The value (s) of x for which `(dV)/(dx) =0` are: if V is `x^3+3x^2+3x+19=0`

The value of x for which ((x-1)(x-2))/((x-3))<=0

The values of 'a' for which int_0^(a) (3x^(2)+4x-5)dx lt a^(3)-2 are

The value of k for which f(x) = {((sin 5x)/(3x)","," if " x !=0),(" k,"," if " x = 0):} is contnuous at x = 0 is

If 0 le x le (pi)/(2) , then the number of value of x for which sin x - sin 2x + sin 3x = 0 , is

The value of x for which the equation 5*3^(log_(3)x)-2^(1-log_(2)x)-3=0

The set of values of x for which sinx.cos^3x>cosx.sin^3x "in" [0,2pi] ,is

The value of m for which one root of x^(2)-3x+2m=0 is double of one of the roots of X^(2)-X+m=0 is:

The true set values of 'a' for which the inequal- ity int _(a)^(0)(3^(-2x)-2.3^(-x)) dx ge 0 is true, is

The range of x for which (0.5)^(2-3x)<(2^(x))^(x)(0.25)^(x+4) is

The true set of values of 'a' for which the inequality int_(x)^(0)(3^(-2x)-2.3^(-x)) dx ge 0 is true , is