ooooo CT-Mobile "3 11t49 PM 9 sitesmathwashingtonedu 3. (14 points) The drawing shows a region R bounded by four semicircles. The dashed sides of the at X y rectangle are the diameters of the semicircles. Suppose that at first x = 4 cm and = 6 cm. If you decrease x to 3.8 cm, What is the new value you should choose for y in or- der for the area of R to remain the same? Use implicit differentiation and linearization (also called the "tangent line approximation" and the "method of differentials"). Give your an- swer to the nearest 0.001 cm. You must use implicit differentiation and linearization to do this