If   `x/2 + x/3 + 1 le 4` , then the value of x

If   x/6 = 4/-3 , then the value of x is

If 0^@ le x le 90^@ and 1+tan^2 x - 2 tan x =0 , then the value of x is

Let the roots of the equation (3x^3-x^2+x-1)/(3x^3-x^2-x+1)=(4x^3+7x^2+x+1)/(4x^3+7x^2-x-1) be x_1 , x_2 and x_3 , then the value of x_1+x_2+x_3 is a.    0 b.    1 c.    -1 d.   None of these

If 1 le x le 3 and 2 le y le 4 , what is the maximum value of ((x)/(y)) ?

For 2 lt x lt 4 find the values of |x|. (ii) For -3 le x le -1 , find the values of |x|. (iii) For -3 le x lt 1, find the values of |x| (iv) For -5 lt x lt 7 find the values of |x-2| (v) For 1 le x le 5 find fthe values of |2x -7|

If f(x) is continuous in [-2,2], where f(x) = {((sinax)/(x)-2,",","for" -2 le x lt 0),(2x+1,",","for"0 le x le 1),(2bsqrt(x^(2)+3)-1,",","for" 1 lt x le 2):} , then the value of (a+b) is

If abx^2=(a-b)^2(x+1) , then the value of 1+4/x+4/x^2 is: a.     (a+b)/(a-b) b.     (a+b)^2/(a-b)^2 c.     (a+b)/(a-b)^2 d.     1

Let f(x) = " max " {3,x^(2),(1)/(x^(2))} for (1)/(2) le x le 2 . Then the value of integral int_(1//2)^(2)f(x) dx is

Let f(x) = -x^(3) + x^(2) - x + 1 and g(x) = {{:(min(f(t))",",0 le t le x and 0 le x le 1),(x - 1",",1 lt x le 2):} Then, the value of lim_(x rarr 1) g(g(x)) , is........ .