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Code No: S202 OR

I B.Tech.(CCC) Supplimentary Examinations, December 2008MATHEMATICS-II

( Common to Civil Engineering, Electrical & Electronic Engineering,Mechanical Engineering, Electronics & Communication Engineering and

Computer Science & Engineering)Time: 3 hours Max Marks: 100

Answer any FIVE QuestionsAll Questions carry equal marks

1. (a) Find the directional derivative of 2xy+z2 at (1, -1, 3) in the direction ofi + 2

j + 3

k

(b) Show that the vector field F = rr3

is irrotational as well as solenoidal. Findthe scalar potential. [8+12]

2. (a) Find Fourier transform of f(x) defined by

f(x) = ex

2

2 , < x

8/2/2019 s202 Mathematics II Set1

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Code No: S202 OR

7. Calculate the coefficient of correlation for the following data:

x 2 4 6 8 10 12 14y 4 2 5 10 4 11 12

Obtain the two lines of regression and estimate y when x=9. [20]

8. (a) The probability density function of the random variable X follows the proba-bility law.P (x) = 1

2exp

1x1

, < x