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The Very Hungry Caterpillar munches his way along a path in three- dimensional Euclidean space described by the equations: r(s) = s +2 y(s) = 1 – 3s z(s) = 1– 2s in which s is a real parameter. (a) How close does the Caterpillar get to the origin? (b) How far is the VHC's path from the plane y = z - x+5?

The Very Hungry Caterpillar munches his way along a path in three- dimensional Euclidean space described by the equations: r(s) = s +2 y(s) = 1 – 3s z(s) = 1– 2s in which s is a real parameter. (a) How close does the Caterpillar get to the origin? (b) How far is the VHC's path from the plane y = z - x+5?

Advanced Engineering Mathematics
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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The Very Hungry Caterpillar munches his way along a path in three- dimensional Euclidean space described by the equations: x(8) = s+2 y(s) = 1 – 3s z(s) = 1 – 2s in which s is a real parameter. (a) How close does the Caterpillar get to the origin? (b) How far is the VHC's path from the plane y = z – x + 5?
Transcribed Image Text:The Very Hungry Caterpillar munches his way along a path in three- dimensional Euclidean space described by the equations: x(8) = s+2 y(s) = 1 – 3s z(s) = 1 – 2s in which s is a real parameter. (a) How close does the Caterpillar get to the origin? (b) How far is the VHC's path from the plane y = z – x + 5?
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