Consider `E=(8sqrtx +5sqrt y)^y =1+f , 0 leq f lt 1`

Consider E=(8sqrt(x)+5sqrt(y))^(y)=1+f,0<=f<1

y = sqrt(1+sqrtx)

Consider the function f(x) =[(1-x,0 leq x leq 1),(x+ 2, 1 lt x lt 2),(4-x,2 leqxleq4)). Let lim_(x->1) f(f(x))= l and lim_(x->1) f(f(x))=m then which one of the following hold good ? (A) l exist but m does not (B) m exist but l does not (C) both exist (D) both does not exist

Given a function defined by y = f(x) = sqrt(4- x^(2)) 0 lt= x lt= 2 , 0 lt= y lt=2. Show that f is bijective function .

If f (x) = x (sqrtx+sqrt((x+1)) , then

The solution of y^(3) cos sqrtx dx - sqrtx e^(1//y^(2))dy = 0 is