Answer to Question #66371 in Calculus for Manoj

Question

True or false, why? (1) the level curves of z=y/x are hyperbolas. (2) lim (x,y) tends to (0,0) x^2-y^2/x^2+y^2 does not exist. (3) the set {(x,y,z)/x>0,y>0,z<0} is domain in R^3. (3) the work done by the force F(x,y)=(-y,x) in moving a particle along the boundary of the ellipse 9x^2+4-y^2=36 is 6 (5) the function f(x,y,z) = e^xyz is integrable over [0,1]×[0,1]×[0,1].