Consider a bungalow in a tourist village, with a circular floor plan and a T-roof whose 1/4 shape is shown in red in Figure 1. The scale in the figure is 1: 2.70 m. A. Write a parameterization for the roof T . B. Using the parameterization you presented in the previous paragraph, write an expression with one or more surface integrals that allows you to calculate the area of T .

C.Assuming that you want to waterproof the T roof with a bituminous membrane costing 12.47/m2, determine the total cost of the waterproofing.

D.For the Christmas season it was decided to decorate each bungalow with 16 strips of LED lights attached to the center of the roof and with a length such that they end on the floor (see illustration in Figure 2.) Write an analytical expression for the parameterization of one of these strips. lights. E. If each meter of the light strip costs 4.5 determine the total cost of the Christmas decoration for each bungalow.

3:25 2,5 1 5 2. *** M Y 2 2,5 MOMO 3:25 2,5 1 5 2. *** M Y 2 2,5 MOMO