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(a) ds, (b) Syds, (c) The average of y on C. y 2 1 آن 3 02 01 5 X

(a) ds, (b) Syds, (c) The average of y on C. y 2 1 آن 3 02 01 5 X

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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= 7.1. Let C be a line segment in the x,y plane with endpoints A and B. Consider two parametrizations of C: first X(t) A + t(B − A) for 0 ≤ t ≤ 1, and second Y(u) = B + u(A − B) for 0 ≤ u ≤ 2. Calculate the following integrals using both parametrizations. ds, (a) Sd So yds, (b) (c) The average of y on C. y 2 ميركا 1 3 02 LO 5 X
Transcribed Image Text:= 7.1. Let C be a line segment in the x,y plane with endpoints A and B. Consider two parametrizations of C: first X(t) A + t(B − A) for 0 ≤ t ≤ 1, and second Y(u) = B + u(A − B) for 0 ≤ u ≤ 2. Calculate the following integrals using both parametrizations. ds, (a) Sd So yds, (b) (c) The average of y on C. y 2 ميركا 1 3 02 LO 5 X
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