A photographer takes a picture of a three-foot-tall painting hanging in an art gallery. The camera lens is 1 foot below the lower edge of the painting (see figure). The angle B subtended by the camera lens x feet from the painting is given by B = arctan x > 0. 3 ft 1 ftt Not drawn to scale (a) Use a graphing utility to graph B as a function of x. 2.0 0.4 1.5 0.2 1.0 1 3 4 0.5 -0.2 -0.4 1 2. 4 6. O-0.5 1.0 5 4 0.5 3 2 1 2 3 4 5 o-0.5 3 1 6 (b) Use the graph to approximate the distance from the picture when B is maximum. (c) Identify the asymptote of the graph and interpret its meaning in the context of the problem. (Enter beta to represent the symbol B.) The graph has a -Select-- v asymptote at As x increases, B--Select--- v

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