A boat on the ocean is 3 mi from the nearest point on a straight shoreline; that point is 11 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. 3 mi 11mi a. If she walks at 3 mi/hr and rows at 2 mi/hr, 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= (Type an expression.)A rectangular flower garden with an area of 238 m" is surrounded by a grass border 1 m wide on two sides and a 2 m wide on the other two sides as shown in the figure. What dimensions of the garden minimize the combined area of the garden and borders? 2 m Flower garden 1 m Let h be the vertical height of the garden and let A be the total area of the garden and borders. Write the objective function. A = (Type an expression.)a. Find the radius and height of a cylindrical soda can with a volume of 434 cm3 that minimize the surface area. b. Compare your answer in part (a) to a real soda can, which has a volume of 434 c1113, a radius of 3.1 cm, and a height of 14.7 cm, to conclude that real soda cans do not seem to have an optimal design. Then use the fad that real soda cans have a double thickness in their top and bottom surfaces to nd the radius and height that minimizes the surface area of a real can [the surface areas of the top and bottom are now twice their values in part (a)). Are these dimensions closer to the dimensions of a real soda can? it. Write a function for the surface area of the soda can. 8, in terms of the radius, r. 3 = (Type an expression.)