Consider the function f(x,y) = (e^x) cos(y). Suppose S is the surface z = f(x,y). (a) Find a vector…

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Consider the function f(x,y) = (e^x) cos(y). Suppose S is the surface z = f(x,y). (a) Find a vector which is perpendicular to the level curve of f through the point (3,6) in the direction in which f decreases most rapidly: vector (e^3-1)cos(6)i-(e^3-3)sin(6)j (b) Suppose U = 6i + 8j + ak is a vector in 3-space which is tangent to the surface S at the point P lying on the surface above (3,6). What is a? 89.79536

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#MasteringPartialDerivatives:EssentialTechniquesandTips
  1. Ollie Hart
  2. Mastering Partial Derivatives: Essential Techniques and Tips
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