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'ind parametrizations (a) The line from (a, b) to (c,d). (b) A path from (2,0) to (0, −2) along a circle of radius 2 the “short way" around. (c) The intersection of x + 2y + 3z 6 and x² + y² = 9. for the following curves. Don't forget to give the bounds on t. =

'ind parametrizations (a) The line from (a, b) to (c,d). (b) A path from (2,0) to (0, −2) along a circle of radius 2 the “short way" around. (c) The intersection of x + 2y + 3z 6 and x² + y² = 9. for the following curves. Don't forget to give the bounds on t. =

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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Find parametrizations for the following curves. Don’t forget to give the bounds on \( t \). (a) The line from \( (a, b) \) to \( (c, d) \). (b) A path from \( (2,0) \) to \( (0,-2) \) along a circle of radius 2 the “short way” around. (c) The intersection of \( x + 2y + 3z = 6 \) and \( x^2 + y^2 = 9 \).
Transcribed Image Text:Find parametrizations for the following curves. Don’t forget to give the bounds on \( t \). (a) The line from \( (a, b) \) to \( (c, d) \). (b) A path from \( (2,0) \) to \( (0,-2) \) along a circle of radius 2 the “short way” around. (c) The intersection of \( x + 2y + 3z = 6 \) and \( x^2 + y^2 = 9 \).
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