The depth (in feet) of water at a dock changes with the rise and fall of tides. The depth is modeled by the function D(t) = 2 cos It+ 57 + 3 where t is the number of hours after midnight. Find the rate at which the depth is changing at 6 a.m. Round your answer to 4 decimal places. ft/hr Find the equation of the line tangent to the curve y = cos (x) at z = .Write your answer in slope- intercept form. Equation of Tangent Line is Let F(x) = f(x6) and G(x) = (f(x)) . Given f(a) = 3, f' (a) = 8, f(a") = 7, f' (a") = 8, f(a6) = 3, f' (a) =7 Find the following. F' (a) = G'(a) = Let F(x) = f(f(x)) and G(x) = (F(x))? . Given f(11) = 3, f'(11) = 3, f(5) = 11, f' (5) = 4. Find the following. F'(5) = 3 G'(5) = 9 x