2 There is a right triangle whose angles are fixed. If the side adjacent to the angle whose measure is */6 has length 2 cm and increasing at a rate of 1 cm/s how quickly is the opposite side changing? How quickly is the hypotenuse changing? How quickly is the area changing? 3 Consider another right triangle with an angle 0 such that the side adjacent to A has length 1 inch and so does the opposite. If the adjacent side is fixed and the opposite side is increasing at a rate of 0.5 in/s how quickly is the hypotenuse changing? How quickly is 0 changing? How quickly is the area changing? 4 Consider a half-cylinder constructed by cutting a cylinder in half, length- wise, without adding in a new surface to enclose the volume (more like cutting a can in half than a log, for example). If the cylinder has a radius of 2 meters and a length of 7 meters, how quickly would the surface area be changing if the radius was increasing at 0.2 m/s while the length remained fixed? What if the length was also changing at a rate of -0.5 m/s? If you set the broken can on a table (thus enclosing volume now ) what would the rate of change of the volume be