BSc IT Sem II ATKT 2015 Applied Maths II Add Question Paper - Mumbai University | munotes

Questions asked in this paper

1. Q1 State and prove Duplication formula for Gamma
   • c. Show that 4 Q.3.solve any two = coshat then prove that L{coshat] = Solve by using convolution theorem Define Heavisides unit step function and find f(t) is periodic with period two
   • a.Find fourier
   • b.Find fourier series of f(x). = 1] c, Find fourier series of f(x) = sinx
2. Q5 solve any two
   • a.Evaluate dydz + y +2) dxdydzover the positve octant of sphere
   • c.Show that ax =
   • d.Find when R is the.region bounded by =
   • a.Evaluate where C is the circle
   • b. at those singular point which lie inside
   • c. Find the bilinear transformation that maps(1,i,-1) to (2,i,-2) plane to w plane Find the image of under the mapping of 2
3. Q7 solve any three
   • a. Prove that =
   • e. Find the Fourier series for State and prove Residue theorem. Also define analyitc function

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