2. Let C be the graph of R(t) = (t sint, t³). a. Using the definition, show that Ŕ(t) is continuous at the origin. b. Find the unit tangent and unit normal vectors of R(t) to C at any real number t.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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2. Let C be the graph of R(t) = (t sint, t³).
a. Using the definition, show that Ŕ(t) is continuous at the origin.
b. Find the unit tangent and unit normal vectors of R(t) to C at any real
number t.
Transcribed Image Text:2. Let C be the graph of R(t) = (t sint, t³). a. Using the definition, show that Ŕ(t) is continuous at the origin. b. Find the unit tangent and unit normal vectors of R(t) to C at any real number t.
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