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(Solved): For the function f(x,y)=-e^3x sin(y) find a unit tangent vector to the level curve at the point (4,- ...



For the function f(x,y)=-e^3x sin(y) find a unit tangent vector to the level curve at the point (4,-2) that has a positive component. Present your answer with three decimal places of accuracy.



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Let the unit tangent vector to the level curve be,
  

substituting the level curve equation
  
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