Let f be the function defined below on the given region r, and let p be the partition p=p1×p2. find lf(p). f(x, y)=2x−3y r:0≤x≤1,0≤y≤1 p1=[0,14,12,34,1],p2=[0,13,23,1]

1- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis.2- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in the first question?