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Find an equation for the circle of curvature of the curve r(t) = 8t i + sin(t) j at the point (4,1). (The curve parameterizes the graph of y = sin in the xy-plane.) An equation for the circle of curvature is . (Type an equation. Type an exact answer, using as needed.)

Find an equation for the circle of curvature of the curve r(t) = 8t i + sin(t) j at the point (4,1). (The curve parameterizes the graph of y = sin in the xy-plane.) An equation for the circle of curvature is . (Type an equation. Type an exact answer, using as needed.)

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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Find an equation for the circle of curvature of the curve r(t) = 8t i + sin(t) j at the point (4,1). (The curve (ਲ) 8 parameterizes the graph of y = sin in the xy-plane.) An equation for the circle of curvature is (Type an equation. Type an exact answer, using as needed.)
Transcribed Image Text:Find an equation for the circle of curvature of the curve r(t) = 8t i + sin(t) j at the point (4,1). (The curve (ਲ) 8 parameterizes the graph of y = sin in the xy-plane.) An equation for the circle of curvature is (Type an equation. Type an exact answer, using as needed.)
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