MATH 2043 Study Guide - Final Guide: Inverse Hyperbolic Function, Hyperbolic Function
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D = {(x, y) : |y| < x < 2, 2 < y < 2} 1: let d be the region described by the conditions x y, 2x y. 1 + tan2 tan (2) sin = . 2. 0: let d be the region of problem 3, and let f (x, y) = 2: the region on the right is bounded by the circle of radius 1, the circle of radius 2, the x-axis, (part of) the spiral r = (pictured below). In polar coordinates, the region looks like the picture further down. 6: let f (x, y) = 1 + x2 + y2, as a function with domain. R = {(x, y) : x2 + y2 9} Compute the area of its graph, that is, the area of the surface r = . y. {(cid:0)x, y, f (x, y)(cid:1) : (x, y) r}. (37 37 1)