2 Ceneidertne eunre given by the implicit equation 232 + y? = 1 {ti} Find an equation of the tangent line to curve at E: y/E). \"y: Consider the curve given by the implicit equation *+ 4xy = 5y* + 7 dy (a) Find dx dy dax (b) Find an equation of the tangent line to curve at (2, 1).Consider the curve given by the equation 2ay* = xy + 4 Find an equation of the tangent line to curve at (4, 1). EConsider the curve given by the equation 3cy - * COS (y) = 4x (a) Find the slope of the tangent line to the curve at (1, IT). Answer: (b) Find an equation of the tangent line to curve at (1, I). V= ESuppose that y2 + T1: = 1:23; + 3, and y[3] = 3. {all Find 1:13) = S {ta} Write the equation of the tangent line to the euwe it2 + T1: 2 may + 3 at the point (3, 3]. y= 2 Consider the some given by the equation 2:2 + 21: + my 2 6 do a Find = Z i ll d3 . dis _ {in} Use your answer from {a} and the equation oftne come to nd oi as a function of 1? only. it do _ = I do dgsr . {oi Use your answer from {o} to find E as a function of a: only. a: dzy _ = E {132 Consider the tune given by the equation w/E + J? = '5 {a} Find the oeriyatiye y'. at = z {or} Use your answer from {a} and the equation oftne curve to find 3:131]. That is y' as a function ofa: only. flit} = E [e] Eyaluate y\" [1] = I [o] Use your answer from {ti} to find 3;\" (:13) as a function of a: only. \"if\" (it) = E Find the slope of the tangent line to the curve 8(x2 + y?)2 = 100(x2 - y?) at the point (3, -1)