5. Let & be the curve with equation y² = x² - 6x² + 8x. (a) Find all real-valued points of & with x < 0. (b) Find the intersection of & with the line y = 0. (c) Find the maximum and minimum y-coordinates of points on & for which 0≤x≤ 2. (d) Find all integer-valued points on & with x ≤ 20.
5. Let & be the curve with equation y² = x² - 6x² + 8x. (a) Find all real-valued points of & with x < 0. (b) Find the intersection of & with the line y = 0. (c) Find the maximum and minimum y-coordinates of points on & for which 0≤x≤ 2. (d) Find all integer-valued points on & with x ≤ 20.
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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Transcribed Image Text:5. Let & be the curve with equation y² = x³ - 6x² + 8x.
(a) Find all real-valued points of & with x < 0.
(b) Find the intersection of & with the line y = 0.
(c) Find the maximum and minimum y-coordinates of points on & for which
0≤x≤ 2.
(d) Find all integer-valued points on & with x ≤ 20.
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