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Question: A curve C is defined by parametric equations n x=2sin(2t) and y=1+sin(t) I’m studying for an ex…

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A curve C is defined by parametric equations n x=2sin(2t) and
y=1+sin(t)
Question: A curve C is defined by parametric equations n x=2sin(2t) andy=1+sin(t)I’m studying for an ex...
I’m studying for an exam and I am stuck on this parametric
problem. Thanks in advance!!

Show transcribed image text 1. A curve C is defined by pararnetric equation x = 2 sin(2t), y = 1 + sint, 0 t T. (a) Show that C has two tangents at the point (0,1 (b) Find points on C where the tangent is horizontal or vertical (c) Sketch the curve and indicate with an arrow the direction of increasing t.

1. A curve C is defined by pararnetric equation x = 2 sin(2t), y = 1 + sint, 0 t T. (a) Show that C has two tangents at the point (0,1 (b) Find points on C where the tangent is horizontal or vertical (c) Sketch the curve and indicate with an arrow the direction of increasing t.

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