Find x, if: `(ii)2^(sqrt(x+3)=16`

Find x, if : sqrt(2^(x+3)) = 16

Find the term independent of x in the expansion of the following binomials: (ii) ( sqrt((x)/(3) ) - sqrt(3)/(2x ))^(12)

Using properties of proportion, solve for x : (i) (sqrt(x + 5) + sqrt(x - 16))/ (sqrt(x + 5) - sqrt(x - 16)) = (7)/(3) (ii) (sqrt(x + 1) + sqrt(x - 1))/ (sqrt(x + 1) - sqrt(x - 1)) = (4x -1)/(2) . (iii) (3x + sqrt(9x^(2) -5))/(3x - sqrt(9x^(2) -5)) = 5 .

Find the domain of f(x)=sqrt(sinx)+sqrt(16-x^2)

Find the domain of f(x)=sqrt(sinx)+sqrt(16-x^(2)).

Find the domain of f(x)=sqrt(sinx)+sqrt(16-x^2)

Find the domain of f(x)=sqrt(x^(2)-|x|-2)+sqrt(-x^(2)+16)

Find the derivatives of (i) x^(9) , (ii) x^(-3) , (iii) 3sqrt(x) , (iv) 1/(sqrt(x))

Find k if line y = sqrt(3)x + k touches the circle x^(2) + y^(2) = 16.