Question

Let h(u,v)=ln⁡(n-u^2+v)+√(√v-u)  , Where n=557. Find its domain and sketch the Graph

Answer 1

We have given the function,

$h(u,v) = log(n-u^2+v) + \sqrt{{\sqrt{v-u}}}$ where $n = 557$

Domain of this function is

{$(u,v) \isin R^2 : u \le \sqrt v \hspace{3mm}and \hspace{3mm} u^2< v+557 \hspace{3mm}and \hspace{3mm}v \ge 0$ }

Range of the function is

{ $y \isin 6.88708 \le y \le 9.699$ }