13. Let f(:r) = 2:2. (a) [3 marks] Find the equation of the tangent line to f (3:) at the point (3:0,1'2). Your answer should be in the form 3; = mm + b, and may include the quantity 51:0. Answer: (b) [3 marks] Imagine you were given a numerical value for 3:0. Explain in 13 sentences how you would determine whether or not the tangent line described in part (a) passes through the point (2, 3). (c) [1 mark] Write down the equations of all tangent lines to f (1:) that pass through the point (0, 0). Your answer(s) should be in the form 3,! = ms: + 6. Your answer(s) do not have to be justied. Answer: Student numb er: 19 (d) [3 marks] Let g > 0. How many tangent lines to f(33) pass through the point (0, q)? (Remember to justify your answer.) Answer : (e) [4 marks] Let g > 0. Find the equations of all tangent lines to f(a:) that pass through the point (0, sq). Your answer(s) should be in the form y = mar + b. Answer 2 Student number: 20