P be the tangent plane to the graph of g(x, y) = 16 - 8x² - 16y² at the point (4,2,-176). Let f(x, y) = 16 - x² - y². Find point on the graph of f where the tangent plane is parallel to P. symbolic notation and fractions where needed. Give your answer in the form (*,*,*)).

Advanced Engineering Mathematics
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Let P be the tangent plane to the graph of g(x, y) = 16 – 8x² – 16y² at the point (4,2,-176). Let f(x, y) = 16 – x² − y². Find
the
point on the graph of f where the tangent plane is parallel to P.
(Use symbolic notation and fractions where needed. Give your answer in the form (*,*,*)).
Transcribed Image Text:Let P be the tangent plane to the graph of g(x, y) = 16 – 8x² – 16y² at the point (4,2,-176). Let f(x, y) = 16 – x² − y². Find the point on the graph of f where the tangent plane is parallel to P. (Use symbolic notation and fractions where needed. Give your answer in the form (*,*,*)).
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