Module ENG 1024

Module ENG 1024

Table of Contents

Question 12

Question 1 (A)2

Question 1 (B)4

Question 25

Question 35

XY Scatter Plot5

Question 47

(i)Upto two decimal places8

(ii)Up-to four significant figures9

Question 59

Y= ax^2 +bx +c (eq 1)9

Z = ½ ax^2 +3bx (eq 2)9

Question 6 Factorize12

(i) 2x^2 - 212

(ii) 3x^2 -7x +212

(iii) 2x^2 + 6x + 412

(iv) x^2 - 4x -512

Question 713

(i) ln (2^2. x^2. y^3)13

(ii) 13

(iii)13

(iv) 13

Module ENG 1024

Question 1

Question 1 (A)

By Arithmetic

According to BODMAS rule, we have to calculate the divide first, then multiply and then proceed with the addition.

After division the equation becomes

2x4+6+4+2+4

Now multiplication takes place

8+6+4+2+4

After adding our answer is 24

By Calculator

By entering the question as it is, the answer is 12

By arithmetic

First we will divide, although if the figures multiplying and dividing together, they tend to result in the same answer. We will get the following statement,

5 x 3x 3+5-2

Now we will execute multiplication,

45+5-2

Now we will execute addition

50-2 = 48

The answer by arithmetic is 48.

By calculator

Running the statement as is in calculator will give us the answer = 48

By Arithmetic

First we will divide, although if the figures multiplying and dividing together, they tend to result in the same answer. We will get the following statement,

4x5+7

Now we will execute multiplication,

20+7

Now we will execute addition

The answer by arithmetic is 27.

By calculator

Running the statement as is in calculator will give us the answer = 27

2+8

By Arithmetic

First we will divide; We will get the following statement,

2+1.6

Now we will execute addition,

The answer by arithmetic is 3.6

By calculator

Running the statement as is in calculator will give us the answer = 2

Comparative Analysis

The answer (i) and (iv) donot match while the answers of (ii) and (iii) match.

The reason for not matching is due to arithmetic operator precedence. As per BODMAS rules, the divide and multiply take precedence over addition and subtraction. Since in (ii) and (iii) have multiplication before addition and subtraction, the answers calculated using calculators matched. In calculation, whether we do division or multiplication before on another, the answer will be the same. When we add before or after subtract, it doesn't change the answer.

Question 1 (B)

Rewritten as:

Rewritten as:

Rewritten as:

2+8

Rewritten as: (2+(8))

Question 2

I =

Question 3

XY Scatter Plot

X

F1

F2

F1-F2

-0.25

1.15625

1.13153

0.02472

-0.249

1.155003

1.133989

0.021014

-0.248

1.15376

1.136459

0.017301

-0.247

1.152523

1.13894

0.013582

-0.246

1.15129

1.141433

0.009857

-0.245

1.150063

1.143938

0.006124

-0.244

1.14884

1.146455

0.002385

-0.243

1.147623

1.148983

-0.00136

-0.242

1.14641

1.151522

-0.00511

-0.241

1.145203

1.154073

-0.00887

-0.24

1.144

1.156636

-0.01264

-0.23

1.13225

1.182881

-0.05063

-0.22

1.121

1.210226

-0.08923

-0.21

1.11025

1.23863

-0.12838

-0.2

1.1

1.268054

-0.16805

-0.1

1.025

1.608626

-0.58363

0

1

2

-1

0.1

1.025

2.391374

-1.36637

0.2

1.1

2.731946

-1.63195

0.3

1.225

2.975613

-1.75061

0.4

1.4

3.085241

-1.68524

0.5

1.625

3.036139

-1.41114

0.6

1.9

2.81841

-0.91841

0.7

2.225

2.437983

-0.21298

0.71

2.26025

2.391688

-0.13144

0.72

2.296

2.343998

-0.048

0.721

2.299603

2.339153

-0.03955

0.722

2.30321

2.334295

-0.03108

0.723

2.306823

2.329423

-0.0226

0.724

2.31044

2.324538

-0.0141

0.725

2.314063

2.319639

-0.00558

0.726

2.31769

2.314726

0.002964

0.727

2.321323

2.3098

0.011522

0.728

2.32496

2.304861

0.020099

The Solution is -0.243 and 0.726. Question 4

Rax = -30 . 10-3 m

Rbx = -30 . 10-3 m

Ray= 15.10-3 m

Rby = -60.10-3 m

0.0495

K1 = 1.17

W = 50N

E' = 2.308. 1011

Calculating the value of A

Upto two decimal places

A = (3.1428) (1.727) (1.299) (10^12)

For two decimal places the, the answer will be A = 7.05. 10^12

Up-to four significant figures

For four significant figures, our answer will be

Significant figures and decimal places specify the precision in the figures. In engineering if we specify our requirements with very high precision then the supplier may not be able to calibrate the measurement of the product accordingly.

From the two answers, the one with four significant figures is very precise and will yield the required precision in the AREA of the product while the two decimal places will reduce the AREA. If the measurement of such precision is ...