Given the Space curve r(t) = ( cos(t), sin(2t), Sin (1.5 t)): of the domain interval [0₁] such that a.) determine the end entile the curve is traced once. Explain How this makes sense iven Vector function, Chint: Set t = end of one cycle on unit circle & Find LCM) 5.) Calculate r'ct) & r"(t). Show Your work. =.) Calculate the unit tangent Vector, T₁ at t = = = Show Your work.

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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I need parts d and e please

Calculus 3:
Given the Space curve r(t) = (cos(t), sin(2t), Sin (1.5 t)):
of the domain
domain interval [0₁_] such that
curve is traced once. Explain How this makes sense
given Vector function, (hint: Set t = end of one cycle on unit circle ↳ Find LCM)
a.) determine the end
entile
the
6.) Calculate r'ct) & r"(t). Show Your work.
C.) Calculate the unit tangent Vector, T, at t = = = . Show Your work.
d.) graph r(t) & r' (t) } ["(t). Include this graph. Make sure to identify
the
Vectors.
e) clear the velocity & acceleration vectors, graph the point on
curve at
t==1/giph r(t), r (16), and I at
this graph.
the
the Point. Include
Transcribed Image Text:Calculus 3: Given the Space curve r(t) = (cos(t), sin(2t), Sin (1.5 t)): of the domain domain interval [0₁_] such that curve is traced once. Explain How this makes sense given Vector function, (hint: Set t = end of one cycle on unit circle ↳ Find LCM) a.) determine the end entile the 6.) Calculate r'ct) & r"(t). Show Your work. C.) Calculate the unit tangent Vector, T, at t = = = . Show Your work. d.) graph r(t) & r' (t) } ["(t). Include this graph. Make sure to identify the Vectors. e) clear the velocity & acceleration vectors, graph the point on curve at t==1/giph r(t), r (16), and I at this graph. the the Point. Include
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