Question: A bug is moving down the plane z = y 2x + 2. It starts at x = 1 and finishes at x = 1,

A bug is moving down the plane z = y 2x + 2. It starts at x = 1 and finishes at x = 1, and the projection of the bug's path on the xy-plane follows the parabola y = 1 x 2 . Note: z is the vertical axis for all slope calculations. At what (x, y, z) point is the slope of the bug's path the steepest (greatest negative slope), and what is the slope at that point? Construct a 3D parametric form of the tangent line to the bug's path at this point

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