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4x² + 2√√3xy + 2y² = 1 ugh what angle should the axes be rotated so that the term xy e the transformed equation. etermine x so that the line passing through the point (3, 4) and angle of135° with the positive direction of the y. ayis

4x² + 2√√3xy + 2y² = 1 ugh what angle should the axes be rotated so that the term xy e the transformed equation. etermine x so that the line passing through the point (3, 4) and angle of135° with the positive direction of the y. ayis

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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(a)Given the equation 4x² + 2√√3xy + 2y² = 1 Through what angle should the axes be rotated so that the term xy is rem frome the transformed equation. (b) Determine x so that the line passing through the point (3, 4) and (x, 5) make angle of135° with the positive direction of the x-axis.
Transcribed Image Text:(a)Given the equation 4x² + 2√√3xy + 2y² = 1 Through what angle should the axes be rotated so that the term xy is rem frome the transformed equation. (b) Determine x so that the line passing through the point (3, 4) and (x, 5) make angle of135° with the positive direction of the x-axis.
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