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Question: Approximate the area of the region below the graph over the interval [1, 7] by using RRAM.[Use 12 rectangles.]



A ) 23 square units
B ) 40 square units
C ) 25 square units
D ) 29.25 square units

Steps to derive

1 The width of each rectangle is 12.


2 The areas of twelve rectangles and the total area are computed in the table below.
 [The height of each rectangle is the function value at the right - hand end point of corresponding subinterval.]


3 The total area of the region under the graph by using RRAM is approximately 29.25 square units.



Hence the right answer is Option D

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