Consider the equation 9x - 4y + 36z 18x + 16y + 72z = -29. i)...

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Consider the equation 9x - 4y + 36z 18x + 16y + 72z = -29. i) Rearrange the equation into the standard form of a quadric surface. Identify and sketch the surface, using axes x', y', z' which pass through the geometric centre (xo, yo, zo) and are parallel to the standard x, y, z axes. ii) Parametrically define the cross-sections at z = 1. Consider the equation 9x - 4y + 36z 18x + 16y + 72z = -29. i) Rearrange the equation into the standard form of a quadric surface. Identify and sketch the surface, using axes x', y', z' which pass through the geometric centre (xo, yo, zo) and are parallel to the standard x, y, z axes. ii) Parametrically define the cross-sections at z = 1.