Water-skiing is a popular summertime activity across Canada. A skier, holding onto a towrope, is pulled across the water by a motorboat. Linda goes water-skiing one sunny afternoon. After skiing for 15 min, she signals to the driver of the boat to take her back to the dock. The driver steers the boat toward the dock. turning in a parabolic path as it nears. If Linda lets go of the towrope at the right moment. she will glide to a stop near the dock. Let the vertex of the parabola travelled by the boat he the origin. The dock is located 30 in east and 30 n1 north of the origin. The boat begins its approach to the clock 30 rn west and 60 111 north of the origin. Task: Where is the Dock? Given the v- ordinate of A is 45. and the v-ordinate of B is 30. Determine the following: Show ALL the steps. including the graph of the paths. 1. Equation of the path of the boat 2. The coordination of the points A and B 2. Equation of the tangents at A. B, C 3. Distance and direction of the tangents on part 2 from the Dock {30.30}. 4. The point at which Linda should release the row-rope to head straight for the dock. 5 The equation of the tangent line for part {4} a. What assumptions have you made