TUTORIAL 1
NAME:
STUDENT NUMBER:
CHEMICAL ENGINEERING
CMAP201-TUTORIAL 1
CT PILLAY
21910221
QUESTION 1
Circular referencing-A formula in a cell that directly or indirectly refers to its own cell. For example:
1
5
The formula in cell A10, adds the answer in its own cell to itself, which provides an answer of 0,if circular referencing is accepted.
A8+A9+A10
QUESTION 2.1
sinx + cosx
f(x)=sinx + cosx
1,4
x
1
1,3817733
1,1700877
1,3108557
1,2234284
1,2806961
1,2442635
1,2679212
1,2527486
1,2625605
sinx + cosx
1,38177329
1,1700877
1,31085575
1,22342838
1,28069613
1,24426346
1,26792119
1,25274859
1,26256053
1,25624832
QUESTION 2.2
x
sinx + cosx
1,259
1,259
1,35
1,3
1,25
1,2
1,15
0
2
4
6
8
10
12
QUESTION 3.1
y=x.ex
x
y
1
1,1
1,2
1,3
1,4
1,5
1,6
1,7
1,8
2,718282
3,304583
3,98414
4,770086
5,67728
6,722534
7,924852
9,305711
10,88937
QUESTION 3.2
y=x.e x
x
y=x.e x
1,745527
y
10
-8,8E-06
QUESTION 4.1
ln(1+x 2)=e -x
Value of variable
x
0,768222
ln(1+x 2)-e -x =0
Equations
=LN(1+C7
8,2017E-07 ^2)-EXP(C7)
Constants
0
QUESTION 4.2
e x= x+2
Value of variable
x
0,447542
e x - x+2 =0
Equations
=EXP(C17
)-4,018E-07
SQRT(C17
+2)
Constants
0
QUESTION 5
V=
h
V=
1,44846
V
r
10
2
-1,9E-06
TUTORIAL 2
NAME:
STUDENT NUMBER:
CHEMICAL ENGINEERING
CMAP201-TUTORIAL 2
CT PILLAY
21910221
QUESTION 1.1
Graph of
y=
0,1
0,09
0,08
x
1
2
3
5
6
7
8
0,1
0,091186
0,083779
0,07747
0,072033
0,067302
0,063147
0,07
0,091185595
0,08377853
0,077469576
0,072033345
0,067301816
0,063147262
0,059470906
x-value
Iteration
0,06
0,05
0,04
0,03
0,02
0,01
0
0
2
4
y-value
QUESTION 1.2
Iteration
100
x
0,000265
0,000265051
6
8
QUESTION 2.1
a)
y=
y= 1/sinx
x
y
0,523627
1,999901
b)
y=
x
y
y=(1+x)/(2*x)
1,664845
0,800328
c)
y=
y=(lnx)/(x)
x
y
2,041986
0,349622
QUESTION 3
a)
QUANTITY
COST PER
OVERALL
VEHICLE
OF
CONVERTER
COST ( R )
CONVERTERS
(R)
BMW
AUDI
VOLVO
310,00
240,00
200,00
750,00
200,00
300,00
400,00
900,00
62000,00
72000,00
80000,00
214000,00
QUESTION 4
EQUATIONS
A
A-1
x 1 + 3x 2 - 2x 3 + 2x 4 - 2x 5
= 4
3x 1 + 2x 2 - x 3 + 3x 4 + x 5
= 12
2x 1 + 3x 2 - 3x 3 + 3x 4 - x 5
=1
x 1 - x 2 + 3x 3 - 4x 4 + 2x 5
=2
3x 1 + 4x 4 - 5x 5
= -5
1
3
2
1
3
3
2
3
-1
0
-2
-1
-3
3
0
2
3
3
-4
4
-2
1
-1
2
-5
-0,39583 -0,12083
0,5625
0,258333
0,125
x1
-2,579
0,729167 0,254167
-0,5625 0,008333
-0,125
x2
6,046
x3
7,133
-0,26667 -2,1E-17
x4
4,033
-0,05833
x5
2,679
0,666667 0,466667
-1
0,166667 0,366667
-0,5
-0,10417 0,220833
-0,0625
-0,06667
-3E-17
-0,125
B
X
4
12
1
2
-5
TUTORIAL 3
21910221 CT PILLAY-TUT 3-OCTAVE.txt