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  3. consider the parametric curve given by the equatio

Consider the parametric curve given by the equations x = tsin(t) and y = tcos(t) for...

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Question

Basic Math

Consider the parametric curve given by the equations

x = tsin(t) and y = tcos(t) for 0 ≤ t ≤ 1

Find the slope of a tangent line to this curve when t = 1.

Find the arclength of this curve (make sure to do it byintegration by parts if you find yourself integrating powers ofsec(θ))

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