11 11 points previous answers scalcet7 35508xp find

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11. 1/1 points | Previous Answers SCalcET7 3.5.508.XP. Find the derivative of the function. 12. 1/1 points | Previous Answers SCalcET7 3.5.512.XP. Find the derivative of the function. h' ( x ) = 1− xsin −1( x )√1− x 2 y = 31 arctan x y' = 312√ x ( x +1) h ( x ) = sin −1 x 1 − x 2
13. 6/6 points | Previous Answers 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)= tan −1(13 x )− tan −1(3 x ) (b) Find the rate of change with respect to x of the angle a when you are at the location x −10( x 2−39) x 4+178 x 2+1521 (c) Find the rate of change with respect to x of the angle a when you are at the location x=4 46925 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
−251157 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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