Question: Graphing Systems of Non-linear Inequalities

I am aware of how to plot the feasible region defined by a system of linear inequalities (inequal in the plots package). Also, I can use the implicitplot command to plot the feasible region defined by a single nonlinear inequality. My question is, how do I plot the feasible region defined by a system of nonlinear inequalities. For example, how would a graph the region satisfying x>=0, y<=exp(-x), and y>=x^2?

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