G 2. Given function of two variables: f(x, y) = e x cos y (a) Find all critical points (b) Use the second derivative test to determine whether each of the critical point corresponds to a relative maximum or a relative minimum or a saddle point or the test is inconclusive (c) Also find all relative extrema.

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?