Suppose an area S of a parabola y = x² illustrated in Figure 1.1 below is divided into four stripes S, S2, Są, and S, as shown in Figure 1.2 below; State the formulas to estimate the sum of the rectangles (R1,3 and R14) under the parabolic region S illustrated in Figures 1.3, 1.4 and the sum of areas of p rectangles. (1, 1) (1, 1) y-x S, Figure 1.1 Figure 1.2 (1, 1) (1, 1) y-r 4 Figure 1.3 Figure 1.4 /4 12
Suppose an area S of a parabola y = x² illustrated in Figure 1.1 below is divided into four stripes S, S2, Są, and S, as shown in Figure 1.2 below; State the formulas to estimate the sum of the rectangles (R1,3 and R14) under the parabolic region S illustrated in Figures 1.3, 1.4 and the sum of areas of p rectangles. (1, 1) (1, 1) y-x S, Figure 1.1 Figure 1.2 (1, 1) (1, 1) y-r 4 Figure 1.3 Figure 1.4 /4 12
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
The area and distance problems and definite

Transcribed Image Text:1.1 Suppose an area S of a parabola y = x² illustrated in Figure 1.1 below is divided into four
stripes S,, S2, S3, and Są as shown in Figure 1.2 below; State the formulas to estimate the
sum of the rectangles (R1.3 and R14) under the parabolic region S illustrated in Figures 1.3,
1.4 and the sum of areas of p rectangles.
y
(1, 1)
(1, 1)
y=x
y=x?
S,
Figure 1.1
Figure 1.2
(1, 1)
(1, 1)
y=x
4
2
Figure 1.3
Figure 1.4
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