the line $\displaystyle y=mx$ intersects the curve $\displaystyle y=e^x$ at two distinct points, write an inequality for $\displaystyle m$
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Originally Posted by Punch the line $\displaystyle y=mx$ intersects the curve $\displaystyle y=e^x$ at two distinct points, write an inequality for $\displaystyle m$ HINT: The line $\displaystyle y=ex$ intersects the graph in one point.
Originally Posted by Plato HINT: The line $\displaystyle y=ex$ intersects the graph in one point. So, i have to find b^2-4ac=0 and find m at that point, then the inequality would be m>that value found because any line steeper would intersect twice. then, mx=e^x but how am i supposed to form a quadratic equation of this
Where did you get a, b, and c? Other hint: Where does the line y = 10000000000*x intersect y = e^x?
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