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The spiral is an example of a mathematical form appearing in nature, from the visible construction...

The spiral is an example of a mathematical form appearing in nature, from the visible construction of seashells, pinecones, and galaxies to the movement behavior of certain animals. The position of a hungry animal that moves outward along a spiral path, searching for food, can be written as r(t) = Aωt cos(ωt)i + Aωt sin(ωt)j. Write an expression for the velocity of the animal in component form. (Use any variable or symbol stated above as necessary.)

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