Evaluate the line integral F dr where the vector field and the curve are defined as follows: F(x, y, z) = -yzi+ czj+xyk r(t) = cos ti + sin tj + tk, 0

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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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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Evaluate the line integral
F dr
where the vector field and the curve are defined as follows:
F(x, y, z) = -yzi+ xzj+ xyk
r(t) = cos ti + sin tj + tk,
0<t<
2
Leave your answer exact and enter it in the box below.
Transcribed Image Text:Evaluate the line integral F dr where the vector field and the curve are defined as follows: F(x, y, z) = -yzi+ xzj+ xyk r(t) = cos ti + sin tj + tk, 0<t< 2 Leave your answer exact and enter it in the box below.
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