Explanation Given information: The first fundamental theorem using single variable calculus for the vector valued functions. A vector valued function r ( t ) = 〈 x ( t ) , y ( t ) , z ( t ) 〉 is differentiable if and only if each component is differentiable, and in this case, r ' ( t ) = d r ( t ) d t = 〈 x ' ( t ) , y ' ( t ) , z ' ( t ) 〉 If we use single variable calculus it will be; r ' ( t ) = d r ( t ) d t = 〈 x ' ( t ) 〉 Formula Used: If we use single variable calculus

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Author: FRANZOSA

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Chapter 14.2, Problem 70E

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To Prove:The second fundamental theorem using single variable calculus for the vector valued functions.

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Chapter 14.2, Problem 69E

Chapter 14.2, Problem 71E

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Chapter 14 Solutions

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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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To Prove: The second fundamental theorem using single variable calculus for the vector valued functions.

Solution Summary: The author explains the second fundamental theorem using single variable calculus for the vector valued functions.

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To Prove:The second fundamental theorem using single variable calculus for the vector valued functions.

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Chapter 14 Solutions