BTEC HND Assignment: Mathematics for Software Development (L4)

This document presents a solved assignment on Mathematics for Software Development, likely for a BTEC HND in Computing program. The assignment covers core mathematical skills essential for software engineers, including solving algebraic equations, quadratic expressions, geometric problems involving hypotenuses and areas, and vector calculations. It also delves into relational algebra, functions, and set theory. Additionally, the solution addresses statistical concepts such as mean, median, mode, range, standard deviation, and variance, along with probability calculations. Flowcharts and pseudo-code are included to illustrate logical processes. This comprehensive solution provides valuable insights and guidance for students studying mathematics in the context of software development. Desklib offers a wealth of similar resources, including past papers and solved assignments, to support students in their academic endeavors.

Title
Name of Student
Name of Professor
Name of Class
Day Month Year
1

LO1: Understand core mathematical skills for software engineers.
1.
a) 6x- b= c, b= 15 and c= 45
6x- 15= 45
6x= 45+15
6x=60
X=10
-1 0 1 2 3 4
-2
-1
0
1
2
3
4
5
Column1
2

b)
ax2+bx+c= 0, a= 1, b= -9 and c= 20
x2- 9x+ 20=0
x= {-b+ square root [(b*b)-(4ac)]}/2a
x= {(-9*-1) +square root [(-9*-9) - (4*1*20)]}/ (2*1)
x= {(9) + square root [(81) - (80)]}/2
x= {(9) + square root (1)}/2
x= [(9) + (1)]/2
x= (10)/2
x=5
Or
x= [(9) - (1)]/2
x= (8)/2
x= 4
IN A GRAPH OF A QUADRATIC EXPRESSION
3
START
b, c
6x – b= c
X= (c + b)/6
X
STOP

Y= ax2 + bx + c
Y= x2 - 9x + 20
X Y
-3 56
-2 42
-1 30
0 20
1 12
2 6
-3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 0.5 1 1.5
0
10
20
30
40
50
60
Y-Values
Y-Values
4

c)
xx
2.
5
START
a, b, c
ax2 + bx + c= 0
x=−b ± √b2−4 ac
2 a
If roots=
noncomp
lex?
Yes
No
X= [(b) + (root)]/2a or
X= [(b) – (root)] 2a
x
STOP
The roots are complex please
insert other numbers of a, b and
c

a)
H=square root (b2 + h2)
H= Hypotenuse, b= base and h= height
H= square root (242 + 72)
H= square root (576 + 49)
H= square root 625
H= 25cm
Length of the pole= 25 + 7
Length of the pole= 32m
b.
H= square root (C1 + C2)
H= square root (402 + 202)
H= square root (1600 + 400)
H= square root (2000)
H= 44.72
H= 45
Area= 1/2bh
A= Area, b= base and h= height A= 1/2 * 40*20 A= 400cm2
6
C1
C2
h

7
STOP
H, b, h
H= square root (b2 + h2)
b= square root (H2 – H2)
h= square root (H2 – b2)
Is H, h and b
are ≤?
H, h and b
STOP
Input values greater
than 0
Yes
No

c.
8
START
START
h and b
A= 1/2bh
Is b and h
greater
than
zero?
A
STOP
Input a value greater than zero
No
Yes

It is not possible to calculate the volume of a rectangle or a square this is
because their height is zero hence the program will keep on displaying
errors.
9
L, W, H
V= L * W* H
V
STOP
If
V= ≤0?
You cannot have zero or a negative
volume. Please check the values of L, W
and H to ensure they are greater than
zero.
No
Yes

3.
a)
F1= 15N, F1= 35N and R= 28N
Let P & Q be the two forces
Angle of inclination= ø
Resultant Force= R
R= square root [(P2) + (Q2) + (2PQCosø)]
Square both sides to remove the square root
282= [(152) + (352) + (2* 15 *Cos ø)
784= [225 + 1225 + 1050 Cos ø]
784= 1450 + 1050 Cos ø
784- 1450= 1050 Cos ø
-666= 1050 Cos ø
-666/1050= Cos ø
-0.6343= Cos ø
Ø= Cos -1-0.6343
Ø= 129.37°
Ø= 129°
b)
10

11
START
X, Y, Z, X1, Y1, Z1
A=
X
Y
Z
-
X 1
Y 1
X 1
A=
X −X 1
Y −Y 1
Z−Z 1
Is X, Y, Z, X1,
Y1, Z1
containing
equal numbers
of column or
You cannot add matrices
that are not corresponding
A
STOP

12
START
X, Y, Z, X1, Y1, Z1
A=
X
Y
Z
+
X 1
Y 1
Z 1
A=
X + X 1
Y +Y 1
Z+ Z 1
A
STOP
You cannot add vectors
with different rows and
columns
IS X, Y, Z, X1, Y1, Z1
containing equal
numbers of rows and
columns?