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The vector function r(t) = (1+2 cost) i+3j+(5 – 2 sin t) k | traces out a circle in 3-space as t varies. De- termine the radius and center of this circle.

The vector function r(t) = (1+2 cost) i+3j+(5 – 2 sin t) k | traces out a circle in 3-space as t varies. De- termine the radius and center of this circle.

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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1. radius = 2, center (3, 1, 5) 2. radius = 1, center (3, 1, –5) 3. radius = 2, center = (5, 1, 3) 4. radius = 1, center (3, 1, 5) 5. radius 2, center = (1, 3, 5) 6. radius = 1, center (-5, 1, 5)
Transcribed Image Text:1. radius = 2, center (3, 1, 5) 2. radius = 1, center (3, 1, –5) 3. radius = 2, center = (5, 1, 3) 4. radius = 1, center (3, 1, 5) 5. radius 2, center = (1, 3, 5) 6. radius = 1, center (-5, 1, 5)
The vector function r(t) (1+2 cos t) i+ 3j+(5 – 2 sin t) k traces out a circle in 3-space as t varies. De- termine the radius and center of this circle.
Transcribed Image Text:The vector function r(t) (1+2 cos t) i+ 3j+(5 – 2 sin t) k traces out a circle in 3-space as t varies. De- termine the radius and center of this circle.
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