Provide an appropriate response.The area of the surface formed by revolving the graph of  from  to  about the line  is  The area of the surface formed by revolving the graph of r = f(?) from ? = ? to ? = ? about the

line  is  Use the idea underlying these two integral formulas to find the surface area of the torus formed by revolving the circle r = a about the line  where 



What will be an ideal response?


4?2ab

Mathematics

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Solve the problem.Refer to the figure, which shows the distribution of voters in a state with 14 Democratic voters and 11 Republican, and five voters per district. Draw district boundaries so that two Democrats and three Republican are elected. You may draw districts with any shape you wish, as long as the district is contiguous.

What will be an ideal response?

Mathematics

Express the result of the addition as a Hindu-Arabic numeral in expanded form.

A. (5 × 104) + (6 × 103) + (3 × 102) + (4 × 101) B. (5 × 103) + (6 × 102) + (2 × 101) + (9 × 1) C. (5 × 104) + (6 × 103) + (2 × 102) + (9 × 101) D. (5 × 103) + (6 × 102) + (3 × 101) + (4 × 1)

Mathematics

Perform the indicated operation.6 + (-5)

A. 1 B. -11 C. -1 D. 11

Mathematics

Write an equation of the line with the given slope, m, and y-intercept (0, b).m = - , b = 9

A. y = - x + 9
B. y = x + 9
C. y = - x - 9
D. y = x - 9

Mathematics