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3 years ago

can someome please explain this, I got that only 2 was correct but that's not a choice. please and thank you

Advanced Placement (AP)

1 answer:

lukranit [14]3 years ago

5 0

The answer is B) 2 and 3

When you do a Riemann's sum, you split the interval into columns. In choice 3 we are told that there are 4 equal subdivisions meaning that each of the 4 columns are 1 wide. Since it is a left Riemann's sum we add the height of the column where the LEFT side crosses the curve. For [-1, 0], the height is -1, for [0, 1] it is 0, for [1, 2] it is 2, and for [2, 3] it is 3. Now add the heights together to get 4. Then you multiply by the width, but since the columns are 1 wide, the answer is still just 4.

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