by question number. *Do not use techniques we have not discussed yet.' ' i 5. You are on a boat, in the middle of a lake when you and your friend decide to go to a lakeside restaurant closer to dinner time. At the time you make the decision, you are 5 miles out from the pier due east of you and due to an eastward wind, you are oating toward the pier at a rate of 2 mph. The restaurant' Is 6 miles due north of the pier. At what rate' Is the hearing from the restaurant to you (the angle between the shore and you from the perspective of the restaurant) changing half an hour after you decide to go? Hint. Sketch this immediately before you try to make sense of it. 6. The Enterprise' Is travelling over a path (with the origin being Earth) of 23:2 - 3:33} + 63,723 - 1903, where x and y are in light years. What" IS the direction they are ' going, given in terms of slope when they are 3 light years in the x direction and 4 light years in the y direction, and how far are they from Earth at that point? 2_'- 3 1A calculus student is traveliing along a path modeled by ,5 -=_- (t' 4g) . . (IItam E *Use Logarithmic differentiation' to determine the velocity of the student whem ' 2. No credit will be awarded if a different method' l5 used. | rmmev \"......u-um