Please answer question 2 only (do not attempt part 4) and explain each step thoroughly.

Question 1. Suppme that the tangent line to the graph of at} 2 I'VE} at I = i is equal to the tangent line to the graph of 9(3) : 5 + l + 1'"! inf; + l} at m = . What is the vaJue of the positive constant in, and what is the equation of the tangent line? Question 2. Consider the equation 3(312 + y2 2 = imy. 1. [1 point} Show that (3:, y} = 3, 1} is a solution to this equation. 2. [2 points} Show that if {$9.33.} is a solution to this equation, then [Hm-Tn} and {39, m} are also solutions to this equation. d 3. [at points) Find 3 . \"I (3.1:: . . . d3; dy 4. [2 points} Using your answer from part (2), deduce four points {any} such that = - d\" {2.9} \"E {2.1} d 5. [1 point) What is a; . [Note: You do not need to compute the derivative from scratch} J {311}