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2. Which points are on the plane curve described by the following set of parametric equations? Select all that apply. x = 2t + 5
2. Which points are on the plane curve described by the following set of parametric equations? Select all that apply. x = 2t + 5 and y = 32 (2 points) O (17) (2,9) O ( 3,-3) O ( 3, 3) O (7, 3)Consider the Cartesian equation of an ellipse, y = 48. 1_ , versus the parametric equations 49 of the same ellipse: x = 7 cost y = 8 sin t. What are the advantages of the parametric equations? Select all that apply. (3 points) The parametric equations describe a three-dimensional figure. The parametric equations are easier to enter into a calculator for graphing. The parametric equations have a finite domain. The parametric equations show the direction in which the ellipse is drawn. OFor a given value of the independent variable, the parametric equations yield exactly one point on the graph.13. Identify the parametric equations that represent the same graph as the following parametric equations. Select all that apply. x = 4t y=12 -1 (2 points) Ox = 3t y = - Ox = 2t y = - -1 4 Ox = 8t y =412 -1 Ox =3t y = 9t2 -1 Ox = 8t 1 215. Which statement describes the graph and orientation of the parametric equations x = 16 cost and y = 16 sin t? (1 point) OThe graph is a circle with a radius of 4. The orientation is counterclockwise as t increases. The graph is a circle with a radius of 16. The orientation is counterclockwise as t increases. OThe graph is a circle with a radius of 4. The orientation is clockwise as t increases. OThe graph is a circle with a radius of 16. The orientation is clockwise as t increases. 16. Which is the parametric form of the polar equation r = -40? (1 point) Ox = 40 cos 0 y = 40 sin 0 *= 4cos 8 y = -4 sin 8 x = -40cos 8 y = -40 sin 8 x = - cos 8 O y =-0 sin 817. Which is the polar form of the parametric equations x = 2 cos 0 and y = 2 sin ? (1 point) Or = 2 Or =20 Or = 4 cos 0 sin 0 Or = 4cos2 8+4sin2 05- t = 3.14 1 =0 -5 5 -5- Use the graph to answer the question. 21. Which set of parametric equations represents the graph of the function shown? (1 point) Ox = 4 cos t and y - 7 sin t Ox = 4 sin t and y = 7 cost Ox = 2 cos t and y - 3.5 sin t Ox = 8 cos t and y = 14 sin t
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