Find the curvature of the function y=ln(3x) at x=3x=3. Find the radius of curvature at x=3x=3. If the radius is infinite, enter 'oo' for ∞∞. Find the center of curvature at x=3x=3. If the center of curvature does not exist, enter "DNE". Hint if needed: Multiply the normal vector by the radius of curvature, and then add this vector quantity to the position vector. The components of the result will be the coordinates of the center of curvature. :) Note: For very large or very small numbers you will probably wish to use scientific notation to enter your answers.
Find the curvature of the function y=ln(3x) at x=3x=3. Find the radius of curvature at x=3x=3. If the radius is infinite, enter 'oo' for ∞∞. Find the center of curvature at x=3x=3. If the center of curvature does not exist, enter "DNE". Hint if needed: Multiply the normal vector by the radius of curvature, and then add this vector quantity to the position vector. The components of the result will be the coordinates of the center of curvature. :) Note: For very large or very small numbers you will probably wish to use scientific notation to enter your answers.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Find the curvature of the function
y=ln(3x)
at x=3x=3.
Find the radius of curvature at x=3x=3. If the radius is infinite, enter 'oo' for ∞∞.
Find the center of curvature at x=3x=3. If the center of curvature does not exist, enter "DNE".
Hint if needed: Multiply the normal
Note: For very large or very small numbers you will probably wish to use scientific notation to enter your answers.
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