Question

Then graph it. 5) (15 points) a) Sketch the graph of the curve r = 1 + sin 8 for 0 SO S2 b) Find the slope of the tangent line to this curve at 0 = c) Find the polar coordinates of the points on this curve where the tangent line is horizontal

please answer the question and show all your work thank you ?

Answer 1

©.. q Yeltsino Solletion given 8= it sino 030527 @ the graph of the curre is shown in bring .: slope(m)of Allee timgeut line is gohen by dy g'sno troso da g1680&asino from 440 jl= Copo * 00 ma 3A 2 I dy CSD. Suo +(1+Sino) uso hาะ 2 da. Cesoi copo (it Sine) sino ay - CM 2.loso. Sino +Goso Cose - sino - Sino Sinzo toso -.0 los 20 - Silo 77 m Sil; 20 = 2 Siha Lobo 4 loswo: co820 - sinko Now at o Sin m > 쫓 tlos II 4+1 2 Cosaa Sin T J2 K cu (1 +12) ã -2.414 hance slope of tongent line at 0= 7 (1+52) CRY -2.414 eract value approximate value

for Lime, m20 hronizontal tangent Shro of loso 에 940 CopW -sino Sin2g 4WO 20 ㅋ 2. STie . Cus0 4 OA to 여 ose (2The l) =0 Co2 9 0 25 el 20 커 2 Siue - 놀 쯩 7T 4 | dience 6 2출, 종 1T 6. foom WO 2 *출)= 14Siu (중) - 14 (7) - 글 (): = + Si() = & of perits Where lence the polar coo4clinaty of the tingent line que liorizontal (19) - will be (2) 중) ) c ( ) 증) (88) (,) ) 다. ) 6