Question

In: Math

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

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

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

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

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

2, Using rectangles whose height is given by the value of the function 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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