Let f(x) = `x^3 + x^2 + 100x + 7 sin x`, then equation `1/( y - f(1)) + 2/(y - f(2)) + 3/(y - f(3)) = 0` has

Let f(x)= x^3+3x^2+6x+2sinx , then the equation 1/(x-f(1))+2/(x-f(2))+3/(x-f(3))=0 ,has

Let Y = y(x) be the solution of the differential equation ( dy ) /( dx) + 2y = f(x) , where f(x) = { {:(1, x in [0,1]),( 0, " Otherwise "):} IF y(0) =0 then y ((3)/(2)) is :

Let Y = y(x) be the solution of the differential equation ( dy ) /( dx) + 2y = f(x) , where f(x) = { {:(1, x in [0,1]),( 0, " Otherwise "):} IF y(0) =0 then y ((3)/(2)) is :

If f(x,y) = 2x^(2) - 3xy + 5y^(2) +7 , then f(0,0) and f(1,1) is

Let f (x + y) = f(x) f(y) for all x, y, in R , suppose that f(3) = 3 and f '(0) = 2 then f '(3) is equal to-

Let f_1 (x,y)-=ax^2+2hxy+by^2=0 and let f_(i+1) (x,y)=0 denote the equation of the bisectors of f_i (x,y)=0 for all i=1,2,3,….. f_3 (x,y) =0 is

Let f be a one-one function such that f(x).f(y) + 2 = f(x) + f(y) + f(xy), AA x, y in R - {0} and f(0) = 1, f'(1) = 2 . Prove that 3(int f(x) dx) - x(f(x) + 2) is constant.

Let f be a one-one function such that f(x).f(y) + 2 = f(x) + f(y) + f(xy), AA x, y in R - {0} and f(0) = 1, f'(1) = 2 . Prove that 3(int f(x) dx) - x(f(x) + 2) is constant.