Question 3. (4 points for each part (a)-(d), graded for correctness) Let C be the curve dened by 3:2 4my+2y2 = 1. (a) Find all points in C where the tangent line to C has slope 1. Show all the necessary steps. (b) How many points are there in C where the tangent line is horizontal? Explain your answer. (c) Check that the graph of KI) = is contained in 0. That is, all points (2:, f(:1:)) satisfy the equation at the start of the problem. 23+ v222+2 2 (d) Does every point on the curve C lie on the graph of f (11:)? Explain your answer. HINT: Consider the points you found in part (b)