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Home » Use the formula: \(a_n = ar^n-1\). - Treasure Valley Movers

Use the formula: \(a_n = ar^n-1\). - Treasure Valley Movers

📅 April 16, 2026 👤 scraface

Apr 16, 2026

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angle = \langle -1 + 3t, 4 - 2t, -5 + 3t
To minimize the distance, minimize $\|\overrightarrow{CP}\|^2$:
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
Take derivative and set to zero:
rac{d}{dt}(42 - 52t + 22t^2) = -52 + 44t = 0 \Rightarrow t = rac{13}{...
Substitute $t = rac{13}{11}$ into $\mathbf{r}(t)$:
P = \langle 1 + 3\cdotrac{13}{11}, 3 - 2\cdotrac{13}{11}, -2 + 3\cdo...
angle = \left\langle rac{50}{11}, rac{7}{11}, rac{17}{11}

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