A spaceship travels on a path given by p(t) = (t, t^2 - 2t, t^2).(a) Find an equation for the tangent line to the path of the particle at t = 3.(b) The crew of the spaceship is tasked with the job of deflecting an asteroid in orderto save planet Earth. The spaceship is equipped with a laser beam that can firestraight ahead. The asteroid is located at (5,11, 21). At what time should the crewfire the laser?

A spaceship travels on a path given by p(t) = (t, t^2 - 2t, t^2).(a) Find an equation for the tangent line to the path of the particle at t = 3.(b) The crew of the spaceship is tasked with the job of deflecting an asteroid in orderto save planet Earth. The spaceship is equipped with a laser beam that can firestraight ahead. The asteroid is located at (5,11, 21). At what time should the crewfire the laser?

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.2: Graphs Of Equations

Problem 46E

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