3. The curve C is defined by the equation: 16x² - y² +64x - 2y +47 = 0. (a) What type of conic is C? (b) Find the eccentricity of C. (c) Find (if they exist), the centre, foci, asymptotes and axis intercepts of C. (d) Give a sketch of C including all of the above (if they exist).

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