Question

5. A bee moves along the path c(t) = (4 sin(21), 6sin(3r)) in its "dance" to show the hive where a new flower patch is. a. Roughly sketch a graph of the path for Osts takes (make sure you are using radians). (including arrows showing the direction of the dance) that the bee b. Finds the distance the bee travels while doing its dance for OSIS. Set-up the integral and use fnint to evaluate. c. Find the parametric equations of the tangent line of the bee's path at timet . For full credit, use exact values for the trigonometric functions.

Answer 1

anscoors. Given dela, elt) & (usinat 6 bec mover along (sinat) Rusin atr yabsinat - new sa 1 2 3 4 M -3 -2 -1 Б) Дос од оr goaa mous C CAR : 12 JB real y a to do that of defferenclating b' and 'y with respect to trom o de su (sinal) de 26 (sima)) : Mr. (Coszt. (2) 6.6063L mov) - HC0522 3 6.0582-3 COS 2 TX 18 COSBY -8 d Here, Osts 11,9 2 210, 8211 qua. To8 ш щ u in (2 I S Casin2l)2 + ( 860532 32 dt So, By wing numberical oneshod Hllus 116 Tare length 241-145116

c) for borgel eine we need slope ② of largele dy dydy party 2 Rombel 186093 - Cleom Choom cell 48 C0326 - 9 (053le hcosat they (-) gCOS (), gcos (mm) ACOB( 32) iucos (1/6) slone miss goint x:usinat ausin (21) - using = 4 + 12 = 2 J = 65inal a 65in (3) = usin II auf 25 son poinha (9252) slope farm wing point Y 9, 2 mpe-xel) y - 252 22 (-2) ajo y 26 -853=9x-18 ge -2569_18+ 8 3 0