For the following parameterized curve, find the unit tangent vector. r(t) = (e²t, 2e²t,2e6t), for t≥0 Select the correct answer below and, if necessary, fill in the answer boxes within your choice. ○ A. T(t) = (1.1.1 (Type exact answers, using radicals as needed.) B. Since r' (t) = 0, there is no tangent vector.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter6: Applications Of The Derivative
Section6.3: Implicit Differentiation
Problem 43E
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For the following parameterized curve, find the unit tangent vector.
r(t) = (e²t, 2e²t 2e6t), for t≥ 0
Select the correct answer below and, if necessary, fill in the answer
boxes within your choice.
OA. T(t)=
○A.
T(t) = (111)
(Type exact answers, using radicals as needed.)
B. Since r' (t) = 0, there is no tangent vector.
Transcribed Image Text:For the following parameterized curve, find the unit tangent vector. r(t) = (e²t, 2e²t 2e6t), for t≥ 0 Select the correct answer below and, if necessary, fill in the answer boxes within your choice. OA. T(t)= ○A. T(t) = (111) (Type exact answers, using radicals as needed.) B. Since r' (t) = 0, there is no tangent vector.
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