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Find the square root of −5 − 12𝑖

Evaluate ∫f 𝑜𝑣𝑒𝑟 𝑐 where 𝑓( 𝑧 )= 𝑥^2 + 𝑖𝑦^2 where c is given by 𝑧 (𝑡 )= 𝑡^2 + 𝑖𝑡^2, 0 ≤ 𝑡 ≤ 1

Show that 𝑠𝑖𝑛𝑖𝑦 = 𝑖 𝑠𝑖𝑛hy

Using the Cauchy –Riemann equations verify the following is analytic or not


i) 𝑥^2 − 𝑦^2 + 2𝑖𝑥𝑦


ii) 𝑥^2 + 𝑦^2 − 2𝑖𝑥𝑦

1. Identify the type of market structure which you think operates in your selected industry. For example, is it ‘perfectly competitive’, ‘monopoly’, ‘monopolistic’ or ‘oligopolistic’. You should justify your answer by explaining how closely the industry operates in practice to the economic model of that market structure. Of KFC

       (9 marks)



A stone is thrown straight upward with a velocity of 30 m/s. What was its maximum height?, b) What is the time taken to reach the maximum height?, c) What is the velocity of the stone when it is 60 m from the ground? (Assume the ground as the initial frame of reference)

how many moles of water is 5.87 x 10^22 molecules ?


Write a program that will ask the user to enter a digit character (i.e. ‘0’ or ‘1’ .... or ‘9’). If user

enters a non-digit character then the program should display message to re-enter correct input.


A man takes a job for 30 days. His pay for the first day is calculated as square

of his joining date. Assume he’s

joining on 3rd of the month, then his starting

pay is Rs 9/. After that his pay for the consecutive days are twice the pay of

previous day .i.e. each day’s pay is twice the pay of previous day. Write a c

program using functions to find his total pay for 3

0 days.



An online retailer sells five different products, whose retail prices are shown in

the following table:

Product number

Retail price

1

$2.98

2

$4.50

3

$9.98

4

$4.49

5

$6.87


Write a C program that reads a series of pairs of input as follows:

a.

Product number

b.

Quantity sold for one day

Write a program to help and determine the retail price for each product. Calculate

and display the total retail

value of all produ



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