Consider the following equation and figure. a = 50 y a y = f(x) 2a x (a) By reading values from the given graph of f, use five rectangles to find a lower estimate and an upper estimate for the area A under the given graph of f from x = 0 to x = 100. A ≈ X (lower estimate) A ≈ (upper estimate) (b) Find new estimates using ten rectangles in each case. A (lower estimate) A = (upper estimate)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Consider the following equation and figure.
a = 50
a
A ≈
a
a
y = f(x)
2a x
(a) By reading values from the given graph of f, use five rectangles to find a lower estimate and an upper estimate for
the area A under the given graph of f from x = 0 to x = 100.
A
X (lower estimate)
(upper estimate)
(b) Find new estimates using ten rectangles in each case.
A ≈
(lower estimate)
A
(upper estimate)
Transcribed Image Text:Consider the following equation and figure. a = 50 a A ≈ a a y = f(x) 2a x (a) By reading values from the given graph of f, use five rectangles to find a lower estimate and an upper estimate for the area A under the given graph of f from x = 0 to x = 100. A X (lower estimate) (upper estimate) (b) Find new estimates using ten rectangles in each case. A ≈ (lower estimate) A (upper estimate)
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