Use the integral test to determine whether the series converges.

A. diverges
B. converges


Answer: A

Mathematics

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Find the derivative.y = - 2x7 

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Determine whether the specified paradox occurs.A small country consists of seven states; there are 160 seats in the legislature that need to be apportioned among the seven states; and the population of each state is shown in the table.Does the Alabama paradox occur using Hamilton's method if the number of seats is increased from 160 to 161?

A. Yes B. No

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Give a geometric description of the set of points whose coordinates satisfy the given conditions.(x - 2)2 + (y - 10)2 + (z - 8)2 < 4

A. No set of points satisfy the given relations. B. All points on the lower hemisphere centered at (2, 10, 8) C. All points within the lower hemisphere centered at (2, 10, 8) D. All points outside the lower hemisphere centered at (2, 10, 8)

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Find the derivative of y.y = sinh2 7x

A. 2 cosh 7x B. 14 cosh 7x C. 14 sinh 7x cosh 7x D. 2 sinh 7x cosh 7x

Mathematics