Mathematical

Mathematical assignment help

LO1: Understand the main mathematical skills for software engineers
A1) Solve the following linear and quadratic equations:
(i) 2 (3 - 5x) = 15
(2 * 3) - (5x X 2) = 15
6-10x is equal to 15
6-15 = 10x
-9 = 10x
X = -0.9


(ii) x2 + x -20 = 0
x2 + 5x-4x -20 = 0
x (x + 5) - 4 (x + 5) = 0
(x - 4) (x + 5) = 0
x - 4 = 0 or x + 5 = 0
x = 4 or x = -5


A2)
(i) y = 2x; y = -2x + 1
y = 2x and y = -2x + 1
2x = -2x + 1
4x = 1
X = 0.25
And y = 2x
That's why Y = 2 * 0.25
Y = 0.50

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(ii) y = 5x + 1; y = x5x + 1
y = 5x + 1 and y = -5x + 1
-5x + 1 = 5x + 1
1-1 = 5x + 5x
10x = 0
X = 0 and y = 5x + 1
Y = 5 * 0 + 1
Y = 0 + 1 = 1
Y = 1 and X = 0


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-6y = 3x - 4; 2y = x + 5
3x + 6y = 4 and x = 2y-5
3 (2y-5) + 6y = 4
6y-15 + 6y = 4
12y = 19
Y = 19/12 = 1.58 and x = 2y-5
X = 2 * 2 * 19/12 - 5
X = 19/12 - 5
X = -1.83

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A cube on one side, 27 meters long
Volume of a cube = a3
= (27) 3 = 27 x 27 x 27 = 19683 m2
Therefore, the volume of a cube is 19683m2.

One area with 20 inches

Where = 22 = 22/7
V = 4/3 * 22/7 * 20 * 20 * 20
V = 33523.80 cubic inch



A4) Using the Pythagoras theorem, is the evidence that the triangle? ABC (9:12:15) is a right-angled triangle
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Calculate the sign, cosine and tangent for each angle of ABC.
Sin A = opposite side / hypotenuse = 12/15 = 4/5
Cos A = adjacent side / hypotenuse = 9/15 = 3/5
Tan A = opposite side / adjacent side = 12/9 = 4/3

Sin C = opposite side / hypotenuse = 9/15 = 3/5
Cos C = Expository / Karna = 12/15 = 4/5
Tan C = Opposite side / Karna = 9/12 = 4/3

Sin B = opposite side / hypotenuse = 1
Cos B = the adjacent side / hypotenuse = 0
Tan B = opposite side / hypotenuse = undefined
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Using a suitable Excel function, displays on a spreadsheet that ABC is a right-angled triangle.
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Pythagoras theorem includes mathematical cipher help, online signage assistance, assignment assistance uk
9X9 + 12X12 = 15X15
81 + 144 = 225
225 = 225
Hence it is proof that triange ABC is a right angled triangle.

A5) Two robots, Alice and Bob are pulling a box as shown in the picture:
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a) Calculate the vector c = a + b.
C = (13,20) + (5, -6)
C = (13 + 5, 20-6)
C = (18,14)

B) Calculation of Vector C Quantity
Magnitude of vector c = <x, y>
C = <18,14>

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| C. = SQLT (18 * 18 + 14 * 14) = SQLT (1040) = 22.80

c) Write a Pseudocode to calculate the magnitude of the vector c.
Algorithm: magnitude ofVector (x, y)
Objective: The magnitude of a vector whose two components are given
PRE: Given both components of the vector
Post: None
Return: Quantity
{
Dimensions = sqrt (x * x + y * y)
Return amount
}



LO2: Understand Application of Algebraic Concepts
B1) There are three departments in a fixed British company. The following sets are showing the department, surname and annual salary of this company's employees:
A = {Martin, Marriott, Boost, Preston, Brace}

B = {24k, 25k, 26k, 27k, 30k}

C = {production, sales, finance}

Mr Martin and Mrs. Marriott are working in the production department, Mrs. Boost and Mrs. Preston work in the sales department and Mr.Cance works in the Finance Department.

Find a set of A and Set B cartesian product (R = A × B)
Cartesian of a product (R = A XB)

= {Martin, Marriott, Boost, Preston, Brace} X {24k, 25k, 26k, 27k, 30k}, = {Martin, 24k}, {Martin, 25k}, {Martin, 26k}, {Martin, 27k} {Bo, 25k}, {Boast, 25k}, {Boast, 25k}, {Marriott, 25k}, {Marriott, 26k}, {Marriott, 27k}, {Boat, 25k}, {Boast} , 26k}, {Boast, 27k}, {Preston, 24k}, {Preston, 25k}, {Preston, 26k}, {Preston, 27k}, {Preston, 30k}, {Kans, 24k }, {Arc, 25k}, {arc, 26k}, {arc, 27k}, {arc, 30k}

Find the natural connectivity of R and C.
= (Production, Martin, 24K), (Production, Marriott, 25K), (Sales, Boost, 26K), (Sales, Preston, 27K), (Finance, Cannes, 30K)

Fill out the information provided in the table below:
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B2) In a small ICT firm, there are three branches

1. Redbridge, 2. Enfield and 3. Barnett.

Five technicians with the following details are working in this company;

Ali (Location: Barnett, Age: 25, Salary: £ 21,000), Steve (Location: Redbridge, Age: 45, Salary: 23,000), Mike (Location: Enfield, Age: 50, Salary: 19,000), Linda (Location: Barnett, age: 55, salary: 24,000), Carol (Location: Redbridge, Age: 43, Salary: 27,000)



Draw the required number of tables and fit into the above information.
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List the people who meet the conditions below:
1. (age <46) and (salary> £ 23,000)

{} Carroll

2. (Age> 26) or (salary <£ 24,000)

Steve, Mike, Linda, Carroll, Ali

3. (Age <53) and (Pay> 29) or (Location = 1)

Steve, car

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