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Find parametric equations for the line that is tangent to the given curve at the given parameter value. r(t) = (2 cos t) i + (t²-5 sin t) j+ (4 e³¹) k t = 0

Find parametric equations for the line that is tangent to the given curve at the given parameter value. r(t) = (2 cos t) i + (t²-5 sin t) j+ (4 e³¹) k t = 0

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 parametric equations for the line that is tangent to the given curve at the given parameter value. r(t) = (2 cos t) i + (t²-5 sin t) j+ (4 e³¹) k What is the standard parameterization for the tangent line? 13 x = 2t y y = 0 13 t = 0 z = 4t (Type expressions using t as the variable.)
Transcribed Image Text:Find parametric equations for the line that is tangent to the given curve at the given parameter value. r(t) = (2 cos t) i + (t²-5 sin t) j+ (4 e³¹) k What is the standard parameterization for the tangent line? 13 x = 2t y y = 0 13 t = 0 z = 4t (Type expressions using t as the variable.)
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