Paper for IETE AMIETE-ET/CS/IT (Old Scheme) Mathematics-I Exam

Provide me question paper for IETE AMIETE-ET/CS/IT (Old Scheme) Mathematics-I Examination ?

Here I am giving you question paper for IETE AMIETE-ET/CS/IT (Old Scheme) Mathematics-I Examination in PDF file attached with it so you can get it easily..

Q.2 a. State and prove Euler’s theorem.

Q.3 a. Find the maximum value of xm yn zp, given that x+y+z=a (8)
b. Expand ( ) y 1 log e e
x + in powers of x and y up to second degree terms. (8)

Q.4 a. Evaluate + dxdy ) y x ( xy , over the area between y=x2 and y=x

Q.7 a. Find the values of ‘a’ and ‘b’ for which the equations x+ay+z=3,
x+2y+2z=b, x+5y+3z=9 are consistent. When will these equations have a
unique solution? (8)

b. Define Hermitian and Skew-Harmitian matrices. Show that everysquare
matrix can be written as the sum of a Hermitian and Skew-Harmitian
matrices.

b. State and prove Radrigues formula. (8)

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