Use Stokes' Theorem to calculate the circulation of the field F around the curve C in the indicated direction.F = -7y3i + 7x3j + 6z3k ; C: the portion of the paraboloid x2 + y2 = z cut by the cylinder 
A. 336?
B. -336?
C. - 168?
D. 168?
Answer: C
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Answer the question.Suppose that of the total amount collected in taxes by the U.S. government, 25% of it comes from families with incomes greater than $200,000. If taxes are increased by 5% across the board, which of the following statements will be true?
A. A family with an income greater than $200,000 will have to pay 25% more in taxes. B. 25% of the additional revenue collected by the government will come from families with incomes greater than $200,000. C. 5% of the additional revenue will come from each income group. D. The total amount collected from families with incomes greater than $200,000 will increase by 25%.
Simplify.
A. 1
B. 17
C. 0
D. 
Solve the problem.A doctor has told a patient to take vitamin pills. The patient needs at least 36 units of vitamin A, at least 9 units of vitamin C, and at least 91 units of vitamin D. The red vitamin pills cost 
each and contain 6 units of A, 1 unit of C, and 7 units of D. The blue vitamin pills cost 
each and contain 4 units of A, 1 unit of C, and 14 units of D. How many pills should the patient take each day to minimize costs?
A. 6 red and 3 blue B. 5 red and 4 blue C. 4 red and 5 blue D. 9 red and 0 blue
Find the domain of the function.f(x) = 3 - ln (9x )
A. (9, ?) B. (-?, 3) ? (9, ?) C. (0, ?) D. (-3, 9)