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A boat on the ocean is 3 mi from the nearest point on a straight shoreline; that point is 9 mi from a restaurant on the shore. A woman plans to row the boat straight to a point on the shore and then walk along the shore to the restaurant. Complete parts (a) and (b) below. a. If she walks at 3 milhr and rows at 2 milhr, at which point on the shore should she land to minimize the total travel time? Let x be the distance between the nearest point on shore and the point she lands on shore. If T is the time it takes her to get to the restaurant, what is the objective function? T=E (Type an expression.) A 4-ft-tall fence runs parallel to the wall of a house at a distance of 10 ft. Find the length of the shortest ladder that extends from the ground to the house without touching the fence. Assume the vertical wall of the house is 25 ft high and the horizontal ground extends 20 ft from the fence. Let L be the length of the ladder, x be the distance from the base of the ladder to the fence, d be the distance from the fence to the house and h be the distance from the ground to the point the ladder touches the house. What is the objective function, in terms of x? L=D (Type an expression.) Acone is constructed by cutting a sector from a circular sheet of metal with radius 26. The cut sheet is then folded up and welded. Find the radius and height of the cone with maximum volume that can be formed in this way. 26 Write the objective function relating V and h in a form that does not include r. v=D {Type an expression. Type an exact answer, using 1: as needed.) a. Squares with sides of length x are cut out of each corner of a rectangular piece of cardboard measuring 31 ft by 17 ft. The resulting piece of cardboard is then folded into a box without a lid. Find the volume of the largest box that can be formed in this way. b. Suppose that in part (a) the original piece of cardboard is a square with sides of length s. Find the volume of the largest box that can be formed in this way. a. To nd the objective function, express the volume V of the box in terms of x. V : (Type an expression.)