Question

(1 point) Find the length of the curver r(t) = i +3t'j + tºk, 0<t</96 L

Answer 1

The The given curve olt) = i tttt oct=j96 REBNO are length 06 given given interval (a,b] is given by La poticos de curve in q Now Yle) = Oi +6+3+3RF 18 let = 10²4(66² +(3+2) ² = 136 +² +967 Now 796 (= 366² +967 at F46 3td tatt dt a Sufsti tule dt= I dt t= +244 du= at at

khen to then u= 0+4=4 then u= (146)²+4 =100 t= 396 tou of ra du = 3/243727100 is 3 J4 4 = = [us] yous 4 [ Clouse - (939) [ 1000 - 87 - 992 [= 999