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(1) A capsule is a geometric shape that consists of a cylinder capped by two hemispheres on either end. If a capsule has a given

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(1) A capsule is a geometric shape that consists of a cylinder capped by two hemispheres on either end. If a capsule has a given volume V, find the dimensions that will minimize the surface area of the capsule. (2) The velocity of a wave of length I in deep water is v = KV + where & and a are positive constants. What is the length of the wave that gives the minimum velocity

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