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You are the captain of a spacecraft whose navigation system has malfunctioned, sending the spacecraft onto a path with position vector r(t) = 4ti + 6t2j+t¹k (for t≥0). Your only hope is a repair satellite located at position (x, y, z) = (28,270, 1625). Position is measured in kilometers. Time is measured in hours. (a) Show that the spacecraft will not be able to dock with the repair satellite given the present course of r(t) = 4ti + 6t2j+t¹k.

You are the captain of a spacecraft whose navigation system has malfunctioned, sending the spacecraft onto a path with position vector r(t) = 4ti + 6t2j+t¹k (for t≥0). Your only hope is a repair satellite located at position (x, y, z) = (28,270, 1625). Position is measured in kilometers. Time is measured in hours. (a) Show that the spacecraft will not be able to dock with the repair satellite given the present course of r(t) = 4ti + 6t2j+t¹k.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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You are the captain of a spacecraft whose navigation system has malfunctioned, sending the spacecraft onto a path with position vector r(t) = 4ti + 6t2j+t¹k (for t≥0). Your only hope is a repair satellite located at position (x, y, z) = (28,270, 1625). Position is measured in kilometers. Time is measured in hours. (a) Show that the spacecraft will not be able to dock with the repair satellite given the present course of r(t) = 4ti + 6t2j+t¹k.
Transcribed Image Text:You are the captain of a spacecraft whose navigation system has malfunctioned, sending the spacecraft onto a path with position vector r(t) = 4ti + 6t2j+t¹k (for t≥0). Your only hope is a repair satellite located at position (x, y, z) = (28,270, 1625). Position is measured in kilometers. Time is measured in hours. (a) Show that the spacecraft will not be able to dock with the repair satellite given the present course of r(t) = 4ti + 6t2j+t¹k.
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