Problem. 7: Find the vectors T, N and B to the curve at the point (0, 5, 0). N = B r(t)= (5 ln(cos(t)), 5 cos(t), 5 sin(t)) ↑= ( ? ? ? |?) ? I

Advanced Engineering Mathematics
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ISBN:9780470458365
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Chapter2: Second-order Linear Odes
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Problem. 7: Find the vectors T, Ñ and B to the curve
at the point (0,5, 0).
N =
B
Problem. 8: Find T, Ñ, ar, and ay at the time t = 1 for the curve r(t) = -t² i 2t j.
T(1) =
N(1)
r(t) = (5 ln(cos(t)), 5 cos(t), 5 sin(t))
↑ =
at =
an =
?
?
?
?i+
?i+
?
?
?
?
?
?
? j
?
?
?
Transcribed Image Text:Problem. 7: Find the vectors T, Ñ and B to the curve at the point (0,5, 0). N = B Problem. 8: Find T, Ñ, ar, and ay at the time t = 1 for the curve r(t) = -t² i 2t j. T(1) = N(1) r(t) = (5 ln(cos(t)), 5 cos(t), 5 sin(t)) ↑ = at = an = ? ? ? ?i+ ?i+ ? ? ? ? ? ? ? j ? ? ?
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