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The trajectory of a particle is given by the vector function r(t) = (2+³-1.-1² +1+1.-2³-3²-1) Calculate a linear approximation to the particle's trajectory at t=2. Use the notation (2, 3, 2) to denote vectors r(t)- Also find the tangent to the curve at t-2. Use the notation (z, y, z) to denote vectors, and a for the parameter. r(s)- Note: Please Do Not rescale (simplify) the direction vectors.

The trajectory of a particle is given by the vector function r(t) = (2+³-1.-1² +1+1.-2³-3²-1) Calculate a linear approximation to the particle's trajectory at t=2. Use the notation (2, 3, 2) to denote vectors r(t)- Also find the tangent to the curve at t-2. Use the notation (z, y, z) to denote vectors, and a for the parameter. r(s)- Note: Please Do Not rescale (simplify) the direction vectors.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.3: Vectors
Problem 45E
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The trajectory of a particle is given by the vector function r(t) = (2+3 -1.-12 +t+1-21³-31²-1) Calculate a linear approximation to the particle's trajectory at t= 2. Use the notation (x, y, z) to denote vectors. r(t) L Also find the tangent to the curve at t= 2. Use the notation (x, y, z) to denote vectors, and a for the parameter. r(s) - Note: Please Do Not rescale (simplify) the direction vectors.
Transcribed Image Text:The trajectory of a particle is given by the vector function r(t) = (2+3 -1.-12 +t+1-21³-31²-1) Calculate a linear approximation to the particle's trajectory at t= 2. Use the notation (x, y, z) to denote vectors. r(t) L Also find the tangent to the curve at t= 2. Use the notation (x, y, z) to denote vectors, and a for the parameter. r(s) - Note: Please Do Not rescale (simplify) the direction vectors.
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