Determine whether the series ∞ 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 .

Using d, e, and f as values on a triangle and d being 60 degrees, what is the value of e and f if d is 60 degrees? also, what do you notice about the values of e and f?

225/100 of last years cost. write each fraction as a decimal and as a percent

Using pert, adam munson was able to determine that the expected project completion time for the construction of a pleasure yacht is 21 months, and the project variance is 4. a) what is the probability that the project will be completed in 17 months? b) what is the probability that the project will be completed in 20 months? c) what is the probability that the project will be completed in 23 months? d) what is the probability that the project will be completed in 25 months? e) what is the due date that yields a 95% chance of completion?