Set up the definite integral required to find the area of the region between the graph of $y = 16 - x^2$ and $y = 2x - 47$ over the interval $-3 \le x \le 6$. \begin{equation*} \int_{-3}^{6} \boxed{16 - x^2 - (2x - 47)} dx \end{equation*}
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Step 1: Find the points of intersection between the two functions y=16-x^(2) and y=2x-47 by setting them equal to each other: 16-x^(2) = 2x-47 Rearranging the equation, we get: x^(2) + 2x - 63 = 0 Factoring the quadratic equation, we get: (x+9)(x-7) = 0 So, x = -9 Show more…
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