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Problem 11

Some computer algebra systems have commands that …

Problem 10

With a programmable calculator (or a computer), it is possible to evaluate the expressions for the sums of areas of approximating rectangles, even for large values of $ n $, using looping. (On a TI use the Is> command or a For-EndFor loop, on a Casio use Isz, on an HP or in BASIC use a FOR-NEXT loop.) Compute the sum of the areas of approximating rectangles using equal subintervals and right endpoints for $ n $ = 10, 30, 50, and 100. Then guess the value of the exact area.

The region under $ y = \cos x $ from 0 to $ \pi/2 $


$R_{10}=0.919403, R_{30}=0.973592, R_{50}=0.98421$
$R_{100}=0.992125, \quad$ exact value guess: 1


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Video Transcript

So this is a computer problem. I leave that detail for you and to know how to set it up. I explain in problem night off this section. So if you want more information, please take a look at that.

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