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2. The graph of a curve parametrized as r(t) is shown below. On the axes, tick marks are one unit apart. r(0) r(1) (a) Which is greater: K(0) or K(1)? (b) Draw in T(1) and N(1) in the appropriate translated position so that we can see their relationshiop to the curve. (c) Put a "c" on the graph at all points (approximately) where we can see by inspection that the unit normal vector will not exist.

2. The graph of a curve parametrized as r(t) is shown below. On the axes, tick marks are one unit apart. r(0) r(1) (a) Which is greater: K(0) or K(1)? (b) Draw in T(1) and N(1) in the appropriate translated position so that we can see their relationshiop to the curve. (c) Put a "c" on the graph at all points (approximately) where we can see by inspection that the unit normal vector will not exist.

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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2. The graph of a curve parametrized as r(t) is shown below. On the axes, tick marks are one unit apart. r(0) (a) Which is greater: K(0) or K(1)? (b) Draw in T(1) and N(1) in the appropriate translated position so that we can see their relationshiop to the curve. (c) Put a "c" on the graph at all points (approximately) where we can see by inspection that the unit normal vector will not exist. (d) Is this curve parametrized using an arc length parametrization? Ex- plain how you know.
Transcribed Image Text:2. The graph of a curve parametrized as r(t) is shown below. On the axes, tick marks are one unit apart. r(0) (a) Which is greater: K(0) or K(1)? (b) Draw in T(1) and N(1) in the appropriate translated position so that we can see their relationshiop to the curve. (c) Put a "c" on the graph at all points (approximately) where we can see by inspection that the unit normal vector will not exist. (d) Is this curve parametrized using an arc length parametrization? Ex- plain how you know.
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