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A container has a trapezium based ABCD as shown below with AD = 8 m, BC = 12 m, and AB = x m. Each

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A container has a trapezium based ABCD as shown below with AD = 8 m, BC = 12 m, and AB = x m. Each side of the container is rectangular in shape with the same height. H F D G 12 m B Diagram is not drawn to scale. The volume of this container is V with d'v =350 - 400x and V(1.5) = 75 m3. dx (a) Find the volume of this container V in terms of x. [5] (b) Find the domain for x. [2]

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