2. (12 points) Let : H H have the form f(x, y) = (x, g(x, y))....

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2. (12 points) Let : H H have the form f(x, y) = (x, g(x, y)). Determine the conditions on g(x, y) which imply that f preserves hyperbolic area. Give a geometric interpretation of the result of your calculation. 2. (12 points) Let : H H have the form f(x, y) = (x, g(x, y)). Determine the conditions on g(x, y) which imply that f preserves hyperbolic area. Give a geometric interpretation of the result of your calculation.