Hemchandracharya North Gujarat University 2003 B.Sc Computer Science 102 : Advance Mathematics - Question Paper

(b) explain the continuity of a function 2

F(x) = { 2/5-x : x < three , five – x ; x = three
at point x = three





















(c) Find dy /dx 6
_______
(1) y = log(x + v x two - a two )

(2) y = (sin x)x

(2) y = e 3x – x sin x + x two /4
(d) obtain the maximum value of f(x) = x + 4/x. 2

OR

2 (a) Evaluate : 4

(1) lim x(ex - one )
x->0 -----------
1-cos x

(2) lim (1+ x)5 – one
x->0 --------------
x
(b) explain the continuity of a function : 2


F(x) = { |x| / x ; x ? 0 , one ; x = 0
at point x=0.



















(c) (1) If e4x + sin x + five then obtain d2 y/d x2 2
(2) x=cos?and y=bsin ? then obtain dy/dx 2
(3) If ylog x =x – y then prove that
Dy/dx=log/(1+logx)2
(d) The total cost function is 2

Earning:   Approval pending.