1. Given a surface S in R3 as the graph of a smooth function f, namely z = f(x,y) with (x, y) E D, answer the following

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1 Given A Surface S In R3 As The Graph Of A Smooth Function F Namely Z F X Y With X Y E D Answer The Following 1 (97.29 KiB) Viewed 20 times

1. Given a surface S in R3 as the graph of a smooth function f, namely z = f(x,y) with (x, y) E D, answer the following questions. (a) Write down the parametric equations for S. (b) Compute the infinitesimal area of a surface element in terms of the parametrization in the preceding part. (c) Give an expression for the total surface area of S. (d) Use the formula obtained in the preceding part to find the area of a slanted glass roof over a sun porch given by the plane equation 2V2x + 4y – 2 = 3 for 0 < x < 4 and 0 Sy < 2. a