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3. [-/2 Points] DETAILS SCALCET7 10.1.015. Consider the following. xze4, y=t+ 3 (a) Eliminate the parameter to find a Cartesian equation of the curve. (b) Sketch the curve and indicate with an arrow the direction in which the curve is traced as the parameter increases. 6 6- 5 54. [0/2 Points] DETAILS PREVIOUS ANSWERS SCALCET8 10.1.033. MY NOTES ASK YOUR TEACHER PRACTICE ANOT Find parametric equations for the path of a particle that moves along the circle x2 + (y - 3)2 = 16 in the manner described. (Enter your answer as a comma-separated list of equations. Let x and y be in terms of t.) (a) Once around clockwise, starting at (4, 3). 0 s t s 21. x = 4 cos(t), y =3 + 4 sin(t) X (b) Three times around counterclockwise, starting at (4, 3). 0 s t s 6n. 4 cos ( t) , 3 - 4 sin(t) X (c) Halfway around counterclockwise, starting at (0, 7). 0 s t s 1. x = -4 cos(t), y = 3 + 4 sin(t) X Enhanced Feedback Please try again, keeping in mind that the parametric equations for a circle centered at (h, k) are x = h + r cos(t) and y = k + rsin(t) when 0 s t s 21. Need Help? Read It Watch It Show My Work (Optional)?5. [-/2 Points] DETAILS SCALCET8 10.1.JIT.004. Make a table of values for the equation. y = X- - 4 -4 -3 -2 -1 0 N P 3 4 Sketch the graph of the equation