tions please show all work and explaiantation

these are some questions on calculus

Use the Comparison Theorem no determine whedler the imeglal is enmergent or divergent x + 1 w 10 six 1 v" x' - x O cunvergem: O divergent Need Help? i ii Flnd the URIIJE at p for which the "Integral nonverga. [Enter your answer as an inequality.) Evaluate the integral for those valua ufp. Need Help? i ii A ladiuanive substance dean's expuna'ltialhr: 111e mass at time t is mm = m[D}e. when: 111(0) is the initial mass and k is a negative curlstam. 111e mean M? M of an alum in tile substance is w M = i :2\" dc. For a ladiuacve is:|t:|:||:ler the value ka is -0.DEI|]126. Find the mea'l life of the isompe's 3mm. (Round your answer no cine decimal place.) yr Need Help? i i (a) nd the appmximatinns rm, M\Determine whether the integral is mnvu'gent Dr divergent i 75in:(x) Jr: 0 cmwerg2rll 0 diva'gent IF it is mmrga'lt, 2va|ua|32 it. [IF H12 quaniity H'IVEI'QE. enter DIVERGES.) New Help? ii Determine wheler Hi2 inb29lal is mrwa'gent Dr divergent w j 31 '"m dx 1 x 0 cmwerg2rll D diva'gent IF it is mnverga'lt, Evaluate it. [Ii= H12 quantityI divergE. enter DIVERGES.) New Help? ii i Determine wheHler Hi2 inb29lal is mrwa'gent Dr divergent w )3 dx Ln\" 9+J5 D convergent O diva'gent IF it is mrw2rga1t, 2va|ua|32 it. [IF H12 quaniity diverg. enter DIVERGES.) \f