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3. A curved surface is described by z =(x² + y³)³/4. a plot of the surface -4-3-2-1 0 1 2 3 4 2 0 -2-4 The red curve on this surface is described by x(T) = T y(T) = 0 The red curve starts at 7 = 0 and ends at 7 = 3. What's the arc length of the red curve? You might need the integral |VI+r dr = (1+ T)8/2 + const. 3

3. A curved surface is described by z =(x² + y³)³/4. a plot of the surface -4-3-2-1 0 1 2 3 4 2 0 -2-4 The red curve on this surface is described by x(T) = T y(T) = 0 The red curve starts at 7 = 0 and ends at 7 = 3. What's the arc length of the red curve? You might need the integral |VI+r dr = (1+ T)8/2 + const. 3

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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3. A curved surface is described by z =(x² + y²)³/4. 84 a plot of the surface -4-3-2-1 0 1 2 3 4 2 0 -2-4 y The red curve on this surface is described by x(T) = T y(T) = 0 %3D The red curve starts at T = 0 and ends at T = 3. What's the arc length of the red curve? You might need the integral | VI+r dr = (1+ T)/2 + const. 2 (1+T)3/2 + const.
Transcribed Image Text:3. A curved surface is described by z =(x² + y²)³/4. 84 a plot of the surface -4-3-2-1 0 1 2 3 4 2 0 -2-4 y The red curve on this surface is described by x(T) = T y(T) = 0 %3D The red curve starts at T = 0 and ends at T = 3. What's the arc length of the red curve? You might need the integral | VI+r dr = (1+ T)/2 + const. 2 (1+T)3/2 + const.
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