1. Consider the region D in the plane bounded by the first quadrant, the curves 2x-y 0,√3x-y-and²+²-9 Answer the question below: (a) What type of region is D? Explain in detail. (b) Sketch to region D. (c) Pose the double integral that allows you to calculate the area of region D. Make the limits of integration explicit. (d) Calculate the area of region D. (e) Let f(x, y) = 6-2² ². Sketch the enclosure bounded by the graph of f and the region D. (f) Pose the double integral that allows you to calculate the volume of roomdefined in the previous point. Make integration limits explicit (g) Calculate the volume of room .

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