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Use finite approximations to estimate the area under the graph of the function
Show the requested rectangles on the graph of the function.
f(x) = 4 x2 between x = -2 and x = 2
-2
a. Find the estimated area using a lower sum with four rectangles of equal width.
b. Find the estimated area using a upper sum with four rectangles of equal width.
c. Find the estimated area with four rectangles of equal width using the midpoint rules.
d. If the actual area is 32/3, what is the error percentage for the estimated area found using the midpoint rules.