Let the surface S be given by the equation z = f(x, y) where x2 + y2 < R2. It is given that fo and fy satisfy f: Sa and
Posted: Thu May 12, 2022 9:29 am
Let the surface S be given by the equation z = f(x, y) where x2 + y2 < R2. It is given that fo and fy satisfy f: Sa and fyl <b for some constants a, b > 0. (a) What is an upper bound for 1+f3+f; in terms of a and b? (b) Use your answer in part (a) to find an upper estimate for A(S). Your answer will be in terms of a, b, and R.