Please explain your answer. You may skip Question 2 part 4 (not required). Thanks a lot!

Question 1. Suppose that the tangent line to the graph of f(x) = x(6") at a = 1 is equal to the tangent line to the graph of g(x) = -5 + 1+ 10In(x + 1) at x =0. What is the value of the positive constant b, and what is the equation of the tangent line? Question 2. Consider the equation 3(x2 + y?)2 = 100xy. 1. (1 point) Show that (x, y) = (3, 1) is a solution to this equation. 2. (2 points) Show that if (To, yo) is a solution to this equation, then (yo, To) and (-To, -yo) are also solutions to this equation. 3. (4 points) Find dy d.x (3,1) dy dy 4. (2 points) Using your answer from part (2), deduce four points (x, y) such that dr (z,y) dr (3,1) 5. (1 point) What is dy (3.1) [Note: You do not need to compute the derivative from scratch]