If x<0 , then `abs(x) ` is equal to

If f(x) = |(x + lamda,x,x),(x,x + lamda,x),(x,x,x + lamda)|, " then " f(3x) - f(x) =

If f(x) = |(1,x,x+1),(2x,x(x-1),x(x+1)),(3x(x-1),x(x-1)(x-2),x(x+1)(x-1))| , using properties of determinant, find f(2x) - f(x).

If f(x)=sgn(x)={(|x|)/x,x!=0, 0, x=0 and g(x)=f(f(x)), then at x=0,g(x) is

If f(x)=|[x-2, (x-1)^2, x^3] , [(x-1), x^2, (x+1)^3] , [x,(x+1)^2, (x+2)^3]| then coefficient of x in f(x) is

If f(x)= |1 x x+1 2x x(x-1)(x+1)x3x(x-1)x(x-1)(x-2)(x+1)x(x-1)| then f(500) is equal to a. 0 b. 1 c. 500 d. -500

int((x/e)^x+(e/x)^x)I nxdx= (a) (e/x)^x-(x/e)^x+c (b) (x/e)^x+(e/x)^x+c (c) (x/e)^x-(e/x)^x+c (d) None of these

If f(x)= |{:(1,,x,,x+1),(2x,,x(x-1),,(x+1)x),(3x(x-1),,x(x-1)(x-2),,(x+1)x(x-1)):}| then the value of f(500) "_____"

If f(x) =|(1,x,(x+1)),(2x,x(x-1),(x+1)x),(3x(x-1), x(x-1)(x-2),x(x-1)(x+1))| then f(50)+f(51)..f(99) is equal to

If f(x) defined by f(x)={(|x^2-x|)/(x^2-|x|),x!=0,1-1 . Then (A)f(x) is continuous for all x (B) for all x except x=0 (C) for all x except x=1 (D) for all x except x=0 and x=1

If f(x) defined by f(x)={(|x^2-x|)/(x^2-|x|),x!=0,1-1 . Then (A)f(x) is continuous for all x (B) for all x except x=0 (C) for all x except x=1 (D) for all x except x=0 and x=1