Answer to Question #122793 in Calculus for Pinku Kumar

Question

that means of the functions f /g where f x, y is equal to 2 x y and g x, y is equal to x square + y square is r square which statement is true or false give reason

Answer 1

$f(x,y) = 2xy, g(x,y) = x^2 + y^2$

for $\frac{f(x,y)}{g(x,y)}$ $= \frac {2xy}{(x^2 + y^2)}$

This function is defined at all values of x and y except $x=y=0$ .

So its domain cannot be $\R^2$ .