MATH103 Final: Final Exam Winter 2013
Document Summary
Read these instructions carefully: this examination has 13 questions. Give reasons for your answer. f (x) = ( 2 3x x2 x + 3 if x 1 if x > 1. 4: (5 marks) find the equation of the tangent line to the curve y = 3x2 + 1 at x = 1, (5 marks) if f (x) = 2 x . 3 x and f (1) = 2, nd f (x). 5: (9 marks) for the function f (x) = x3 6x2 + 9x 2, determine where the function is increasing and decreasing, and where its graph is concave up and concave down. Find the relative exterma and in ection points, and sketch the graph of the function. 6: (9 marks) the abc store has been selling radios at a piece, and at this price, consumers have been buying 3000 radios per month. increase in the price, 1000 fewer radios will be sold each month.
