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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
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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The area and distance problems and definite integral

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
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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