Question

Let surface P containing (0, 0, 0) be the graph of the two variable function g...

Let surface P containing (0, 0, 0) be the graph of the two variable function g with domain R^2 (all real numbers squared). Suppose the slopes of the tangent lines of curves obtained by intersecting P with the xz−plane and yz− plane at the point (0, 0, 0) are 1 and 2 respectively. Write (with explanation) the equation of the tangent plane to P at (0, 0, 0). This is all the information given for the question.

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