Determine convergence or divergence of the series.

A. Diverges
B. Converges


Answer: A

Mathematics

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Use differentials to estimate the amount of metal in a closed cylindrical can that is 12 cm high and 8 cm in diameter if the metal in the top and bottom is 0.09 cm thick and the metal in the sides is 0.01 cm thick. (rounded to the nearest hundredth.)

a. 8.34 cm³ b. 6.99 cm³ c. 6.91 cm³ d. 6.7 cm³ e. 12.06 cm³

Mathematics

Solve the problem.Sheila, Susan, and Rosie want to divide a cake fairly using the lone chooser method. The chooser, Rosie, was determined by drawing straws. Sheila and Susan agreed that Sheila would make the division of the cake. Assuming that each of them plays the game correctly, which of the following statements [A), B), C) or D)] cannot be true?

A. Rosie believes that her share is worth 2/3 of the cake; Susan believes that her share is worth 1/2 of the cake; Sheila believes that her share is worth 1/3 of the cake. B. Rosie believes that her share is worth 1/3 of the cake; Susan believes that her share is worth 1/2 of the cake; Sheila believes that her share is worth 1/3 of the cake. C. Rosie believes that her share is worth 1/3 of the cake; Susan believes that her share is worth 1/3 of the cake; Sheila believes that her share is worth 2/3 of the cake. D. Rosie believes that her share is worth 1/3 of the cake; Susan believes that her share is worth 1/3 of the cake; Sheila believes that her share is worth 1/3 of the cake. E. none of these

Mathematics

Find the distance between the pair of points on the number line.-7, 8

A. 15 B. -1 C. -15 D. 1

Mathematics

Write the expression below in terms of natural logarithms, and then give a calculator approximation (correct to four decimal places). ? ?

A.
B.
C.
D.
E.

Mathematics