When blood flows along a blood vessel, the flux Fis proportional to the fourth power of the radius R of the blood vessel: F = kR', where k is a constant. A partially clogged artery can be expanded by an operation called angioplasty, in which a balloon-tipped catheter is inflated inside the artery in order to widen it and restore the normal blood flow. Suppose a patient with a partially clogged artery has R = 2 before surgery. (a) Find the equation of the tangent line of Fat R = 2.

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