Triangle under Exponential Curve Problem: A right triangle has one leg on the x-axis

Chapter 8, Problem 22

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Triangle under Exponential Curve Problem: A right triangle has one leg on the x-axis. The vertex at the right end of that leg is at the point (3, 0). The other vertex touches the graph of y = ex. The entire triangle is to lie in the first quadrant. Find the maximum area of this triangle. Justify your answer.

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