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/ Take derivative and set to zero:
Take derivative and set to zero:
February 22, 2026
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D^2 = (-1 + 3t)^2 + (4 - 2t)^2 + (-5 + 3t)^2
= (1 - 6t + 9t^2) + (16 - 16t + 4t^2) + (25 - 30t + 9t^2) \
= 42 - 52t + 22t^2
rac{d}{dt}(42 - 52t + 22t^2) = -52 + 44t = 0 \Rightarrow t = rac{13}{11}
Substitute $t = rac{13}{11}$ into $\mathbf{r}(t)$:
P = \langle 1 + 3\cdotrac{13}{11}, 3 - 2\cdotrac{13}{11}, -2 + 3\cdotrac{13}{11}
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