Graphical Reasoning Consider the region bounded by the graphs of
(a) Redraw the figure, and complete and shade the rectangles representing the lower sum when
(b) Redraw the figure, and complete and shade the rectangles representing the upper sum when
(c) Redraw the figure, and complete and shade the rectangles whose heights arc determined by the function values at the midpoint of each subinterval when
(d) Verify the following formulas for approximating the area of the region using n subintervals of equal width
Lower sum:
Upper sum:
Midpoinr rule:
(e) Use a graphing utility to create a table of value of s(n), S(n) and M(n) for
(f) Explain why s(n) increase and S(n) decrease for increase value of n as shown in the table in part (e).
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Chapter 5 Solutions
Calculus: Early Transcendental Functions (MindTap Course List)
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