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1. (a) Let F(t) = (2 sin(3t), 2 cos(3t)) where t e[ o Determine F(증), 지중)지즐)지품) (ii) Let C = {7(t) : sIS). Sketch the curve C, labeling the points in (i) on your curve. 27 (b) Let 7(t) = (2 cos t + 3,3 sin t – 1) where t€ (0, 2m]. Let D= {T(t) : 0 < t < 2m}. (i) Find a Cartesian equation of curve D. (ii) Sketch curve D. Your diagram must also include the coordinates of the most left, most

1. (a) Let F(t) = (2 sin(3t), 2 cos(3t)) where t e[ o Determine F(증), 지중)지즐)지품) (ii) Let C = {7(t) : sIS). Sketch the curve C, labeling the points in (i) on your curve. 27 (b) Let 7(t) = (2 cos t + 3,3 sin t – 1) where t€ (0, 2m]. Let D= {T(t) : 0 < t < 2m}. (i) Find a Cartesian equation of curve D. (ii) Sketch curve D. Your diagram must also include the coordinates of the most left, most

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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1. (a) Let 7(t) = (2 sin(3t), 2 cos(3t)) where t € [; (1) Determine 7),7(),7(G),7). 27 (ii) Let C = {r(t) : sts). Sketch the curve C, labeling the points in (i) on your curve. (b) Let F(t) = (2 cos t + 3,3 sin t – 1) where t e (0, 2). Let D = {T(t) : 0 < t < 27}. %3D (i) Find a Cartesian equation of curve D. (ii) Sketch curve D. Your diagram must also include the coordinates of the most left, most right, most top and most bottom points, that is, the vertices of this curve.
Transcribed Image Text:1. (a) Let 7(t) = (2 sin(3t), 2 cos(3t)) where t € [; (1) Determine 7),7(),7(G),7). 27 (ii) Let C = {r(t) : sts). Sketch the curve C, labeling the points in (i) on your curve. (b) Let F(t) = (2 cos t + 3,3 sin t – 1) where t e (0, 2). Let D = {T(t) : 0 < t < 27}. %3D (i) Find a Cartesian equation of curve D. (ii) Sketch curve D. Your diagram must also include the coordinates of the most left, most right, most top and most bottom points, that is, the vertices of this curve.
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