Find the radius of curvature of the following curve at the given point. Then write the equation of the circle of curvature at the point. The radius of curvature at a point P is given by where x is the curvature at P. y= In 10x at x 10 The radius of curvature at xE - 1.01/101 10 (Type an exact answer, using radicals as needed) The equation of the circle of curvature at x= 10 (Type an exact answer, using radicals as needed.)

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
(Type an exact answer, using radicals as needed.)
1
The equation of the circle of curvature at x=
is X=
10
is (x- (D)’• (v- (D)²-]
(Type an exact answer, using radicals as needed.)
Transcribed Image Text:(Type an exact answer, using radicals as needed.) 1 The equation of the circle of curvature at x= is X= 10 is (x- (D)’• (v- (D)²-] (Type an exact answer, using radicals as needed.)
Find the radius of curvature of the following curve at the given point. Then write the equation of the circdle of curvature at the point. The radius of curvature at a
point P is given by = where x is the curvature at P.
y= In 10x at x=
10
The radius of curvature at x=
m-
is
= 1.01/101
10
(Type an exact answer, using radicals as needed)
The equation of the circle of curvature at x=
10
(Туре
(Type an exact answer, using radicals as needed.)
Transcribed Image Text:Find the radius of curvature of the following curve at the given point. Then write the equation of the circdle of curvature at the point. The radius of curvature at a point P is given by = where x is the curvature at P. y= In 10x at x= 10 The radius of curvature at x= m- is = 1.01/101 10 (Type an exact answer, using radicals as needed) The equation of the circle of curvature at x= 10 (Туре (Type an exact answer, using radicals as needed.)
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