Handwritten ActivitY 1 all Answer the questions on this document or on separate paper' Show in D2L' complete, scin and submit your work to the assignment folder work' When Determinethe areaboundedbythecurves tr: Y2 -2A, fi: A' A: -2and all work in the setup and evaluation u : 4. Include a sketch of the region. Show q -" ';'t-"# of the integral(s) involved. S- 1. E 3 a _t o i 'lt" Scn p, nl"5 (}f ,l_'-,r'"!5) ,1\-'}'rlf,6.&* ".6 ' ' -(,4t'% :"y Jlu "[tL,t)4*$]*a*t w Uatte-eu\ dJf Ou\L g*$ 0 *13{1- 3) 9"c t?3 ;-* l-',u"'55\f\ t uSr.Ero -rl J-r 5lJ {0}"(,fi-r\ ' 5 ',/ 2&r &i '&i +1 ($r-*t+3a)Ss i )9tr'-rr-{ ,,.3 o 2 rtt ";\ r*u j' r&e.. lj'];lh)'L't ql al n !di + : lh,a JT,,- c2\d'J {" +3'-{ 1rs [+*u-l t .-1 f -f('")_l-lq -#"1 L4l *J ,t = t F l,twfgZ Set up (do not evaluate) an integral to find the volume of the solid formed by revolving the region bounded by A : 12 and U : 3n about the indicated axis using the indicated method. 2. (a) Rotate about the r-axis using the disk/washer method. -:p *9"3 ', 1J.1r5Qt/ ' v ?^ --* ',.?*gra -z Tr 1 CA )")-v0 rrlr (u') a+.r n)t(. /-'- /* yo ) *JJ B"* r ' o x("^11 ; o ya&x>& or ""-t' ?*1{*b"* 1L; Rotate about the r-axis using the method of cylindrical shells. -.-+ , ph\h'or e."Sjta": c Ql-+.)Ju (c) Rotate about the line r = -2 using any method. ilgq- ,, ..2 U=* x=-il[ 4_ irf; f irn.)'- (d) Rotate about the line a : '.\ B'*lFt I 4f , " U -2 {= -- a_-A 3x 'F oG i nr-?1'6a'Hr1t \,*- $ 'Yn 5=z5=4 r 3r (I*-)"L using any method' *i: C z,c+z)L^[*"+z)t J'r 6i.#tu-^"+', -ilbg e{' *-{ua*" nreto**{ *.$; .r*n*\ 0",u, .b h R X {,\.kl^.- q t*fi s tr" re X "t - *o,rj rrri*$,"h. v,'1**rit, ;Fm &vr"*u-sff 3. Consider the region bounded by (a) r: 9 - a2 and r: 6 - 2a' of the solid Use the method of your Set up but do not evaluate an integral to determine the volume generated by rotating the region about the line n : l0' choosing. I {}l I is q' * 1l -2 a I 6 -l n '.t' I ? {F' x-E,.** * $'ii:la ^z-€ 5nlr, fl nflir o -x' :tf,':;**+* -ii * '.,1 :" I'l' - #J '"rpA":'4€ ,rl-o",, T r. *x-+&r rt * " g) --ljrl********- (b) Set up but do not evaluate an integral to determine the volume of the solid rotati region about the line U : 5. Use the method of your ,T\ I FJ$.*';,S { - {, "i: 1^{,t*s *8"\ Lrffi- -E\ 4:[-h- ]](ffi;-*-ni$s 4a