defined by we consider the the path P of the parametric curve r : R so...

 

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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) sin²(t)i + sin(t)j C = {(x, y) = R² | x² + 4y6 = 4y¹}. 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. → R² (b) Assuming y ‡ 0, rearrange the equation for C into the form u² + y² = 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. 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) sin²(t)i + sin(t)j C = {(x, y) = R² | x² + 4y6 = 4y¹}. 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. → R² (b) Assuming y ‡ 0, rearrange the equation for C into the form u² + y² = 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.