. [8 points] Let > () be some constant and consider the plots of the functions f(x) = \"* and g(x) = \"* below. Let A = (a, f{a)) be the point where the tangent line of f goes through the origin and likewise B = (b, g(b)). 5 (a) [2 points] Find the equation of the tangent lines through A and B. Hint: This requires solving for a, b but as a function of . Please go on to the next page. .. Page 1 of 3 AT9004 Mathematical foundations for data science and Al Assignment 2 (b) [2 points] The tangent lines can be written in vector form as {vat:teR}and {vpt:t e R} What are the vectors v 4 and v and for what value of are these orthogonal (at right angles)? (c) [4 points] What is the area of the shaded region bounded by the tangent lines and the functions f(x) for x 07 Provided the answer for arbitrary values of = ()