Let D be the region between the curves y = 6 - x and y=9- (x/2)^2....

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Let D be the region between the curves y = 6 - x and y=9- (x/2)^2. Consider the surface z given as a function of x and y as z = 4xy + 10 and lies above the region D. 1. Sketch the region of integration, D 2. Evaluate the volume of the solid that lies below the surface z and above the region D 3. Evaluate the area of the region D. 4. You are asked to build a solid that has the same volume with what you obtained in part (b), and have the same area like what you obtained in part (c), where the height of the solid is a level plane parallel to the region D. Determine the height of the solid. Let D be the region between the curves y = 6 - x and y=9- (x/2)^2. Consider the surface z given as a function of x and y as z = 4xy + 10 and lies above the region D. 1. Sketch the region of integration, D 2. Evaluate the volume of the solid that lies below the surface z and above the region D 3. Evaluate the area of the region D. 4. You are asked to build a solid that has the same volume with what you obtained in part (b), and have the same area like what you obtained in part (c), where the height of the solid is a level plane parallel to the region D. Determine the height of the solid. Let D be the region between the curves y = 6 - x and y=9- (x/2)^2. Consider the surface z given as a function of x and y as z = 4xy + 10 and lies above the region D. 1. Sketch the region of integration, D 2. Evaluate the volume of the solid that lies below the surface z and above the region D 3. Evaluate the area of the region D. 4. You are asked to build a solid that has the same volume with what you obtained in part (b), and have the same area like what you obtained in part (c), where the height of the solid is a level plane parallel to the region D. Determine the height of the solid. Let D be the region between the curves y = 6 - x and y=9- (x/2)^2. Consider the surface z given as a function of x and y as z = 4xy + 10 and lies above the region D. 1. Sketch the region of integration, D 2. Evaluate the volume of the solid that lies below the surface z and above the region D 3. Evaluate the area of the region D. 4. You are asked to build a solid that has the same volume with what you obtained in part (b), and have the same area like what you obtained in part (c), where the height of the solid is a level plane parallel to the region D. Determine the height of the solid.

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