1) Plot the graph of y = x3- 2 in the range -10 ≤ x ≤ 10 Name the axes and add a title.
2) Differentiate with respect to x
y = x2Sin(2x) + In (x)
3) Integrate
0∫2Π 2x3 - Sin(x)dx
4) Present value of an ordinary annuity payment is given by
PV = P [1-(1+i)-n/i]
Where PV= Present Value, P=Payment per period, r=interest rate and n=number of years.
Write a program to output he Present Value when different values for P, i and it is given in the command window. Use a .m file
5) Below is the sales matrix for a particular sales organization for the month of June.
| Code |
Number of Items |
Sales Amount(5) |
| 1 |
120 |
800 |
| 2 |
80 |
560 |
| 3 |
55 |
450 |
| 4 |
90 |
900 |
| 5 |
75 |
200 |
| 6 |
120 |
350 |
| 7 |
100 |
490 |
| 8 |
100 |
820 |
| 9 |
60 |
780 |
| 10 |
65 |
750 |
| 11 |
75 |
940 |
| 12 |
50 |
900 |
| 13 |
70 |
480 |
| 14 |
110 |
880 |
| 15 |
108 |
730 |
| 16 |
72 |
750 |
| 17 |
100 |
500 |
| 18 |
110 |
220 |
| 19 |
65 |
340 |
| 20 |
95 |
85D |
| 21 |
106 |
280 |
| 22 |
124 |
600 |
| 23 |
89 |
450 |
| 24 |
93 |
320 |
| 25 |
132 |
650 |
a) Write the table in matrix form and find the value of total June Sales
b) Find the average number of items sold in June and round it off to the nearest integer.
6) Write a function where a user can input "Number of units sold' and the "Total Value of Sales". Then the commission is calculates as below
| Units Sold(x) |
Commission Rate |
| X ≥ 600 |
0.5 |
| 300 ≤ x ≤ 600 |
0.3 |
| X ≤ 300 |
0.1 |
Commission amount = Total Value of Sales'Commission Rate
Finally display the Salary as Total Value of Sales and Commission amount.
7) Generate a 5x8 matrix of random numbers and next write a programme using "for" and "if" loops to replace numbers less than 0.5 with "0" and numbers 0.5 or above with 1.