If `f(x)=cos^(-1)(x^((3)/(2))-sqrt(1-x-x^(2)+x^(3))),AA 0 le x le 1` then the minimum value of `f(x)` is

If f(x)=sin^(-1)(sqrt(3)/2x-1/2sqrt(1-x^(2))), -1/2 le x le 1 , then f(x) is equal to

Let f(x)=sin^(-1){xsqrt(1-x)-sqrt(x(1-x^(2))}}, AA 0le xle1 then f(x) is

if f(x) =[underset(-x " ", " " x gt 1) (-sqrt(1-x^(2))" "," " 0 le x le 1), then

Evaluate : cos^(-1)x+cos^(-1)[(x)/(2)+(sqrt(3-3x^(2)))/(2)]((1)/(2) le x le 1)

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 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