Engineering FE Engineering Common Sem 2 Applied Mathematics II May 2023 R19 Question Paper - Mumbai University | munotes

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Questions asked in this paper

(3) Figures to the right indicate full marks

(Time: 3 hours) Max Marks: 80
Note: (1) Question No. 1 is Compulsory
(2) Answer any three questions from Q.2 to Q.6
(3) Figures to the right indicate full marks
b) Solve (D* —4D + 4)y = + cos2x 5
ow that J, o ve
d) Change the order of the following integration 5
a) I = f | over the volume V bounded by
the spheres = a? andx? + b?,
b) that the length of the arc of the parabola y* = 4ax from the 6
vertex to the end of the latus rectum is alv2 + log(1 + v2)
c) Solve by using method of variation of parameters 8
Show that dx = <a <1. Hence
b) Evaluate I = over the area outside x* ++ y?-ax=0 6
and inside x* + — 2ax
Show that f 0 B =) , hence find the value of
a) Evaluate J = dxdy
b) the area inside the circle r = a and outside the cardioide 6
a) Solve (D? + 2)y = + xsin3x 6
c) Change the order of integration and evaluate 8

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