In part e, you proved that any pythagorean triple can be generated using the identity (x2 − y2)2 + (2xy)2 = (x2 + y2)2.
find the missing x- and y-values and pythagorean triples using the identity given.

Acompany produces packets of soap powder labeled “giant size 32 ounces.” the actual weight of soap powder in such a box has a normal distribution with a mean of 33 oz and a standard deviation of 0.7 oz. to avoid having dissatisfied customers, the company says a box of soap is considered underweight if it weighs less than 32 oz. to avoid losing money, it labels the top 5% (the heaviest 5%) overweight. how heavy does a box have to be for it to be labeled overweight?