Let y = 8 sin(x). Find the absolute maximum and absolute minimum of the curvature function (r) of y = 8 sin(x), on the c
Posted: Wed Jul 06, 2022 11:44 am
Let y = 8 sin(x). Find the absolute maximum and absolute minimum of the curvature function (r) of y = 8 sin(x), on the closed interval [0,7]. That is, what is the absolute maximum and absolute minimum curvature of y = 8 sin(x), on [0, π]? Which theorem from Calculus I, and revisited in Calculus III in Chapter 14, guarantees that the absolute maximum and absolute minimum exists? How does the curvature function on [0, π] meet the conditions necessary to apply this theorem. For full credit, you must show all work for all computations.