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1, Using rectangles whose height is given by the value of the function at the midpoint...

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Basic Math

1, Using rectangles whose height is given by the value of thefunction at the midpoint of the​ rectangle's base, estimate thearea under the graph using the first two and then fourrectangles.

f(x)= x3 between x=2 and x=4

A, using two rectangles to estimate, the area under f(x) isapproximately = ---------?

B) using four rectangles to estimate, the area under f(x) isapproximately= ----------?

2, Using rectangles whose height is given by the value of thefunction at the midpoint of the​ rectangle's base​ (the midpoint​rule), estimate the area under the graph of the following​function, using two and then four rectangles.

y= 100 - x2 between x=-10 and 10

A) For two​ rectangles, area =------?

B) For four rectangles, area= ------?

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