Calculate the circulation, f · dr, c in two ways, directly and using stokes' theorem. f = y i + z j + xk and c is the boundary of s, the paraboloid z = 4 − (x2 + y2), z ≥ 0 oriented upward. (hint: use polar coordinates.)

Create a question with this scenario you could ask that could be answered only by graphing or using logarithm. david estimated he had about 20 fish in his pond. a year later, there were about 1.5 times as many fish. the year after that, the number of fish increased by a factor of 1.5 again. the number of fish is modeled by f(x)=20(1.5)^x.

Yesterday, george drank 1 small bottle and 2 large bottles, for a total of 1,372 grams. the day before , he drank 1 small bottle and 1 large bottle, for the total of 858 grams. how many grams does each bottle hold?

The difference of two numbers is 40. find the numbers if 0.3 parts of one number is equal to 37.5% of the other one.