Foreachofthefollowingequations,determinewhichofthe following statements are true:

(1) For all real numbers x, there exists a real number y such that the equation is true.

(2) There exists a real number x , such that for all real num- bers y, the equation is true.

Note that it is possible for both statements to be true or for both to be false.

c. x2 2xy+y2 =0

d. (x5)(y1)=0

e. x2 + y2 = 1