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.