Consider the following function and interval. f(x) = (x-2)², [1,4] (a) Find the average value fave off on the given interval. fave (b) Find all values of c such that fave = f(c). (Enter your answers as a comma-separated list.) C = (c) Sketch the graph of f and a rectangle whose area is the same as the area under the graph of f. y y y-(x-2)² (1,1) (3, 1) 1 y 9 1 (1,9) (4, 4) 2 3 4 y= (x-2)² x 1 y (1, 4) y= (x-2)² (2,1) (4,1) 1 2 3 4 y-(x-2)² (4.9) 5. + 0/1 points | Previous Answers SEssCalcET2 5.4.014. Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. y' = y COS X = sin x (3 + v²)6 dv |-(6+ (sin(x)) ²) 3³ cos(x) − (6+ (cos(x))²)³ sin(x) × Need Help? Read It Talk to a Tutor Submit Answer Save Progress Practice Another Version