MATH 1680 Study Guide - Midterm Guide: Product Rule, Demand Curve
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That is, how many points in the plane satisfy both equations? (c) find an equation for the line connecting the centers of the circles. 3x x3 + 27 x + 3 (cid:0) 1 x (cid:0) 2 p. That is, use interval notation: (12 points) let h(x) = (x2 (cid:0) 9)2(2x (cid:0) 3)2. H (x) = 2(x2 (cid:0) 9) (cid:1) 2x(2x (cid:0) 3)2 + 2(x2 (cid:0) 9)2 (cid:1) 2(2x (cid:0) 3): Three of the zeros of h (x) are x = (cid:6)3 and x = 3=2. Find the point of equilibrium: (25 points) let f (x) = p x2 (cid:0) 5. (a) let h be a positive number. Suppose your answer is called g(h). (b) compute limh 0 g(h). (c) what is f (3)? (d) write an equation for the tangent line at x = 3. The total number of points available is 171. Use of calculator to circumvent ideas discussed in class will generally result in no credit.
