Compute the tangent vectors to the given path. c(t)=(t\sin t,4t)

Sherry Becker

Sherry Becker

Answered question

2021-11-13

Compute the tangent vectors to the given path.
c(t)=(tsint,4t)

Answer & Explanation

romancemrf

romancemrf

Beginner2021-11-14Added 14 answers

By definition the tangent vector at time is given with c(t)
Calculating the derivative component-wise we get:
c(t)=((tsint),(4t))=(sint+tcost,4)
Result:
c(t)=((tsint),(4t))=(sint+tcost,4)

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