Calculus
Calculus
7th Edition
ISBN: 9781524916817
Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE
Publisher: Kendall Hunt Publishing
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Question
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Chapter 10, Problem 1PE
To determine

To explain: a vector valued function.

Expert Solution & Answer
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Explanation of Solution

A vector valued function F of a real variable with domain D assigns each number t∈D with a unique vector F(t)

The set of all vectors of the form v=F(t) for t∈D is the range of F

  F(t)=f1(t)i^+f2(t)j^+f3(t)k^

Where, f1,f2 and f3 are real valued functions of t over the domain D

Vector valued functions can also be represented by;

  F(t)=〈f1(t),f2(t),f3(t)〉

Conclusion:

Therefore,Vector valued functions can also be represented by F(t)=〈f1(t),f2(t),f3(t)〉 .

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Chapter 10 Solutions

Calculus

Ch. 10.1 - Prob. 1PSCh. 10.1 - Prob. 2PSCh. 10.1 - Prob. 3PSCh. 10.1 - Prob. 4PSCh. 10.1 - Prob. 5PSCh. 10.1 - Prob. 6PSCh. 10.1 - Prob. 7PSCh. 10.1 - Prob. 8PSCh. 10.1 - Prob. 9PSCh. 10.1 - Prob. 10PS
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