Hemchandracharya North Gujarat University 2006 B.Sc Computer Science 102 : Advance Mathematics - Question Paper
Tuesday, 22 January 2013 11:30Web
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0 four three
(ii) If A = one -3 -3 then prove that A2 = I .
-1 four four
OR
2 (a) If A={x | x ? N, x3-2 = 25} , B={y y ? N, one < y <5} , 4
C={z z ? N, z4 = 81} then verify the An(BnC) U (AnC) .
(b) Answer the subsequent : 4
(i) If f(x)= x(x+1) (2x+1) then prove that f(x)-f(x-1)=6x2 .
(ii) obtain adjoint of the metrix , A= two -5 .
seven nine
(c) Answer the subsequent : 4
(i) obtain lim x -2 + 3x -3
x->8 5x -2 + 7x -4
(ii) obtain lim v x2 + 5x – x .
x->8
3 (a) If y = log ( 3x+4 ) e 2x+3 obtain dy . 4
dx
(b) Find dy
dx
(i) xy = yx
(ii) y = xex
one -1 one one then prove that 4
(c) If A= two -1 , B= four -1
(A + B)2 = A2 + B2 .
OR
3 (a) obtain lim ( x+2 )3/2 – ( a+2 )3/2 4
x->1 x – a
(b) obtain the subsequent : four
Earning: Approval pending. |