PTU B.Tech Electrical 1st Year Paper 2012 Engineering Mathematics

PTU B.Tech Electrical 1st Year Paper 2012 Engineering Mathematics Punjab Technical University Exam 2012 1st Year Engineering Mathematics Test September and March Question Paper Free Download Punjab Technical University Engineering Mathematics Question Papers 2012 PTU B.Tech Electrical 1st Year Question Paper 2012 for all students Previous Year old Past Papers of PTU B.Tech Electrical 1st Year Paper 2012 Engineering Mathematics Punjab Technical University September 2012 and March 2012 Exam B.Tech Electrical 1st Year Sample Model Question Papers Free Download PDF

 Engineering Mathematics

 a) Find root mean square value of f(x) = x2 in the interval (2, 3).
b) Find the total derivative of z = tair’ (xly) where (x, y)  (0, 0).
c) Explain the Lagrange’s method of multipliers for maxima and minima.
d) Define point of inflexion.
e) Using differentials, find the approximate value of j(298)2 + (401)2
f) Write equation of hyperboloid of one sheet and draw its rough sketch also.
g) Define Beta and Gamma functions.
h) Define convergence, divergence and oscillation of infinite series.
i) Write Leibniz’s nile of convergence of alternating series.
j) Prove that i = e

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