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4. a) Set up, but do not evaluate, an integral for the length of y = 14-9x, -22 ≤ y ≤ 31 using, i) ds = dy √²+ dx ii) ds = 1 + dx dy dx dy

4. a) Set up, but do not evaluate, an integral for the length of y = 14-9x, -22 ≤ y ≤ 31 using, i) ds = dy √²+ dx ii) ds = 1 + dx dy dx dy

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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Question
4. a) Set up, but do not evaluate, an integral for the length of y = 14-9x, -22 ≤ y ≤ 31 using, dy =√²+ [2 dx i) ds = 1+ ii) ds 1+ dx dy dx dy b) Determine the length of y = 4(8x + 3) 3/2, 113/2 ≤ y ≤ 273/2.
Transcribed Image Text:4. a) Set up, but do not evaluate, an integral for the length of y = 14-9x, -22 ≤ y ≤ 31 using, dy =√²+ [2 dx i) ds = 1+ ii) ds 1+ dx dy dx dy b) Determine the length of y = 4(8x + 3) 3/2, 113/2 ≤ y ≤ 273/2.
3. Sketch the curve by eliminating the parameter and indicate the direction of increasing t. a) x = √t, y = 2t+4 b) x = sec²t, y = tan² t
Transcribed Image Text:3. Sketch the curve by eliminating the parameter and indicate the direction of increasing t. a) x = √t, y = 2t+4 b) x = sec²t, y = tan² t
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