ot . Consider the function defined by f(z) =In(y/|1 z2|). e (1 mark) State the domain of this function. (2 marks) Determine the derivative of In(,/|1 z2|). Be careful to show all your work. . (3 marks) Evaluate lim 2 sin(x) sin(2x) z0 2e* 2 2z 2 . (4 marks) A farmer wants to fence in a rectangular field. The farmer must use a different type of fencing for each pair of parallel sides of the field. One type costs $10 per metre, and the other type costs $5 per metre. Assuming the farmer can spend $800 on fencing in total, what are the dimensions of the largest possible field she could make? . (3 marks) Use logarithmic differentiation to find a formula for f'(x) if f(z) = 25" (2 1)?(322 4-2)%. . (4 marks) Find the point on the parabola z? = 2y that is closest to the point (4, 1)