Use Green's Theorem to evaluate the line integral along the given positively oriented curve.
∫ (3y + 7e√x) dx + (8x + 9 cosy²) dy
where C is the boundary of the region enclosed by the parabolas y = x² and x = y².

Which system of linear inequalities is represented by the graph? !

What is the y-intercept of the line given by the equation

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?