Use a graphing device as in Example 4 (or Newtons method or solve numerically using a calculator
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Use a graphing device as in Example 4 (or Newton’s method or solve numerically using a calculator or computer) to find the critical points of f correct to three decimal places. Then classify the critical points and find the highest or lowest points on the graph, if any.
f(x, y) = x4 + y4 - 4x2y + 2y
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x y x y 4xy 2y fx y 4x 8xy and fyx y 4y 4x 2 f 0 4xx 2y 0 so x 0 or x 2y If x0 then sub...View the full answer
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