If g(x, y) = x 2 + y 2 - 4x, find the gradient vector g(1, 2)
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If g(x, y) = x2 + y2 - 4x, find the gradient vector ∇g(1, 2) and use it to find the tangent line to the level curve g(x, y) = 1 at the point (1, 2). Sketch the level curve, the tangent line, and the gradient vector.
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