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A conic section is given by the equation 4x2 + 10xy + 4y2 = 36. Use...

A conic section is given by the equation 4x2 + 10xy + 4y2 = 36.
Use rotation of coordinate axes through an appropriate acute angle θ to find the new equation of the conic section in the uv-coordinate axes , where x = u cos(θ) - v sin(θ) , y = u sin(θ) + v cos(θ). Then identify the conic section.

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