Question: (a) Estimate the area under the graph off(x)=1+2x2fromx=1tox=2using three rectangles and right endpoints.R3=Then improve your estimate by using six rectangles.R6=Sketch the curve and the approximating
(a) Estimate the area under the graph off(x)=1+2x2fromx=1tox=2using three rectangles and right endpoints.R3=Then improve your estimate by using six rectangles.R6=Sketch the curve and the approximating rectanglesforR3.Sketch the curve and the approximating rectanglesforR6.(b) Repeat part (a) using left endpoints.Sketch the curve and the approximating rectanglesforL3.Sketch the curve and the approximating rectanglesforL6.(c) Repeat part (a) using midpoints.Sketch the curve and the approximating rectanglesforM3.Sketch the curve and the approximating rectanglesforM6.(d) From your sketches in parts (a)-(c), which appears to be thebest estimate?M6R6L6
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