For the following vector field, compute (a) the circulation on and (b) the outward flux across the boundary of the given region. assume the boundary curve is oriented counterclockwise. f = < x, y > ; r is the half annulus {(r, theta): 4 leq r leq 7, 0 leq theta leq pi} a. the circulation on the boundary is . (type an exact answer, using pi as needed.) b. the outward flux across the boundary is . (type an exact answer, using pi as needed.)

Tyler enjoys the fish so much that after his birthday his family decides to take him to a famous aquarium a tank at the aquarium is similar to his tank with the scale factor of 8 how many times greater is the volume of the tank at the aquarium than the volume of tyler tank

Abcd is a square. what is the measure of angle bac

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?