Question: defined by we consider the the path P of the parametric curve r : R so P = range(r) and the set r(t) =

$(b) Assuming ( y eq 0 ), rearrange the equation for ( C ) into the form ( u^{2}+y^{2}=1 ) where ( u ) is expressed$ (c) In (b), you showed that ( (u, y) ) is in the unit circle. Use this to complete the proof that ( C subseteq P )

defined by we consider the the path P of the parametric curve r : R so P = range(r) and the set r(t) = 2 cos(t) sin(t)i + sin(t)j C = {(x, y) = R | x + 4y6 = 4y}. you proved that PCC. Here prove that CC P, completing the proof that P = C. (a) Find the x intercept of C (there is only one) and explain why it is in P. R (b) Assuming y 0, rearrange the equation for C into the form u + y = 1 where u is expressed in terms of x and y. You should give a formula for u. (c) In (b), you showed that (u, y) is in the unit circle. Use this to complete the proof that CC P.

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