Explanation Given info: Parametric equation of circle r → ( t ) = ( − 2 + Cos t ) i ∧ + 2 j ∧ + ( 3 − Sin t ) k ∧ Concept used: r → ( t ) = r 0 → + ( R Sin t i ∧ + R Cos t j ∧ + 0 k ∧ ) Represents an equation circle with center r 0 → and radius R in x y plane . r → ( t ) = r 0 → + ( 0 i ∧ + R Sin t j ∧ + R Cos t k ∧ ) Represents an equation of a circle with center r 0 → and radius R in yz plane . r → ( t ) = r 0 → + ( R Sin t i ∧ + 0 j ∧ + R Cos t k ∧ ) Represents an equation of circle with center r 0 → and R in x z plane . Calculation: r → ( t ) = ( − 2 + Cos t ) i ∧ + 2 j ∧ + ( 3 − Sin t ) k ∧ r → ( t ) = − 2 i ∧ + Cos i ∧ + 2 j ∧ + 3 k...

4th Edition

ISBN: 9781319050733

Author: Rogawski

Publisher: MAC HIGHER

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Chapter 14.1, Problem 4PQ

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What is the center of the circle with the following parameterization? $\vec{r} (t) = (- 2 + Cos t) \overset{\land}{i} + 2 \overset{\land}{j} + (3 - Sin t) \overset{\land}{k}$

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Chapter 14.1, Problem 3PQ

Chapter 14.1, Problem 5PQ

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Chapter 14 Solutions

CALCULUS (CLOTH)

Ch. 14.1 - Prob. 1PQ Ch. 14.1 - Prob. 2PQ Ch. 14.1 - Prob. 3PQ Ch. 14.1 - Prob. 4PQ Ch. 14.1 - Prob. 5PQ Ch. 14.1 - Prob. 6PQ Ch. 14.1 - Prob. 1E Ch. 14.1 - Prob. 2E Ch. 14.1 - Prob. 3E Ch. 14.1 - Prob. 4E

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What is the center of the circle with the following parameterization? r → ( t ) = ( − 2 + Cos t ) i ∧ + 2 j ∧ + ( 3 − Sin t ) k ∧

Solution Summary: The author explains how to determine the center of the circle with the following parameterization.

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What is the center of the circle with the following parameterization? $\vec{r} (t) = (- 2 + Cos t) \overset{\land}{i} + 2 \overset{\land}{j} + (3 - Sin t) \overset{\land}{k}$

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Chapter 14 Solutions

What is the center of the circle with the following parameterization? r → ( t ) = ( − 2 + Cos t ) i ∧ + 2 j ∧ + ( 3 − Sin t ) k ∧

Solution Summary: The author explains how to determine the center of the circle with the following parameterization.

Videos

What is the center of the circle with the following parameterization?r→(t)=(−2+Cost)i∧+2j∧+(3−Sint)k∧

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Chapter 14 Solutions

What is the center of the circle with the following parameterization? $\vec{r} (t) = (- 2 + Cos t) \overset{\land}{i} + 2 \overset{\land}{j} + (3 - Sin t) \overset{\land}{k}$