The multivariable function (, ) = 32 + 2 72 + 13 6 + 4, find: i. (, ) (2 marks) ii. (, ) (2 marks) iii. (, ) (3 marks) B. The profit and cost functions for the sale of college polo shirts are given by and respectively. i. Derive the revenue function. (4 marks) ii. Determine marginal revenue function. (3 marks) iii. Determine the marginal profit function. (2 marks) iv. Determine the marginal cost function . (2 marks) v. Determine the marginal cost at . (2 marks) (Total 20 marks) Question 2 For the function () = 23 32 12 + 4, i. Find the y - intercept. (2 marks) ii. Locate the stationary points. (6 marks) iii. Determine the nature of the stationary points. (4 marks) iv. Find the point of inflection. (3 marks) v. Make a sketch of () = 23 32 12 + 4

Evaluate the following limits: i. lim (3 + x)2 - 9 (3 marks) x 0 x ii. lim x2 - 25 (3 marks) x 5 5 - x iii. lim 5x3 + 6x2 + 2 (3 marks) x 2x2 + 6x + 1 B. Differentiate the following functions with respect to 'x' i. y = (3x2 + 2x) (4x2 + 4x) (3 marks) ii. y = (3x2 - 5)5 (3 marks) iii. y = 6x2 - 4x (5 marks) 5x2 - 6