QUESTION 1 (10 MARKS)- for implicit and higher order Find - and y dz dz2 for function In(zy) + absin?(y) = aezz where b and a are certain constants. QUESTION 2 (6 MARKS) - linear approximation and differential Estimate (730) + (730)3 - 8 by using linearization. Compare the result with actual value and give your opinion. QUESTION 3 (10 MARKS)- concept about min/max/ MVT a) State the second derivative test for local extrema. (2 marks) b) Given a function f (x) = x - = on the interval [-5,-1]. i. Find the value of k if the function has a local maximum at x = -2 and prove it has local maximum. (5 marks) ii. Find the absolute maximum and minimum value. (2 marks) 111. Find the inflection point if exist. (1 mark)