Calculate the circulation of the field F around the closed curve C.F = - x2yi - xy2j; curve C is r(t) = 4 cos ti + 4 sin tj, 0 ? t ? 2?

A. 0
B. - 4
C. - 1
D. - 2


Answer: A

Mathematics

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Solve the problem.The accompanying figure shows the graph of y = -x2 shifted to a new position. Write the equation for the new graph.

A. y = -(x + 5)2 B. y = -(x - 5)2 C. y = -x2 - 5 D. y = -x2 + 5

Mathematics

State which type of average, the mean, median, or mode, would be most appropriate in the situation described. Explain your thinking.Suppose that a state introduces a state income tax which will be at a flat rate  The state legislature wishes to estimate how much money they will receive in taxes, and to do this they need to know the average income of residents of the state. Which information would be most useful, the mean income, the median income, or the mode of the incomes? Why?

What will be an ideal response?

Mathematics

Graph the system of inequalities. Find the coordinates of any vertices.3y + x ? 0,y + 2x ? 10,y ? 0

A.

(0, 0) , (10, 0)
B.

(6, -2)
C.

(0, 0) , (5, 0) , (6, -2)
D.

(0, 0) , (5,0)

Mathematics

Graph the two functions on one coordinate plane.f(x) = g(x) =  - 6

A.

B.

C.

D.

Mathematics