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-6 -5 -4 -3 -2 -1 9+ 8 7 6 AS 4 + The parametric curve defined by [x = 4tπ sin(2t) y=4-π cos(2t) is shown above. The curve intersects itself at the point (0,4). Find the two distinct values of t that correspond to the point (0,4). Enter them as a comma-separated list. y = 1 2 3 4 5 6 Find the slopes of the tangent lines at the point (0,4). y = Write the equations of the tangent lines. List the line with negative slope first.

-6 -5 -4 -3 -2 -1 9+ 8 7 6 AS 4 + The parametric curve defined by [x = 4tπ sin(2t) y=4-π cos(2t) is shown above. The curve intersects itself at the point (0,4). Find the two distinct values of t that correspond to the point (0,4). Enter them as a comma-separated list. y = 1 2 3 4 5 6 Find the slopes of the tangent lines at the point (0,4). y = Write the equations of the tangent lines. List the line with negative slope first.

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 35E
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The parametric curve defined by [x = 4t - π · sin(2t) ly = 4 - π· cos(2t) is shown. The curve intersects itself at the point (0,4).

-6 -5 -4 -3 -2 -1 = 9- 8 7 6 5 y = 4 The parametric curve defined by [x = 4t π sin(2t) 4- π.cos(2t) y = + 5 6 is shown above. The curve intersects itself at the point (0,4). Find the two distinct values of t that correspond to the point (0,4). Enter them as a comma-separated list. Find the slopes of the tangent lines at the point (0,4). Write the equations of the tangent lines. List the line with negative slope first.
Transcribed Image Text:-6 -5 -4 -3 -2 -1 = 9- 8 7 6 5 y = 4 The parametric curve defined by [x = 4t π sin(2t) 4- π.cos(2t) y = + 5 6 is shown above. The curve intersects itself at the point (0,4). Find the two distinct values of t that correspond to the point (0,4). Enter them as a comma-separated list. Find the slopes of the tangent lines at the point (0,4). Write the equations of the tangent lines. List the line with negative slope first.
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