Suppose that we have decided to investigate the convergence or divergence of the series ∑n=1[infinity]an using the Integral Test. If {an} is a sequence of positive terms and an=f(n), what conditions on the function f must be satisfied before any conclusion may be reached using the Integral Test?

Express in the simplest form: (x^2+9x+14/x^2-49) / (3x+6/x^2+x-56)

Assume that y varies inversely with x. if y=1.6 when x=0.5 find x when y=3.2

According to a study conducted in 2015, 18% of shoppers said that they prefer to buy generic instead of name-brand products. suppose that in a recent sample of 1500 shoppers, 315 stated that they prefer to buy generic instead of name-brand products. at a 5% significance level, can you conclude that the proportion of all shoppers who currently prefer to buy generic instead of name-brand products is higher than .18? use both the p-value and the critical-value approaches.