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1-36.

Notice that the right-most rectangle shown in the picture is not included in the given domain −3 ≤ x ≤ 3.

The area of each rectangle can be determined by A = bh The base, b, of each rectangle is 1.The height, h, of each rectangle can be determined by the function: y = (0.4)x² + 1.

A = (1)(4.6) + (1)(2.6) + (1)(1.4) + (1)(1) + (1)(1.4) + (1)(2.6) = __________

This is a hard one to visualize. Remember to consider only domain −3 ≤ x ≤ 3. Does it appear that the rectangles contain more area than the area under the parabola or less?

A = (0.4(−3)2 + 1) + (0.4(−2)2 + 1) + (0.4(−1)2 + 1) + (0.4(0)2 + 1) + (0.4(1)2 + 1) + (0.4(2)2 + 1) = 13.6

Consider the symmetry of the parabola on the given domain.

Use the eTool below to view the graphs.
Click the link at right for the full version of the eTool:. Calc 1-36 HW eTool