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Find the tangent line to the level curve g(x,y)=31 at the point?

User Ionizer
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Final answer:

To find the tangent line to the level curve g(x,y)=31 at a given point, we need to find the slope of the tangent line at that point. The slope of a curve at a point is equal to the slope of a straight line tangent to the curve at that point.

Step-by-step explanation:

To find the tangent line to the level curve g(x,y)=31 at a given point, we need to find the slope of the tangent line at that point. The slope of a curve at a point is equal to the slope of a straight line tangent to the curve at that point.

Step-by-step solution:

  1. Determine the point on the curve where you want to find the tangent line.
  2. Calculate the slope of the tangent line at that point by finding the derivative of the curve with respect to the variable in question.
  3. Use the point-slope form of a line to write the equation of the tangent line.

User Jan Matousek
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