Although they are not defined on all of space R 3 , the fields associated with are

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Although they are not defined on all of space R³, the fields associated with are conservative. Find a potential function for each field and evaluate the integrals as in Example 6.

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Thomas Calculus Early Transcendentals

ISBN: 9780321884077

13th Edition

Authors: Joel R Hass, Christopher E Heil, Maurice D Weir

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Question Posted: May 11, 2023 04:22 AM

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Although they are not defined on all of space R 3 , the fields associated with are

Question:

EXAMPLE 6 Show that y dx + x dy + 4 dz is exact and evaluate the integral (2,3,-1) y dx + x dy + 4 dz (1,1,1) over any path from (1, 1, 1) to (2, 3, -1).

Step by Step Answer:

To find the potential function for the given vector field we need to find a scalar function whose gradient is equal to the vector field Lets find the ...View the full answer

Thomas Calculus Early Transcendentals

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