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Let f(x, y, z) = x + yz and let C be the line segment from P = (0, 0, 0) to (8, 5, 5). (a) Calculate f(r(t)) and ds ||r'(t) || dt for the parametrization r(t) = (8t, 5t, 5t) for 0 st s 1. f(r(t)) = ds = dt (b) Evaluate f(x, y, z) ds.

Let f(x, y, z) = x + yz and let C be the line segment from P = (0, 0, 0) to (8, 5, 5). (a) Calculate f(r(t)) and ds ||r'(t) || dt for the parametrization r(t) = (8t, 5t, 5t) for 0 st s 1. f(r(t)) = ds = dt (b) Evaluate f(x, y, z) ds.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 18T
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Let f(x, y, z) = x + yz and let C be the line segment from P = (0, 0, 0) to (8, 5, 5). (a) Calculate f(r(t)) and ds ||r'(t) || dt for the parametrization r(t) = (8t, 5t, 5t) for 0 st s 1. f(r(t)) = ds = dt (b) Evaluate f(x, y, z) ds.
Transcribed Image Text:Let f(x, y, z) = x + yz and let C be the line segment from P = (0, 0, 0) to (8, 5, 5). (a) Calculate f(r(t)) and ds ||r'(t) || dt for the parametrization r(t) = (8t, 5t, 5t) for 0 st s 1. f(r(t)) = ds = dt (b) Evaluate f(x, y, z) ds.
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