You are standing in the uffizzi gallery admiring a

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You are standing in the Uffizzi gallery admiring a painting by Botticelli. The painting is huge, and your viewing location is pictured below; all measurements are in meters. (a) If x is the your distance from the wall holding the painting, find a function A(x) that computes the angle a in the picture; A(x)= $$ arctan (13 x )− arctan (3 x ) (b) Find the rate of change with respect to x of the angle a when you are at the location $$11+(13 x
(c) Find the rate of change with respect to x of the angle a when you are at the location $$11+(134)2·(−1316)−11+(34)2·(−316) m. (Exact answer.) (d) Find the rate of change with respect to x of the angle a when you are at the location x=13 x=4
m. (Exact answer.) (e) Find the location where the rate of change with respect to x of the angle a is zero $$√39 m.(Exact answer.) (f) When you are standing at the location to maximize a , what is the value of a ?
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