4. Determinar dois vetores unitários, tangentes à curva defi...

Determinar dois vetores unitários, tangentes à curva definida pela função dada, no ponto indicado.

a) \vec{f}(t) = (e^t, t^2 + 1); P(1, 1, 1)

b) \vec{g}(t) = (4 + 2 cos(2), 2 - 2 sen(t), 1); P(4, 4, 1)

c) \vec{h}(t) = (\frac{1}{2}, t, \sqrt{t + 1}, t + 1); P(1, \sqrt{3}, 3)

d) \vec{r}(t) = (t cos(t), t sen(t), t); P(0, \frac{\pi}{2}, \frac{\pi}{2})

$4. Determinar dois vetores unitários, tangentes à curva definida pela função dada, no ponto indicado. a) \vec{f}(t) = (e^t, t^2 + 1); P(1, 1, 1) b) \vec{g}(t) = (4 + 2 cos(2), 2 - 2 sen(t), 1); P(4, 4, 1) c) \vec{h}(t) = (\frac{1}{2}, t, \sqrt{t + 1}, t + 1); P(1, \sqrt{3}, 3) d) \vec{r}(t) = (t cos(t), t sen(t), t); P(0, \frac{\pi}{2}, \frac{\pi}{2})$

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