A) use definition 2 to find an expression for the area under the curve y=x^3 from 0 to 1 as a limit.(b) the following formula for the sum of the cubes of the first n integers is proved in appendix e. useit to evaluate the limit in part (a).1^3 + 2^3 +3^3+ = [n(n+1)/2]^2definition 2: the area a of the region s that lies under the graph of the continuous function f is the limit of the sum of the areas of approximating.

Me max recorded the heights of 500 male humans. he found that the heights were normally distributed around a mean of 177 centimeters. which statements about max’s data must be true? a) the median of max’s data is 250 b) more than half of the data points max recorded were 177 centimeters. c) a data point chosen at random is as likely to be above the mean as it is to be below the mean. d) every height within three standard deviations of the mean is equally likely to be chosen if a data point is selected at random.

James was playing a game with his friends. he won 35 points. then he lost 15, lost 40 and won 55. how did he come out

The population of a small rural town in the year 2006 was 2,459. the population can be modeled by the function below, where f(x residents and t is the number of years elapsed since 2006. f(t) = 2,459(0.92)