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Let f(x, y, z) = x + yz and let C be the line segment from P = (0,0,0) to (2, 3, 8). (a) Calculate f(c(t)) and ds = ||c'(t)|| dt for the parametrization c(t) = (2t, 3t, 8t) for 0 ≤ t ≤ 1. (b) Evaluate fe f(x, y, z) ds. (a) f(c(t)) = (b) fc f(x, y, z) ds = ds dt

Let f(x, y, z) = x + yz and let C be the line segment from P = (0,0,0) to (2, 3, 8). (a) Calculate f(c(t)) and ds = ||c'(t)|| dt for the parametrization c(t) = (2t, 3t, 8t) for 0 ≤ t ≤ 1. (b) Evaluate fe f(x, y, z) ds. (a) f(c(t)) = (b) fc f(x, y, z) ds = ds dt

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 39RE
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Let f(x, y, z) = x + yz and let C be the line segment from P = (0,0,0) to (2, 3, 8). (a) Calculate f(c(t)) and ds = ||c'(t)|| dt for the parametrization c(t) = (2t, 3t, 8t) for 0 ≤ t ≤ 1. (b) Evaluate fe f(x, y, z) ds. (a) f(c(t)) = (b) fc f(x, y, z) ds = ds dt
Transcribed Image Text:Let f(x, y, z) = x + yz and let C be the line segment from P = (0,0,0) to (2, 3, 8). (a) Calculate f(c(t)) and ds = ||c'(t)|| dt for the parametrization c(t) = (2t, 3t, 8t) for 0 ≤ t ≤ 1. (b) Evaluate fe f(x, y, z) ds. (a) f(c(t)) = (b) fc f(x, y, z) ds = ds dt
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