Determine whether the series [infinity] ln(2n) 3n n=1 converges or diverges. SOLUTION The function f(x) = ln(2x) (3x) is positive and continuous for x > because the logarithm function is continuous. But it is not obvious whether or not f is decreasing, so we compute its derivative: f '(x) = 3x − 3 ln(2x) 9x2 = 3x2 .

Question 1 of 10 2 points different groups of 50 graduates of an engineering school were asked the starting annual salary for their first engineering job after graduation, and the sampling variability was low. if the average salary of one of the groups was $65,000, which of these is least likely to be the average salary of another of the groups? o a. $64,000 o b. $65,000 o c. $67,000 o d. $54,000