The values of a function f (x, y, z) and vector field F(x, y, z) are given at six sample

Chapter 16, Problem 39

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The values of a function f (x, y, z) and vector field F(x, y, z) are given at six sample points along the path ABC in Figure 17. Estimate the line integrals of f and F along ABC. Point f (x, y, z) F(x, y, z) 1, 1 6 , 0 3 1, 0, 2 1, 1 2 , 0 3.3 1, 1, 3 1, 5 6 , 0 3.6 2, 1, 5 1, 1, 1 6 4.2 3, 2, 4 1, 1, 1 2 4.5 3, 3, 3 1, 1, 5 6 4.2 5, 3, 3 A = (1, 0

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