x2 + 1, above the x-axis 1. Consider the shaded area below the graph of the function y = and between the lines = -1 and x = 1, illustrated below. .2 y = x² + 1 -1.5 -0.5 0.5 1.5 (a) Use n = area. Notice that you cannot be certain whether this estimate is an overestimate or an underestimate because some rectangles miss shaded area and other rectangles include unshaded area. 4 rectangles and left endpoints for each rectangle to estimate the shaded (b) Use n = overestimate of the shaded area. : 4 rectangles and choose your sampled point to guarantee that you get an (c) Use n = underestimate of the shaded area. 5 rectangles and choose your sampled points to guarantee that you get an
x2 + 1, above the x-axis 1. Consider the shaded area below the graph of the function y = and between the lines = -1 and x = 1, illustrated below. .2 y = x² + 1 -1.5 -0.5 0.5 1.5 (a) Use n = area. Notice that you cannot be certain whether this estimate is an overestimate or an underestimate because some rectangles miss shaded area and other rectangles include unshaded area. 4 rectangles and left endpoints for each rectangle to estimate the shaded (b) Use n = overestimate of the shaded area. : 4 rectangles and choose your sampled point to guarantee that you get an (c) Use n = underestimate of the shaded area. 5 rectangles and choose your sampled points to guarantee that you get an
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.4: Definition Of The Derivative
Problem 50E
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