MathJax(?): Can't find handler for document MathJax(?): Can't find handler for document I&#39;m having trouble finding out the first step to this problem.So far all I have is:

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mravinjakag

Answered question

2022-06-19

MathJax(?): Can't find handler for document MathJax(?): Can't find handler for document I'm having trouble finding out the first step to this problem.
So far all I have is:

\begin{aligned} x (t) & = 6 \cos (t) + 6 \\ y (t) & = 6 \sin (t) \end{aligned}

Find parametric equations for the arc of a circle of radius 6 from

P = (0, 0)

Q = (12, 0)

\begin{aligned} x (t) & =___ \\ y (t) & =___ \\ ___< & t <___ \end{aligned}

Answer & Explanation

Haggar72

Beginner2022-06-20Added 25 answers

You already almost completed the problem. The only other question is what values of t should we use. The starting point is given as (12,0), which corresponds to

t = 0

t = 2 π

in your equation. The ending point is given as (0,0), which corresponds to

t = π

in your equation. Thus, if we restrict ourselves to

0 < t < 2 π

, the answer could either be

0 < t < π

π < t < 2 π

, depending on if you want the top or bottom arc of the circle.

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