Question: Consider the function \(f(x)=x^{2} \sqrt{4-x^{2}}+k\) ( \(k\) is constant) on the interval [-2,2].

1. Graph the function for $k=0, k=1$, and $k=2$
2. Find the centroid of the region bounded by \(x=-2\) and \(x=2, \quad y=f(x)\), \(y=0\), when \(k=0\).

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Solution: The downloadable solution consists of 2 pages
Deliverable: Word Document