At noon, ship Awas 13 nautical miles clue north of ship B. Ship Awas sailing south at 13 knots (nautical miles per hour; a nautical mile is 2000 yd) and continued to do so all day. Ship B was sailing east at 12 knots and continued to do so all day. Complete parts (a) through (e) below. a. Start counting time with t= O at noon and express the distance s between the ships as a function of t. 8(l) = b. How rapidly was the distance between the ships changing at noon? One hour later? At noon the distance between the ships was changing at a rate of V One hour later, the distance between the ships was changing at a rate of V c. The visibility that day was 5 nautical miles. Did the ships ever sight each other? C: No [3 Yes ' ds dt correct graph below. Each graph is shown with a window of [ - 1,3] by [0,50]. d. Graph 5 and together as functions oft for 1 its 3. Compare the graphs and reconcile what you see with your answers in parts (b) and (G). Select the Ca A. C: q q ds ds e. The graph of a looks as if it might have a horizontal asymptote in the first quadrant. This in turn suggests that a approaches a limiting value as t->oo. What is this value? What is its relations to the ships' individual speeds? Select the correct answer below and ll in the answer box to complete your choice. (Type an exact answer, using radicals as needed.) '3' A- The limit is . This limit is the square root of the sums of the squares of the individual speeds. Ci 3- The limit is . This limit is the square root of the differences of the squares of the individual speeds