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The position function of a spaceship is 4 t² + 1 and the coordinates of a space station are (8, 4, 9). The captain wants the spaceship to coast into the space station. When should the engines be turned off? r(t) = (5 + t)i + (2 + In(t))j + k

The position function of a spaceship is 4 t² + 1 and the coordinates of a space station are (8, 4, 9). The captain wants the spaceship to coast into the space station. When should the engines be turned off? r(t) = (5 + t)i + (2 + In(t))j + k

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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The position function of a spaceship is
r(t) = (5 + t) i + (2 + ln(t)) j + 
 
7 − 
4
t2 + 1
 
 k
and the coordinates of a space station are 
(8, 4, 9).
 The captain wants the spaceship to coast into the space station. When should the engines be turned off?
The position function of a spaceship is 4 - ( 7 - 2 + ₁ ) K k +1 r(t) = (5 + t)i + (2 + In(t))j + (7 and the coordinates of a space station are (8, 4, 9). The captain wants the spaceship to coast into the space station. When should the engines be turned off? t =
Transcribed Image Text:The position function of a spaceship is 4 - ( 7 - 2 + ₁ ) K k +1 r(t) = (5 + t)i + (2 + In(t))j + (7 and the coordinates of a space station are (8, 4, 9). The captain wants the spaceship to coast into the space station. When should the engines be turned off? t =
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