15 ) (6 pts ) Tarzan at point A wants to travel to Jane who is at point B the quickest. He is currently at point A in a muddy field 4 miles west of the edge of a jungle. Tarzan can trudge through the muddy field at a rate of 3 miles per hour towards the jungle. Tarzan can swing through the jungle at a rate 5 miles per hour. Using the concepts of optimization(using derivatives), what is the fastest time Tarzan can make his way from point A to point B - Jane is waiting ! For instance if Tarzan trudges due north-east for 4v2 miles and then turns due north and swings 4V2 1 00 through the jungle for 8 miles it would take him 3 hours plus $ hours ( total of about 209.14 minutes) . Can you find a way that Tarzan could make it to Jane in less time? .B 12 miles A. 4 mile Answer : minutes 1519) ( 6 pts ) Use linear approximations to estimate the quantity JC arccos = COS use the fact that 3 Provide answer in terms of JC |