Answer: Finding Vectors In Exercises 3742, find and at the given time for the space
Chapter 12, Problem 40(choose chapter or problem)
Finding Vectors In Exercises 37-42, find T(t), N(t), \(a_{\mathrm{T}}\), and \(a_{\mathrm{N}}\) at the given time t for the space curve r(t). [Hint: Find a(t), T(t), \(a_{\mathrm{T}}\), and \(a_{\mathrm{N}}\). Solve for N in the equation \(a(t)=a_{\mathrm{T}} \mathbf{T}+a_{\mathrm{N}} \mathbf{N}\)
Vector-Valued Function Time
\(\mathbf{r}(t)=(2 t-1) \mathbf{i}+t^{2} \mathbf{j}-4 t \mathbf{k}\) t = 2
Text Transcription:
a_T
a_N
a(t)=a_T T + a_N N
r(t)=(2t-1)i+t^2j - 4tk
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