The average value of a function f(x, y) over a rectangle R is defined to be fave = 1 A(R) R f(x, y) dA. Find the average value of f over the given rectangle. f(x, y) = 4x2y, R has vertices (−5, 0), (−5, 4), (5, 4), (5, 0).

Twenty points. suppose that one doll house uses the 1 inch scale, meaning that 1 inch on the doll house corresponds to 1/2 foot for life-sized objects. if the doll house is 108 inches wide, what is the width of the full-sized house that it's modeled after? in inches and feet

It is saturday morning and jeremy has discovered he has a leak coming from the water heater in his attic. since plumbers charge extra to come out on the weekends, jeremy is planning to use buckets to catch the dripping water. he places a bucket under the drip and steps outside to walk the dog. in half an hour the bucket is 1/5 of the way full. what is the rate at which the water is leaking per hour?

If a flying disk is 139 meters in the air and travels at an average of 13 m/s how long is it in the air