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Let r(t) (t2 + 1)i+ 4tj define a space curve in R2 for t 0. A. Sketch a graph of this curve. B. Sketch T(1) and N(1) on the curve. You do not need to actually find these vectors, just use what you know about them to show a sketch on the graph. C. As t increases, is the curvatuve, K, increasing, decreasing or remaining constant? Briefly explain your choice. Note that you do not need to find curvature to answer this question.

Let r(t) (t2 + 1)i+ 4tj define a space curve in R2 for t 0. A. Sketch a graph of this curve. B. Sketch T(1) and N(1) on the curve. You do not need to actually find these vectors, just use what you know about them to show a sketch on the graph. C. As t increases, is the curvatuve, K, increasing, decreasing or remaining constant? Briefly explain your choice. Note that you do not need to find curvature to answer this question.

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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Let r(t) = (t2 + 1)i+ 4tj define a space curve in R? for t>0. A. Sketch a graph of this curve. B. Sketch T(1) and N(1) on the curve. You do not need to actually find these vectors, just use what you know about them to show a sketch on the graph. C. As t increases, is the curvatuve, K, increasing, decreasing or remaining constant? Briefly explain your choice. Note that you do not need to find curvature to answer this question.
Transcribed Image Text:Let r(t) = (t2 + 1)i+ 4tj define a space curve in R? for t>0. A. Sketch a graph of this curve. B. Sketch T(1) and N(1) on the curve. You do not need to actually find these vectors, just use what you know about them to show a sketch on the graph. C. As t increases, is the curvatuve, K, increasing, decreasing or remaining constant? Briefly explain your choice. Note that you do not need to find curvature to answer this question.
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