2. Let C be the part of the curve z = y in the plane x = 1 from (1,2,4) to (1,0,0). Consider a cable in the shape of C with mass per unit length p(x, y, z) =√√4+18.xyz. (a) Write down a parametrisation for C in terms of an increasing parameter t. (b) Use MATLAB to sketch C in R³. (c) Determine the mass of the cable.
2. Let C be the part of the curve z = y in the plane x = 1 from (1,2,4) to (1,0,0). Consider a cable in the shape of C with mass per unit length p(x, y, z) =√√4+18.xyz. (a) Write down a parametrisation for C in terms of an increasing parameter t. (b) Use MATLAB to sketch C in R³. (c) Determine the mass of the cable.
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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