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Find and identify the traces of the quadric surface x2 + y2 − z2 = 36 given the plane. x = k Find the trace. Incorrect: Your answer is incorrect. Identify the trace. circle ellipse hyperbola parabola y = k

Find and identify the traces of the quadric surface x2 + y2 − z2 = 36 given the plane. x = k Find the trace. Incorrect: Your answer is incorrect. Identify the trace. circle ellipse hyperbola parabola y = k

Answer:Hyperbola.Step-by-step explanation:We start from the function:We may get the traces if we cut the surface in planes x=k. This is equivalent to replace x for k:The last equation is the equation of an hyperbola, which varies its characteristics depending on K (the plane cut)....

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