Use the integral test to determine whether the series converges.

A. diverges
B. converges


Answer: B

Mathematics

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Find the standard-form equation of the ellipse centered at the origin and satisfying the given conditions.An ellipse with length of major axis 16 and y-intercepts 

A.  +  = 1
B.  +  = 1
C.  +  = 1
D.  +  = 1

Mathematics

Solve the problem.The groundhog population of Punxsutawny, Pennsylvania is closely monitored each year. Two years ago the population decreased by 12%. Last year the number of groundhogs increased by 6%. This year the population also increased by 9%. What was the percentage increase/decrease of groundhogs over these three years? Round your answer to the nearest tenth of a percentage point.

A. 29.4% increase B. 1.7% increase C. 4.3% decrease D. 9.2% increase E. 24.8% decrease

Mathematics

Solve the rational inequality. Write the solution set using interval notation; then graph the solution set on a number line. ? 3x

A. [4, 6]

B. [6, ?)

C. [0, 4] ? (6, ?)

D. (-?, 4] ? [6, ?)

Mathematics

Write as a single logarithm.4 loge x -  loge y

A. loge 
B. loge x4y4
C. loge x4
D. loge 

Mathematics