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Since ... and ... , there are points on the graphs of ... and ... where ... . These graphs are the special cases of ... where ... and ... . All points with ... can be found as intersections of the graph with the lines ... with slope ... . In this case, parametric equations in terms of ... have simple formulas. The graph of ... is black. The graph of interest, ... where ... , is blue for ... and red for ... , and is the graph of a function ... . The intersection points with ... and ... , for ... , and corresponding points on ... , are plotted. It is interesting to see that when ... is varied between 0 and 2, the graph of ... bows from concave up to concave down, and appears to be a line segment from ... to ... for some ... . The graphs of ... and ... are shown to help you decide whether the graph of ... for this ... really is straight. The special ... satisfies ... . The case ... is especially interesting because then the equation is equivalent to ... , which has a solution ... and ... . (The slider for ... can take values from -2 to 5.)

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      EUN,LOM,LRE4,work-cmr-id:398769,http://demonstrations.wolfram.com:http://demonstrations.wolfram.com/ADoubleExponentialEquation/,ilox,learning resource exchange,LRE metadata application profile,LRE

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