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Consider the following. Find the point (x, y) where f(x, y) has a possible relat

ID: 3284436 • Letter: C

Question

Consider the following. Find the point (x, y) where f(x, y) has a possible relative maximum or minimum. Then use the second-derivative test to determine, if possible, the nature of f(x, y) at this point. If the second-derivative test is inconclusive, so state. Consider the following. Find the point (x, y) where f(x, y) has a possible relative maximum or minimum. Then use the second-derivative test to determine, if possible, the nature of f(x, y) at this point. If the second-derivative test is inconclusive, so state.

Explanation / Answer

min =0 at (0,0) min = 347/7 at (1/7, 19/7) min{5 x^2-2 x y+3 y^2+4 x-16 y+71} = 347/7 at (x, y) = (1/7, 19/7)