Hemchandracharya North Gujarat University 2006 B.Sc Computer Science 102 : Advance Mathematics - Question Paper

AA – 3402 Seat No.______
1st Year M. Sc. (CA & IT) exam
March / April – 2006
102 : Advanced Mathematics

Time : three Hours ] [ Total Marks :70


SECTION-1
1 (a) Do as directed: 6

(i) Define: subset
(ii) If A={1,2,3},b={2,3,4,5} and U={1,2,3,4,5,6,7,8,9,10}
(AUB)?=________.
(iii) Define: Determinant of order 2.
(iv) If f(x)=x2 + 2x then f(2) - f(0) =_________.
(v) Define: Limit of a function.
(vi) Define: Revenue and cost function.


(b) Do as directed: 6

(i) lim { two + 2x } =_________.
x->0 3x +4

(ii) lim ah -1 =___________ .
h

(iii) d (ex - xe ) =__________.
dx

(iv) d one =__________.
dx v x

(v) d (u · v) =_________.
dx

-1
(vi) a b =_________.
c d


2 (a) If A,B and 3 sets then prove that AU( BnC)=(AUB) n (AUC) 4

(b) ans the subsequent : 4

(i) If Rf ={3,8,13,18} of f(x)= 5x-2, obtain its Df .

(ii) If f(x) = one , x ? Z – {-1,0,1} , prove that f(x+1) – f(x-1)= two
x 1- x2

(c) ans the subsequent : 4

(i) Prove that one x yz
one y zx = (x-y) (y-z) (z-x)

Earning:   Approval pending.