QUESTION 1 a) Determine the domain of the function f (x) = v7x -10. (3 marks) b) Use the limit of laws to evaluate x2 9 i) lim x--3x + 3 (3 marks) -10x4 - 12x3 - 2x ii) lim 2x4 - 5x + 9 (4 marks) 3 sin 7x iii) lim 3x + eox + (4 marks) c) Find the value of a if f (x) = ax + 3 and f of (2) = 3 (6 marks) QUESTION 2 a) Using the definition of derivative, find the tangent of f (x) = _ at x = 2. (5 marks) b) Find - for y = 5 cos 4x + vx - In(x2 + 3x + 6)+ 10x (5 marks) c) Use implicit differentiation to find ~ for y3 = y - 4x3 -605* + 2 sinx (5 marks) d) Using linear approximation to estimate 9.0012 + 2 19.001. Give your answer up to four decimal places