Find the average value of $f$ over the given rectangle. $f_{ave}$ = $f(x, y) = 3x^2y$, R has vertices $(-1, 0)$, $(-1, 4)$, $(1, 4)$, $(1, 0)$.
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The rectangle R has vertices (-1, 0), (-1, 4), (1, 4), and (1, 0). To find the area of the rectangle, we can use the formula A = length * width. The length of the rectangle is the difference in x-coordinates of the vertices, which is 1 - (-1) = 2. The width of the Show more…
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