To determine To restrict: The domain of the vector function r ( t ) = 〈 2 + t , − 1 + t , 4 + 2 t 〉 to obtain a line segment from P ( 2 , − 1 , 4 ) to R ( 5 , 1 , 8 ) . Explanation The domain of a vector function r ⇀ ( t ) are the values of t at which all its components are defined. That is, the domain of r ⇀ ( t ) is the intersection of all the domain at where the components are defined. The given vector values function is r ( t ) = 〈 2 + t , − 1 + t , 4 + 2 t 〉 . Here the components 2 + t , − 1 + t and 4 + 2 t are linear. The domain of the linear function will be ℝ . So obtain the finite values of t for each component as follows. The component 2 + t can be written as t = − 2

Calculus: Early Transcendentals and MyLab Math with Pearson eText -- Title-Specific Access Card Package (3rd Edition) (Briggs, Cochran, Gillett & Schulz, Calculus Series)

3rd Edition

ISBN: 9780134995991

Author: William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz

Publisher: PEARSON

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Chapter 14.1, Problem 1QC

To determine

To restrict: The domain of the vector function r(t)=〈2+t,−1+t,4+2t〉 to obtain a line segment from P(2,−1,4) to R(5,1,8).

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Chapter 13, Problem 76RE

Chapter 14.1, Problem 2QC

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Chapter 14 Solutions

Calculus: Early Transcendentals and MyLab Math with Pearson eText -- Title-Specific Access Card Package (3rd Edition) (Briggs, Cochran, Gillett & Schulz, Calculus Series)

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