Now consider the curve with equation

(3/5)x^2 + (12/5) x + y^2 − 2y − 58/

5 = 0.

(i) Show that this curve is a conic that can be obtained from the

conic in part (a) by translation, and describe the translation

required. [5]

(ii) Use your answers to part (a) to sketch this conic, showing its

centre, vertices and axes of symmetry, and the slopes of any

asymptotes. You should give the exact values of the numbers

involved. [4]

(c) (i) Write down parametric equations for the conics in parts (a)

and (b). [2]

In part (c)(ii) you should provide a printout showing your plot.

(ii) Use the parametric equations in part (c)(i) to plot both conics on

the same diagram, using Mathcad. (You may find it useful to

start from Mathcad file 221A2-01.)

Subject | Mathematics |

Due By (Pacific Time) | 03/19/2014 12:00 pm |

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