Problem 3. The length r of the radius of a circular sector is increasing at a rate of ['3 meters per second. The angle 9 of a circular sector is decreasing at a rate of % radians per second. The area of the circular sector as a function of T and 6' is AU; 6) 2 12. A diagram of a circular sector is shown below. (a) Is the diagram above convex? Briey explain why. (h) Find if and % in terms of r and 9. Express their respective units. (c) [low fast. is the aria of the circular sector changing, in meters squared per second, when r- = H) meters and 9 = rmlians