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3. In the plane R², consider the parametric curve given by the equations Jx(t) = cos(t) +2 y(t) = sin(t) + 2 • Construct its cartesian equation and show that this curve represents a circumference, specifying which are the center and the radius • Find the maximum and the minimum distance of the curve from the origin and the points where these extreme distances occur • Consider now the square with his inside, formed by the x and y cartesian axis and by the lines x = 2 and y= 2. Let's call this set A. Part of the curve is inside A. Find the maximum and the minimum distance of the curve from the origin in the set A, and the points where these extreme distances occur

3. In the plane R², consider the parametric curve given by the equations Jx(t) = cos(t) +2 y(t) = sin(t) + 2 • Construct its cartesian equation and show that this curve represents a circumference, specifying which are the center and the radius • Find the maximum and the minimum distance of the curve from the origin and the points where these extreme distances occur • Consider now the square with his inside, formed by the x and y cartesian axis and by the lines x = 2 and y= 2. Let's call this set A. Part of the curve is inside A. Find the maximum and the minimum distance of the curve from the origin in the set A, and the points where these extreme distances occur

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 53E
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3. In the plane R², consider the parametric curve given by the equations [x(t) = cos(t) + 2 y(t) = sin(t) +2 • Construct its cartesian equation and show that this curve represents a circumference, specifying which are the center and the radius • Find the maximum and the minimum distance of the curve from the origin and the points where these extreme distances occur • Consider now the square with his inside, formed by the x and y cartesian axis and by the lines x = 2 and y= 2. Let's call this set A. Part of the curve is inside A. Find the maximum and the minimum distance of the curve from the origin in the set A, and the points where these extreme distances occur
Transcribed Image Text:3. In the plane R², consider the parametric curve given by the equations [x(t) = cos(t) + 2 y(t) = sin(t) +2 • Construct its cartesian equation and show that this curve represents a circumference, specifying which are the center and the radius • Find the maximum and the minimum distance of the curve from the origin and the points where these extreme distances occur • Consider now the square with his inside, formed by the x and y cartesian axis and by the lines x = 2 and y= 2. Let's call this set A. Part of the curve is inside A. Find the maximum and the minimum distance of the curve from the origin in the set A, and the points where these extreme distances occur
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