Consider the limaçon y(t) = ((1+3 cos t) cost, (1 +3 cost) sin t). (i) Compute A(Y) = f(xy-yx)dt, (ii) Determine the osculating circle C at (4,0), (iii) Show that y lies entirely inside C,

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A: setting z=0 and solving for x and y. similarly setting y=0 and solving for x and z.

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Q: Encuentre TLt), NCt) B (t) de cLE) = ( cost , sent, t)

A: We will use the respective definitions.