Question

al.coGraph r=zsin30. By 7:54 aus (w Find the area inside the arre. Express the area inside r=251.30 and outside ral Express the area inside r=25 in 30 and inside ral Q2. Determine whether the sequence convergent or divergent. an= ni a. Determine whether the series absolutely convergent, Conditlonully convergent or Divergent. (a) & sin (2) مل (6) Ž 5^ns = (21)

Answer 1

9.1) () Graph 772 sin30 S n 20 2 9 6) Find the area inside the carve r = 2 Sino To find when the carve is beging the value of rset s r=o 2sinso =0 sin 300 30 = 0 217 3 3 so that carve in the first quaderent varies from o o to o7 aren or The expression for the any podar equating r from O= a to o E B B given by CB Ź Sordo redo

T113 I a ㅗ 2 sin3) ? do 2 Iz T1/3 42 ) sino do Use 7 Cg 2x = 1-2 sina. sin2d (1-1922) 2 sin 30 (1-605 60) 13 Iz 2 1 (1-cg.co) do o T7/3 T13 2 (1-1960) do to- I singo 0) sin an 1 1 - sn 2n = " (هي -5) - 6 2 407 (9) I 2 TI 3 Arca under Carve 그기 3

요sin 30 and TJ = 2sin30 sin30 2 - 루 39 0. 2 TI 18 깨18 I 0 「아 10 & sin bo & sin (1) I - o t I sin (o) 기 13 상에 6 I 2 0 18 (2) 2T -3 36 I 0) Area under curve ) in side re 228330 and 39 2 21 아 (금) 호 Sia 60 - r 6 임 끼 18 [e F. + 5 ] + 1 3~2T) 36 Aren under care

In anah by ratio tyr lim ant) no an (non? lim ntl in n tinti) (3)] ntl 2) lim nao 70 by limit test limit test, the series diverges. Sepeence is clivagant 9:3) (9) e sin (2) nal by comparison test if E nal by enrages diverses than & bn diverses he) is divergent let ocan a by here ana hal st slo bn al

3 E sin nel 2. is civergent series 5) 8W 3 5 ne) (21) Mo test anth an lim lant) nato by ratio ht) lim ПӘсе hal 3 +)) (2 Cht) sh n3 (29) 3 lim no s' (n+1) [2 (nt))] ! (2h)! h3 = 1x1 a < 을 2 This sens is convergent