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The area of a region under a curve is greater than the area of an inscribed rectangle and less than the area of a circumscribed rectangle.

The area of a region under a curve is greater than the area of an inscribed rectangle and less than the area of a circumscribed rectangle. Intuitively, we understand that somewhere "between" the inscribed and circumscribed rectangles there is a rectangle whose area is precisely equal to the area of the region under the curve:

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Average Value = ba1ab(x)dx


The efficiency e (in % ) of an automobile engine is given by  e=0.768s − 0.00004s3 , where s is the speed (in km/h) of the car. Find the average efficiency with respect to the speed for s=32 km/h to s=88 km/h. Round the answer to one decimal place.

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Thus average... View the full answer

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​​ the average efficiency with... View the full answer

2 comments
  • if you need more help or clarification then can ask here in comments section, thank you.
    • ankurjainiitk
    • Jun 20, 2018 at 10:57pm
  • I just noticed i made a typo error in last step, while rounding off to one decimal place, it should be = 35.6 % not 33.6 % I hope you understand.
    • ankurjainiitk
    • Jun 21, 2018 at 1:06am

The average... View the full answer

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