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Results for this submission Answer Preview Entered 49.3899 Message You are not allowed to type decimal numbers in this problem (1 point) (1 point) Find the exact length of the curve given by 2 = t?,,- (Ost<5). Length - 49 3899

Answer 1

solve Girens x = 1 4 - 1 14 Internal notation: <+55 longith of the Cone - .b at It B so x= € ² cx alty pun x ) = nizkor at so; da 2t ct Square both sides:- (de 1263 = 4+² Now, y = 1 2 3 so () =) dy_t² dit st

square both sides. 22 So, Now, plug in the values of 24-3) into - Svadott SVE (ANP) at Start tJ4t? dt Now, let u=144² = dy 1972) ot + apply chain rules ddfw df dy che du us att? flore; t - Jut so; of (IM). d (4+t²) It dt 1. (1x) = 5 x dx (4):? This', nata (449) ott dt

gt ta (+2+) = Now, unds, u= 4+² sody + a dua dt Ut 14+4² (4+4² adt=1 -T4+12 du t د زمل St... (4+t2 du t u=54+t² so, Sunucu= Sude u Srbre = 4 tez 3 to adjust integral boundaries, It too 55; 4 =14+2 = 14t2 = 17-0 so u=2 If t=57du=4+x² = 24 +52 = 12 So, undag

+с Thus, audu - urdu (uz Now, compute boundaries:- lim u lim 43 te UN 3 UNO 3 2 (329 3 te 3 2952 3 8 3 Therefore, care length: 295293 or 49.38992.. 49.35 x FIGURI - PLOTTIN = 4t² tt