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A boat on the ocean is 3 ms from the nearest point on a straight ahoreline that porn is 14 mi trom a restaurant on the shore A woman plans to row the boat aiaght in a point on the shore and the work along the shore to the restaurant Complete parts (a) and (b) below. the walks at 3 mite and rows at 2 mats, at which point on the shore should the land to minimize the total travel time? Let be the distance between the nearest point on shore and the port she lands on ahore IT is the time it takes her to get to the restaurant, what is the active function? T= (Type an expression) The interval of interest of the objective function is (0,14) (Simplify your answer. Type your answer in interval notation) To minimize the talvel Sime, the boat should land 14-- (Type an exact answer using radicals as needed) mies from the restaurant An 8-8-tallence une paralel to the wall of a house at a distance of 7 ft. Find the length of the shortest ladder that stands from the ground to the house without touching the fence. Assume the vertical wall of the house is 20 ft high and the horizontal ground extends 20 ft from the fence Let L be the length of the ladder a be the distance from the base of the ladder to the fence, d be the distance from the fence to the house and be the datance from the ground to the point the ladder touches the house. What is the objective function in tems ofx? (Type an expression) The interval of interest of the objective function is (0,20) (Simplify your answer. Type your answer in interval notation) The length of the shortest adder ist. (Round the final answer to the nearest tenth as needed. Round all intermediate values to the nearest thousandth as needed)