What are the differences in data transmission speeds and costs between LAN, MAN, and WAN, and how do these differences influence their applications?

What is the function of a Modem in enabling Internet access, and how does it handle the conversion of data between digital and analog formats?

Write a C Program to Concatenate Two Strings Without Using strcat() function

Write a program to apply sorting in a set of integers.

Write a C program to search an element in an array of integers using sequentialsearch.

Discuss the types of personal computers and elaborate its features. Explain the classification of software's and provide an example each.

Describe the different types of ports in a basic computer. Explain any 5 types of output devices with its specific function.

Explain the working principle of a magnetic disk with a diagram. Define the terms (i) seek time (ii) search time (iii) Access time

Briefly explain the sub cycles involved in execution of a machine instruction. Write notes on various registers in CPU.

Convert the following numbers to relevant number systems

i. Convert the binary number (1101)2 to a decimal number

ii. Convert the octal number (22)s to a decimal number

iii. Convert the hexadecimal number (121)16 to a decimal number

iv. Convert the decimal number 456 to binary number.

Analyze the classification of computers with respect to speed and storage. Provide an example each. Explain different types of main memory with a suitable example. Discuss various file access methods.

Compare the first-generation computer with fifth generation computers. Give one example of each type.

Prove that

Reduce the equation

xy" + y' + xy = 0, x > 0

into Bessel's equation and hence write its general solution in terms of Bessel's functions.

Determine the solution of the undamped (forced vibrations) system mü + Ku = F_o cos wt, u(0) = 0, u(0) = 1 When, w ≠  

Use the method of Laplace transforms to find the solution of the initial value problem y" + 9y = 6 cos 3t, y(0) = 2, y'(0) = 0

In a certain isolated population p (t) the rate of population growth  is equal to , where k and ɛ are both positive constants. If p (0) = 1, then find the limiting population as t→ ∞.

Find the orthogonal trajectories of the family of circles x² + (y - c)² = c², where c is a parameter.

Find  and  for the function x² sin(y³)+xe^3z-cos(z²)=3y-6z+8