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1) Use finite approximation to estimate the area under the graph of f(x) = x^2 and...

1) Use finite approximation to estimate the area under the graph of f(x) = x^2 and above the graph of f(x) = 0 from Xo = 0 to Xn= 2 using

i) a lower sum with two rectangles of equal width

ii) a lower sum with four rectangles of equal width

iii) an upper sum with two rectangles of equal width

iv) an upper sum with four rectangles if equal width

2) Use finite approximation to estimate the area under the graph of the function f(x) = 24 -x^2+2x between x= - 4 and x=6 for each of the following cases

a) Using a lower sum with two rectangles of equal width

b) Using a lower sum with four rectangles of equal width

c) Using an upper sum with two rectangles of equal width

d) Using an upper sum with four rectangles if equal width

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