Use a CAS to perform the following steps in
Chapter 12, Problem 36CE(choose chapter or problem)
Use a CAS to perform the following steps in Exercises \(35–38\).
Plot the space curve traced out by the position vector \(r\).Find the components of the velocity vector \(d r / d t\).Evaluate \(d r / d t\) at the given point and determine the equation of the tangent line to the curve at \(r\left(t_{0}\right)\).Plot the tangent line together with the curve over the given interval.
\(r(t)=\sqrt{2 t i}+e^{t} j+e^{-t} k,-2 \leq t \leq 3, t_{0}=1\)
Equation Transcription:
Text Transcription:
35-38
r
dr/dt
r(t_0)
r(t) = sqrt 2ti +e^t j + e^-t k, -2 leq t leq 3, t_0=1
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