2. Let C be the part of the curve z = y³ 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 lengthp(x, y, z)=√√4+18xyz.(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) Given that C is the part of the curve (a) Now we have to parameterize C with parameter t as…

Answered: 2. Let C be the part of the curve z = y…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Consider the curve C with parametrisation where t E R. r(t) = = cos(5t) cosh(t) i+ sin(5t) cosh(t) -j+tanh(t)k, (a) Show that C lies on the surface of the sphere described by the equation x² + y² + z² = 1. (b) Find the vector equation of the line L that is tangent to C at the point r(0).

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