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    Gradient Vector and Tangentl Line

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    If g(x,y)= x-y^2, find the gradient vector (3,-1) and use it to find the tangent line to the level curve g(x,y)= 2 at the point (3,-1). Sketch the level curve, the tangent line, and the gradient vector.

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    Solution Summary

    This provides an example of finding gradient vector and using it to find tangent line.