Please give right answer consider the curve represented by theparametric equations: x=2t-10*sin((pi/6)*t), y=t.(a) Sketch the curve by making a table of valuesfor -5t5(b) Find an equation of the tangent line to thecurve at the point corresponding to t=-3(c) Find all values of the parameter (t) for whichthe curve has a horizontal tangent line. You mayapproximate your t values to two decimal places.Only consider -55 for this question.(d) Find all values of the parameter (t) for whichthe curve has a vertical tangent line. You mayapproximate your t values to two decimal places.Only consider -5t5 for this question.VIVIVI

Here, we are going to solve only 1st two subparts and for the remaining parts please post the…

Answered: consider the curve represented by the…

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 -5

consider the curve represented by the parametric equations: x=2t-10sin((pi/6)t), y=t. (a) Sketch the curve by making a table of values for -5