本题目来源于试卷: Integral Calculus，类别为 IB数学
[问答题]
Let $f(x)=2 e^{\frac{t}{5}}$ and g(x)=m x , where $m \geq 0 $, and $-6 \leq x \leq 6$ . Let R be the region enclosed by the y -axis, the graph of f , and the graph of g .
1. Let m=2 .
a. Sketch the graphs of f and g on the same axes.
b. Find the area of R .
2. Consider all values of m such that the graphs of f and g intersect. Find the value of m that gives the greatest value for the area of R .
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