Consider the cardioid 7 (t) = = (cost(1 sin t), sin t(1 - sint)) Y (a)...

  

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Consider the cardioid 7 (t) = = (cost(1 sin t), sin t(1 - sint)) Y (a) Find the area. Hint: use Green's Theorem with F = (0,x). (b) Find the arc length. Hint: 1 sint = 1-sint1+sin t 1+sin t cos t 1+sint for 0t 2. X Consider the cardioid 7 (t) = = (cost(1 sin t), sin t(1 - sint)) Y (a) Find the area. Hint: use Green's Theorem with F = (0,x). (b) Find the arc length. Hint: 1 sint = 1-sint1+sin t 1+sin t cos t 1+sint for 0t 2. X