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r(e) = (3t - 5, t? + 2) (a) Find r'(t). r'(t) = (b) Sketch the plane curve together with the position vector r(t) and the tangent vector r'(t) for the given value of t = -1. y y 12 -10 -5 10 10 10 -2 8 6 -6 -12 -10 -8 -6 -2 -8 -10 -10 - 12 -10 -5 10 10 2 4 of 8 10 12 -5 -10

r(e) = (3t - 5, t? + 2) (a) Find r'(t). r'(t) = (b) Sketch the plane curve together with the position vector r(t) and the tangent vector r'(t) for the given value of t = -1. y y 12 -10 -5 10 10 10 -2 8 6 -6 -12 -10 -8 -6 -2 -8 -10 -10 - 12 -10 -5 10 10 2 4 of 8 10 12 -5 -10

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 18T
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Consider the following vector equation. r(t) = (3t - 5, t? + 2) (a) Find r'(t). r'(t) = (b) Sketch the plane curve together with the position vector r(t) and the tangent vector r'(t) for the given value of t = -1. y y y 12- -10 -5 10 10 10 -2 8 6 -12 - 10 -8 -6 -2 -8 -5 2 -10 -10 -10 -5 10 10 4 of 8 10 12 -5 - 10
Transcribed Image Text:Consider the following vector equation. r(t) = (3t - 5, t? + 2) (a) Find r'(t). r'(t) = (b) Sketch the plane curve together with the position vector r(t) and the tangent vector r'(t) for the given value of t = -1. y y y 12- -10 -5 10 10 10 -2 8 6 -12 - 10 -8 -6 -2 -8 -5 2 -10 -10 -10 -5 10 10 4 of 8 10 12 -5 - 10
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