Matching curves and equations Match the following four equations with the four graphs in the accompanying figure. Explain your reasoning.a. x = t2 ? 2, y = t3 ? t(A) b. x = cos (t + sin 50t), y = sin (t + cos 50t)(B) c. x = t + cos 2t, y = t ? sin 4t(C) d. x = 2 cos t + cos 20t, y = 2 sin t + sin 20t(D)

Solution 56Matching curves and equations Match the following four equations with the four graphs in the accompanying figure. Explain your reasoning.a. x = Curve (D) matching to this equation(D) b. x = cos (t + sin 50t), y = sin (t + cos 50t)Curve (B) matching to this equation c. x = t + cos 2t, y = t sin 4tCurve (A) matching to this equation d. x = 2 cos t + cos 20t, y = 2 sin t + sin 20tCurve (C) matching to this equation