PLEASE HELP8.08, part 211. Find an equation in standard form for the hyperbola with vertices at (0, ±6) and foci at (0, ±9). A) y squared over 45 minus x squared over 36 = 1 B) y squared over 81 minus x squared over 36 = 1 C) y squared over 36 minus x squared over 81 = 1 D) y squared over 36 minus x squared over 45 = 112. Find an equation in standard form for the hyperbola with vertices at (0, ±4) and asymptotes at y = ± 1 divided by 4. x. A) y squared over 16 minus x squared over 64 = 1 B) y squared over 16 minus x squared over 256 = 1 C) y squared over 256 minus x squared over 16 = 1 D) y squared over 64 minus x squared over 4 = 113. Eliminate the parameter.x = t - 3, y = t2 + 5 A) y = x2 + 6x + 14 B) y = x2 - 14 C) y = x2 - 6x - 14 D) y = x2 + 1414. Find the rectangular coordinates of the point with the polar coordinates. ordered pair 3 comma 2 pi divided by 3 A) ordered pair negative 3 divided by 2 comma 3 square root 3 divided by 2 B) ordered pair 3 square root 3 divided by 2 comma negative 3 divided by 2 C) ordered pair negative 3 divided by 2 comma 3 divided by 2 D) ordered pair 3 divided by 2 comma negative 3 divided by 215. Find all polar coordinates of point P where P = negative pi divided by 6 . A) (1, negative pi divided by 6 + (2n + 1)π) or (-1, negative pi divided by 6 + 2nπ) B) (1, negative pi divided by 6 + 2nπ) or (-1, negative pi divided by 6 + 2nπ) C) (1, negative pi divided by 6 + 2nπ) or (1, pi divided by 6 + (2n + 1)π) D) (1, negative pi divided by 6 + 2nπ) or (-1, negative pi divided by 6 + (2n + 1)π)16. Determine two pairs of polar coordinates for the point (4, 4) with 0° ≤ θ < 360°. A) (4 square root 2 , 135°), (-4 square root 2 , 315°) B) (4 square root 2 , 45°), (-4 square root 2 , 225°) C) (4 square root 2 , 315°), (-4 square root 2 , 135°) D) (4 square root 2 , 225°), (-4 square root 2 , 45°)17. The graph of a limacon curve is given. Without using your graphing calculator, determine which equation is correct for the graph.a circular graph with an inner loop on the left[-5, 5] by [-5, 5] (5 points) A) r = 3 + 2 cos θ B) r = 2 + 3 cos θ C) r = 2 + 2 cos θ D) r = 4 + cos θ18. Determine if the graph is symmetric about the x-axis, the y-axis, or the origin.r = -2 + 3 cos θ A) No symmetry B) y-axis only C) x-axis only D) Origin only19. A railroad tunnel is shaped like a semiellipse, as shown below.A semiellipse is shown on the coordinate plane with vertices on the x axis and one point of intersection with the positive y axis.The height of the tunnel at the center is 54 ft, and the vertical clearance must be 18 ft at a point 8 ft from the center. Find an equation for the ellipse. 20. Determine if the graph is symmetric about the x-axis, the y-axis, or the origin.r = 2 cos 3θ