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1-3 . The correct correspondences are 1-b , 2-c , 3-a . In fact , 1 is just the definition of composition of functions 2 is the definition of `f is the inverse of g . We can plot this function (using for example Maple We evaluate the function at some points : f (0 …

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It happens quite often that what might seem to be an observation completely unrelated to the functioning of human society in fact can be used for analysis of certain aspects of our life . For example , consider the fundamental First Law of Motion formulated by Isaac Newton , which states that a body at …

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br Show all work ( calculus 1 1 ) Show that the given families of curves are orthogonal trajectories of each other . Sketch both families of curves on the same axes x2 y2 r2 , ax by 0 The two equations are orthogonal trajectories of each other (black circles for x2 y2 r2 , …

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1 )Find the absolute maximum and minimum values of f (x x3-3x 1 on the interval x is either less than or equal to 3 or greater than or equal to 0 Solution Get the derivative f (x 3 x2-3 Equate to 0 and solve for x 0 3 x2-3 x2 3 /3 The square …