4.6. evaluate the integrals s xdz, s, y dz, s, z dz and sż dz along each of the following paths. (hint: you can get the second two integrals after you calculate the first two by writing z and z as x fiy.) (a) y is the line segment from 0 to 1-i (b) y = c[0,1] (c) y = c[a, r] for some a € c

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?