For the given position vectors r(t). compute the (tangent) velocity vector r' (t) for the given value of t. A) Let r(t) = (cos 3t, sin 3t). Then r'(4)=( B) Let r(t) = (², ³). Then r'(5)= ( C) Let r(t) = e³ti+e-5tj + tk. Then r' (1)= i+ j+ )? )? k?

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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For the given position vectors r(t),
compute the (tangent) velocity vector r' (t) for the given value of t.
A) Let r(t) = (cos 3t, sin 3t).
Then I'(4)=(
B) Let r(t) = (t², t³).
Then r' (5)= (
C) Let r(t) = e³ti+e-5tj + tk.
Then r' (1)=
i+
j+
)?
)?
k?
Transcribed Image Text:For the given position vectors r(t), compute the (tangent) velocity vector r' (t) for the given value of t. A) Let r(t) = (cos 3t, sin 3t). Then I'(4)=( B) Let r(t) = (t², t³). Then r' (5)= ( C) Let r(t) = e³ti+e-5tj + tk. Then r' (1)= i+ j+ )? )? k?
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