Sketch the region enclosed by the given curves. Draw a typical approximating rectangle and label its height and width and shade the area. Lastly, find its area.
1.) y = 3x + 2, y = 14 − x2, x = −1, x = 2
2.) y = 9 cos(πx), y = 8x2 − 2
3.) y = |5x|, y = x2 − 6
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