The values of a function (f(x, y, z)) and vector field (mathbf{F}(x, y, z)) are given at

Question:

The values of a function $f(x, y, z)$ and vector field $\mathbf{F}(x, y, z)$ are given at six sample points along the path $A B C$ in Figure 18. Estimate the line integrals of $f$ and $\mathbf{F}$ along $A B C$.

Point (1,2,0) (1, 1,0) (1,3,0) (1,1,1) (1, 1, 1) (1,1,2) f(x, y,z) 3 3.3 3.6 4.2 4.5 4.2 F(x, y, z) (1,0, 2)

A = (1, 0, 0) N C = (1, 1, 1) B=(1, 1,0)

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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Question Posted: Jan 23, 2024 12:02 PM

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The values of a function (f(x, y, z)) and vector field (mathbf{F}(x, y, z)) are given at

Question:

Point (1,2,0) (1, 1,0) (1,3,0) (1,1,1) (1, 1, 1) (1,1,2) f(x,y,z) 3 3.3 3.6 4.2 4.5 4.2 F(x, y, z) (1, 0, 2) (1, 1, 3) (2, 1,5) (3, 2, 4) (3,3,3) (5,3,3)

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We write the integrals as sum of integrals and estimate each integral by a Riemann Sum That is begin...View the full answer

Calculus

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