mathematical reasoning

1. Determine the truth values of the following statements, if the domain for all variables is the set of real numbers: a) xy(x2=y2x=y). b) xy(x=y2). c) x(x=0y(xy3=1)). d) xy(y=0xy=1). e) xy!z(z2=x2+y2). 1. Determine the truth values of the following statements, if the domain for all variables is the set of real numbers: a) xy(x2=y2x=y). b) xy(x=y2). c) x(x=0y(xy3=1)). d) xy(y=0xy=1). e) xy!z(z2=x2+y2)