Calaclus

Consider the general quadratic equation v3xy -y-1= 0. Because of the presence of the xy term, we showed in class that the graph of this equation is a conic section rotated by the A-C angle 0 where cot (20) B Through what angle in radians has this conic been rotated? Give your answer in terms of pi: We also showed in class that we can represent this equation in a rotated uv coordinate system using the equations x = u cos(0) - usin(0) and y = usin(0) + u cos(0) Use your angle 0 to write x and y in terms of u and v: X Now, substitute these expressions into the original equation to produce a new equation in u and v: Finally, identify the conic: Parabola Hyperbola O Ellipse