5.1.72 EQuestion Help Use a calculator and midpoint Riemann sums to approximate

Question

5.1.72 EQuestion Help Use a calculator and midpoint Riemann sums to approximate the area of the following region. Present your calculations in a table, showing approximations using n16, 32, and 64 subintervals. Comment on whether your approximations appear to approach a limit. The region bounded by the graph of f(x)- 144-x-| and the x-axis on the interval (0.24 Find the midpoint Riemann sum approximations for n 16, 32, and 64. Complete the table below. n Midpoint Riemann Sum 16 32 64 Type integers or decimals.)

Explanation / Answer

using calculator,

When n= 24

Midpoint sum is 3456

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When n= 32

Midpoint sum is 3456

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When n= 64

Midpoint sum is 3456

Clearly all appromixation are same, hence it approaches to the value 3456

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