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Unformatted text preview: instructed. Then evaluate the approximation, KEEPING YOUR WORK WRITTEN AS FRACTIONS. Note that if you have trouble evaluating f ( x ) with fractions, you may nd it helpful to write the function as 1 2 x (6-x ) . Approximation 1: Choose six rectangles of equal width with x * i = left end-point. Approximation: Approximation 2: Choose three rectangles of equal width with x * i = right endpoint. Approximation: Approximation 3: Choose four rectangles of equal width with x * i = midpoint. Approximation: Based on the pictures, which approximation is clearly an overestimation for the half of the arch on [ 0 , 3 ] ? which is clearly an underestimation? which looks like the best estimation? JUSTIFY your responses with a very brief explanation. How close is the best approximation for the whole arch (of the three you calculated)?...
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