Consider the curve given by the implicit equation ty' = 1 4 dy (a) Find dx dy (b) Find an equation of the tangent line to curve at (?, - V15). U =Consider the curve given by the equation cy + 2x cos (y) = 2x (a) Find the slope of the tangent line to the curve at (4, IT). Answer: E (b) Find an equation of the tangent line to curve at (4, ). ESuppose that 3;.r2 + 9:1: = .7323; + 23, and gt?) 2 5. {a} Find 1:12} = 2 {ti} Write the equation of the tangent line to the curve _t,.r2 + QI = may + 23 at the point {2, 5}. y=| E Consider the curve given by the equation * + 4x + xy = 2 dy (a) Find E dx dy (b) Use your answer from (a) and the equation of the curve to find as a function of c only. dy E dx day (c) Use your answer from (b) to find as a function of c only. dx2 day da2Consider the curve given by the equation vi+ /y = 5 (a) Find the derivative y'. I (b) Use your answer from (a) and the equation of the curve to find y' (c). That is y' as a function of c only. y' (x) = (c) Evaluate y' (9) = (d) Use your answer from (b) to find y" (@) as a function of a only. y" (x) = EFind the slope of the tangent line to the curve 16(x2 + y?)2 = 200(x2 - y?) at the point (3, 1)