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Section 14.6: Directional Derivatives & Gradient Vector

Exercise 64

  1. The plane \(y + z = 3\) intersects the cylinder \(x^2 + y^2 = 5\) in an ellipse. Find parametric equations for the tangent line to this ellipse at the point \((1, 2, 1)\).
  2. Graph the cylinder, the plane, and the tangent line on the same screen.