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Solution: Do analytically and exactly showing all steps. A parametric curve is given by equations x=t^2-1 \text and y=36 sin ^-1(t/2) Find the slope m

Question: Do analytically and exactly showing all steps.

A parametric curve is given by equations

\[x=t^{2}-1 \text { and } y=36 \sin ^{-1}\left(\frac{t}{2}\right)\]

Find the slope \(m\) of the tangent line at the point with coordinates \((0,6 \pi)\). Enter your answer below accurate to 3 decimal places.

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Solution: The downloadable solution consists of 1 pages
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