Describe the different types of ports in a basic computer. Explain any 5 types of output devices with its specific function.
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Explain the working principle of a magnetic disk with a diagram. Define the terms (i) seek time (ii) search time (iii) Access time
See Answer →Briefly explain the sub cycles involved in execution of a machine instruction. Write notes on various registers in CPU.
See Answer →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.
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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.
See Answer →Compare the first-generation computer with fifth generation computers. Give one example of each type.
See Answer →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.
See Answer →Determine the solution of the undamped (forced vibrations) system mü + Ku = Fo 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
See Answer →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.
See Answer →Find and
for the function x² sin(y³)+xe3z-cos(z²)=3y-6z+8
Find the first order partial derivatives
See Answer →Find 'c' of Cauchy's mean value theorem for the function f(x) = 2.ln(x) and g(x) = x²-1 in the interval [2,3].
See Answer →Verify means values theorem for the function f(x) = 4x³-4x in the interval [a,b], where a=0, and b=3.
See Answer →Explain why Lagrange's mean value theorem is not applicable to the following functions in the respective intervals: f(x) = 13x +11, x∈ [1,3].
See Answer →Can Rolle's theorem be applied to each of the following functions? Find 'c' in case it can be applied.
i. f(x) = sin2 x on the interval [0, π].
ii. f (x) = x² + 4 on [-2, 2].
iii. f(x) = sinx + cos x on
iv. f(x) = x³- 2x on [0, 1].
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