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TYPE 1 Regions : Area of D= S [f ( x) - 9 ( x)] ax A region D in the (x, y)-plane is of
TYPE 1 Regions : Area of D= S [f ( x) - 9 ( x)] ax A region D in the (x, y)-plane is of Type I if it lies between two vertical lines and the graphs of two continuous functions f(x) and q(x) . D = {(x, y) la s x sb, q (x) sysf (x)}. f (x ) - " Top function " g (x ) - " Bottom function" 4 = f (x ) y = f ( x ) g = f ( x ) y= g(x) y =g(x ) y= g ( x ) TYPE 2 Regions : Area of D = S [fly ) -gly) ] dy fly ) gly ) fly ) - " Right function " fly ) gly ) - " Left function " x= gly) x =fly ) *= gly) x = fly )Exercise 4: Some regions may easily be viewed as both Type 1 and Type 2 regions. Why might you prefer one type over another? (The reading will help you to answer this, of course.)
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