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

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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 1 (21.28 KiB) Viewed 22 times

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.