3. [-/3 Points] DETAILS LARCALC12 12.4.016. Find the principal unit normal vector to the curve at the specified value of the parameter. r(t) = ti + \frac{4}{t}j, \quad t = 2 N(2) =
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T(t) = r'(t)/||r'(t)|| r'(t) = i - $$ \frac{4}{t^2} $$ j ||r'(t)|| = $$ \sqrt{1 + \frac{16}{t^4}} $$ = $$ \frac{\sqrt{t^4 + 16}}{t^2} $$ T(t) = (i - $$ \frac{4}{t^2} $$ j) / $$ \frac{\sqrt{t^4 + 16}}{t^2} $$ = $$ \frac{t^2}{\sqrt{t^4 + 16}} $$ i - $$ Show more…
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