Given this pair of parametric equations and interval for t, x=t+sint, y=cos(2t), 0 ≤t ≤2(A) write out the first derivative in simplified form. (B) at what values of t does the graph have a horizontal line? (C) what are the ordered pairs at the horizontal tangent lines? Given this pair of parametric equations and intervalfor t,X = t + sint , y = cos(2t), 0sts2 tFirst, use a graphing app (such as Desmos.com) toview the graph of this pair of parametric equations.(Just view the graph; do not try to include it in youranswer.)Second, answer the following:a) Use the equation editor to write out the firstderivative in simplified form.Horizontal Tangent Line(b) At what values of t does the graph have ahorizontal tangent line?(c) What are the ordered pairs at these horizontaltangent lines?

Name: Given this pair of parametric equations and interval for t, x=t+sint,
Uploaded: 2024-03-20T06:47:22.000Z
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Description: Given this pair of parametric equations and interval for t, x=t+sint, y=cos(2t), 0 ≤t ≤2(A) write out the first derivative in simplified form. (B) at what values of t does the graph have a horizontal line? (C) what are the ordered pairs at the horizo

The parametric equations are x=t+sint, y=cos2t and t∈0,2π.

Math

Calculus

Given this pair of parametric equations and interval for t, x=t+sint, y=cos(2t), 0 ≤t ≤2 (A) write out the first derivative in simplified form. (B) at what values of t does the graph have a horizontal line? (C) what are the ordered pairs at the horizontal tangent lines?