Use Green’s Theorem to evaluate the line integral along the given positively oriented curve. ∫c cos y dx + x^2 sin y dy, C is the rectangle with vertices (0, 0), (5, 0), (5, 2), and (0, 2)

By Green's theorem, we have

where is the *boundary* of the rectangle .

The integral is then

question: how many people can she serve?

answer: she can serve 16.66666667 people. so she can only give 16 people a complete serving.

question: does she have enough ice cream for her guests?

answer: no. explanation: she only has enough for 16 people to have a full serving. however, she can give a 17th person a partial serving.