Suppose that x'(tl)+O. Show that we can solve the equation x=x(t) for t = t(x) in a neighborhood of the point xi = x (t Hint: If ~'(t #O, then x(t) is a strictly monotonic function of t in a neighborhood of t = ti.

2/5/16 Friday,February5,20111:48AM Q1 • 25thpercentile Median • Middle • 2ndquartile • 50thPercentile 1/29/16 Friday,January29,201611:42AM CategoricalData • Categoricaldatabreaksobjectsdownintodifferentfeatures ○ Ex.Brandofsoda ○ Ex.Ethnicity • Createdifferentcategoriesandseehowmanyobjectsareinthatcategory • Frequency,relativefrequency,percentfrequency ○ Frequency-countinghowmanythingsinthecategory ○ Relativefrequency-whatfractionofthetotaldoesthatgoesintothe whole(decimal) ○ Percentfrequencyisthesameasrelativefrequencybutitusespercent QuantitativeData • Quantitativedatadescribesobjectsbymeasurements ○ Ex.Weight,time,speed,