (𝜃)/2
Variables: 𝑡, 𝜃 𝑎𝑛𝑑 𝜔
71 CHEELO HIMOONGA 21169633 𝑦 = 𝐴 ∗ 𝑒−𝑏∗𝑡
∗ sin (𝜔 ∗ √1 − 𝛿2 ∗ 𝑡)
Variables: 𝑡, 𝜔, 𝑏 𝑎𝑛𝑑 𝛿
72 HAGUTA LWINI 12137071
𝐶 =
𝜋 ∗ 𝜀 ∗ 𝐿
𝐿𝑛 [
𝑑
𝑟
+ √(
𝑑
𝑟
)
2
− 1]
Variables: 𝑑, 𝑟 𝑎𝑛𝑑 𝐿
73 MOSES FUMBESHI 21163845 𝑦 = (2 ∗ 𝐴(sin(𝑘 ∗ 𝑥)) ∗ sin (𝜔𝑡)
Variables: 𝑥, 𝑤 𝑎𝑛𝑑 𝑡
74 KENFIELD WATSON
KANDESHA
21164747
𝑖 = (
𝐸
𝑅
) ∗ [1 − 𝑒−𝛽∗𝑡
∗ ((2 ∗ 𝜔 ∗ 𝑅 ∗ 𝐶)−1
∗ sin(𝜔 ∗ 𝑡) + cos (𝜔 ∗ 𝑡))]
Variables: 𝑡, 𝜔 𝑎𝑛𝑑 𝑅

17. 75 MWABU PETER 21165695
𝐼 = 𝐼𝑜 ∗ [
sin (𝜋 ∗ 𝑎 ∗ sin (𝜃)/𝐿)
𝜋 ∗ 𝑎 ∗ sin (𝜃)/2
]
2
Variables: 𝜃, 𝑎, 𝑎𝑛𝑑 𝐿
76 JOSEPH SILWIMBA 21165046
𝑡 =
√ℎ1
2
+ 𝑥2
𝑉1
+
√ℎ2
2
+ (𝐿 − 𝑥)2
𝑉2
Variables: 𝑥, ℎ1 𝑎𝑛𝑑 ℎ2
77 RICHARD MULENGA 21165483
𝑉 =
√
2 ∗ 𝑔 ∗ ℎ
(
𝐴1
𝐴2
)
2
− 1
Variables: ℎ, 𝐴1 𝑎𝑛𝑑 𝐴2
78 CHRISPINE CHUNGU 21171100 𝑃 = 𝑉 ∗ 𝐼 ∗ cos(∅) ∗ 𝑐𝑜𝑠2(𝜔 ∗ 𝑡) − 𝑉 ∗ 𝐼 ∗ sin(∅) ∗ cos(𝜔 ∗ 𝑡) ∗ sin(𝜔 ∗ 𝑡)
Variables: 𝑡, 𝜔, 𝑉 𝑎𝑛𝑑 ∅
79 MULENGA RONTYA 21170169
𝑞 = 𝐴 ∗ 𝑒
−(
𝑅
2∗𝐿
)𝑡
∗ 𝑐𝑜𝑠 (√
1
𝐿 ∗ 𝐶
−
𝑅2
4 ∗ 𝐿2
∗ 𝑡 + ∅)
Variables: 𝑡, 𝐿 𝑎𝑛𝑑 ∅
80 BANDA CHRISTINE 21171050 𝑦 = 𝐴 ∗ 𝑒−𝑏∗𝑡
∗ sin (𝜔 ∗ √1 − 𝛿2 ∗ 𝑡)

18. Variables: 𝑡, 𝜔, 𝑏 𝑎𝑛𝑑 𝛿
81 LUSAYO SIMBEYE 21159654 𝑦 = (2 ∗ 𝐴(sin(𝑘 ∗ 𝑥)) ∗ sin (𝜔𝑡)
Variables: 𝑥, 𝑤 𝑎𝑛𝑑 𝑡
82
SINKENDE MANDA 21172469
𝑉 =
√
2 ∗ 𝑔 ∗ ℎ
(
𝐴1
𝐴2
)
2
− 1
Variables: ℎ, 𝐴1 𝑎𝑛𝑑 𝐴2
83 VICTOR MUSUKU
CHISHALA
21170113
𝐸 =
𝑚 ∗ 𝐶2
√1 −
𝑣2
𝑐2
Variables: 𝑣, 𝑚 𝑎𝑛𝑑 𝑐
84 KULELWA LAMYA 21164075
𝑞 = 𝐴 ∗ 𝑒
−(
𝑅
2∗𝐿
)𝑡
∗ 𝑐𝑜𝑠 (√
1
𝐿 ∗ 𝐶
−
𝑅2
4 ∗ 𝐿2
∗ 𝑡 + ∅)
Variables: 𝑡, 𝐿 𝑎𝑛𝑑 ∅
85 DANIEL CHISHALA 21168494 𝑦 = 𝐴 ∗ 𝑒−𝑏∗𝑡
∗ sin (𝜔 ∗ √1 − 𝛿2 ∗ 𝑡)

19. Variables: 𝑡, 𝜔, 𝑏 𝑎𝑛𝑑 𝛿
86 DAKA MEKI 20147008
𝐸𝑦 =
𝑞
4 ∗ 𝜋 ∗ 𝜀𝑜
∗ (
1
(𝑦 − 𝑑/2)2
−
1
(𝑦 + 𝑑/2)2
)
Variables: y, q and d
87 CECILIA KANENGO 21172055
𝐸 = 𝐸𝑜 ∗ sin(𝑘 ∗ 𝐷 − 𝜔 ∗ 𝑡) ∗
𝑠𝑖𝑛[𝑘 ∗ 𝑎 ∗ sin (𝜃)/2]
𝑘 ∗ 𝑎 ∗ sin (𝜃)/2
Variables: 𝑡, 𝜃 𝑎𝑛𝑑 𝜔
88 MAPESHA M SIKALIMA 21163852
𝑉 =
1
4 ∗ 𝜋 ∗ 𝜖𝑜
∗
𝑄
2 ∗ 𝑎
∗ 𝐿𝑛 (
√𝑎2 + 𝑥2 + 𝑎
√𝑎2 + 𝑥2 − 𝑎
)
Variables: 𝑥, 𝑎 𝑎𝑛𝑑 𝑄
89 STEIN NUNDWE 21168586
𝑔 =
𝐺 ∗ 𝑀𝐸
(𝑅𝐸 + ℎ𝑜𝑟𝑏𝑖𝑡)2
Variables: ℎ𝑜𝑟𝑏𝑖𝑡 , 𝑅𝐸 𝑎𝑛𝑑 𝑀𝐸