MATH 211 Midterm: MATH 211 NIU s03Test2rev prob
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Math 211 c review for exam ii on 3/21/03. Find the coordinates of: (20 pts) sketch the graph of the function f (x) = x3 3x2 1. 2x2 x2 16 (a) f (x) = (b) critical points (if any); where the graph is increasing; where the graph is decreasing; (c) the vertical and horizontal asymptotes. (d) given f (x) = #1,2,6 from exam iii, 11/15/02: (10 pts; see p 243 example 6) Find the absolute maximum and minimum values of f (x) = 5x + 35 x on the interval [1, 5]: (15 pts; p 254 example 4) A stereo manufacturer determines that in order to sell x units of a new stereo, the price per unit must be p = 1000 x. The manufacturer also determines that the total cost of producing x units is given by. How many units must the company produce and sell in order to maximize pro t: (20 pts; p 263 #33)
