(a) The curve C is defined by the equation 4x²9y²8x18y +31 = 0. What type of conic section is C? Find (where these exist) its centre, eccentricity, foci, asymptotes and axis intercepts. Sketch C.

A point A is graphed at (0, 3). Complete the coordinates of a shape that can be rotated about the y-axis to create a cylinder. Provide an explanation for your answer.

Thus, we can represent the points of the unit circle using parametric equations. The standard way to do this is for the circle is to represent each point on it by x = and y = (a) Sketch the curve described by the equations x = 2 – 3t, y = 1 + t. Then find a Cartesian equation of the curve. (b) Voting Question: Find a parametric representation for the curve y = x². Circle your answer. (a) x(t) =t and y(t) = t² (b) x(t) =-t and y(t) = t² (c) x(t) = 1 – t and y(t) = 1 – 2t +t? (d) more than one of the above (e) all of the above (c) Find a Cartesian equation of the curve x = V1+ t, y = \t – 1. Sketch the curve, indicate with an arrow the direction in which the curve is traced as the parameter and %3D | increases.