Answer to Question #74644 in Calculus for santhosh

Question

state whether the following statements are true or false. justify your answers.
1) lim x to 0 (1/x^2 -1/sin^2x)is in (0/0) form.
2) f(x,y)={sin(x^2y/x^3 +y^3)}/ln(x+y/x) is a homogeneous funtion of degree 2.
3) Domain of f(x,y)=xy/(x^4 +y^4) is R^2.
4) The funtion f(x,y)=(x^3y +1, x^2 +y^2) is locally invertible at (1,2).
5) The funtion f(x,y)=x^3 +y^3 is integrable on [1,2]*[1,3].