PTU B.Tech Computer 3rd Sem Paper 2012 Mathematics

PTU B.Tech Computer 3rd Semester Paper 2012 Mathematics Punjab Technical University Exam 2012 3rd Sem Mathematics Test September and March Question Paper Free Download Punjab Technical University Mathematics Question Papers 2012 PTU B.Tech Computer 3rd Semester Question Paper 2012 for all students Previous Year old Past Papers of PTU B.Tech Computer 3rd Sem Paper 2012 Mathematics Punjab Technical University September 2012 and March 2012 Exam B.Tech Computer 3rd Semester Sample Model Question Papers Free Download PDF

 Mathematics

 a) State Taylor’s Expansion.
b) State and prove second shifting property of Laplace transforms.
c). Find the inverse Laplace transform of 2s/4s2 + 16.
d) State Cauchy’s integral theorem.
e) Show that function is not analytic at any point.
f) Write down one dimensional, two dimensional heat flow equations.
g) . Show that if z + I <1, z2 = 1+ :1 (n + 1) (z + I )n•
h) Find the length of the curve y = for 0  x  20.
i) State and prove sufficient condition for a function to be analytic.
j) Determine a,b,c,d so that functionf(z) = (x2+axy-i-bv2) + j (cx2-f-dxy+y2) is analytic.

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