Atheorem states that one local extremum implies absolute extremum. verify that the following function satisfies the conditions of this theorem on its domain. then, find the location and value of the absolute extremum guaranteed by the theorem. a(r)equalsstartfraction 16 over r endfraction plus2pir squared, rgreater than0

Astudent is determining the influence of different types of food on the growth rate of spiders. she feeds one group of spiders two caterpillars twice a week. the other group received similarly-sized beetles twice a week. she records the amount of time required for individuals to reach sexual maturity. her hypothesis is that the spiders feeding on caterpillars will have a faster growth rate because caterpillars have a higher protein content compared to beetles. in this experiment, what is the dependent variable? spiders assigned to different feeding groups. time required to reach sexual maturity number of prey items fed twice a week. growth rates of each group.