Math assingment, i’ve tried doing it somewhat, but im neither sure if im heading to the right direction nor can i
complete either of them. Any help would be appreaciated!
2. Theregionhomdedhytheeurvea x=3y2—2,x=y2. andtheliuey=0 istoberevolvedaboutthe x—axis to generate a solid. Find the volume of the solid using(a) the disk method; (b) the shell methoti.  3. Theregionboundedbythecme y = 51111:, x = O, x = a: and y = c, (0 S c S I), isrevolvedabouttheline y = c toyeneratethe solid. (3) Find the-value of C thatminimizea the volume ofthe solid. What is theminimum volume?  (b) What value of r: in [0.1] maximizes thevolume of the solid?  (c) Graphtheaolid‘a volmueasaﬁmetionof c, ﬁrstfor 05:51 andthenonalarger domain. Whathappenatothevolumeoftheaolidas r: moveaawayﬁom [0,1]? Doeathis makeaenae physically? Give reasons foryourauaweia.  -END-
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