consider the curve represented by the parametric equations: x=2t-10*sin((pi/6)*t), y=t. (a) Sketch the curve by making a table of values for -5t5 (b) Find an equation of the tangent line to the curve at the point corresponding to t=-3 (c) Find all values of the parameter (t) for which the curve has a horizontal tangent line. You may approximate your t values to two decimal places. Only consider  -5 is less than or equal ,t is less than or equal 5 for this question. (d) Find all values of the parameter (t) for which the curve has a vertical tangent line. You may approximate your t values to two decimal places. Only consider  -5

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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consider the curve represented by the parametric equations: x=2t-10*sin((pi/6)*t), y=t. (a) Sketch the curve by making a table of values for -5t5 (b) Find an equation of the tangent line to the curve at the point corresponding to t=-3 (c) Find all values of the parameter (t) for which the curve has a horizontal tangent line. You may approximate your t values to two decimal places. Only consider  -5 is less than or equal ,t is less than or equal 5 for this question. (d) Find all values of the parameter (t) for which the curve has a vertical tangent line. You may approximate your t values to two decimal places. Only consider  -5
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