Find the velocity and acceleration vectors and the equation of the tangent line for the curve r(t) = 3 cos(t)i + sin(6t)j at t = 0. (Use symbolic notation and fractions where needed. Give your answer in the form (*,*).) v(0) = (0,6) 1(t) = (Use symbolic notation and fractions where needed. Give your answer in the form (*,*). Use t for the parameter that takes all real values.) Incorrect a(0) = (3,0) +t(0,6) (-3,0)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Find the velocity and acceleration vectors and the equation of the tangent line for the curve r(t) = 3 cos(t)i + sin(6t)j at t 0.
(Use symbolic notation and fractions where needed. Give your answer in the form (*,*).)
v(0)
1(t)
=
Incorrect
(0,6)
(Use symbolic notation and fractions where needed. Give your answer in the form (*,*). Use t for the parameter that takes all
real values.)
=
a(0) =
(3,0) +t(0,6)
(-3,0)
Transcribed Image Text:Find the velocity and acceleration vectors and the equation of the tangent line for the curve r(t) = 3 cos(t)i + sin(6t)j at t 0. (Use symbolic notation and fractions where needed. Give your answer in the form (*,*).) v(0) 1(t) = Incorrect (0,6) (Use symbolic notation and fractions where needed. Give your answer in the form (*,*). Use t for the parameter that takes all real values.) = a(0) = (3,0) +t(0,6) (-3,0)
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