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1585One-Sided Diagonal Repair 5For what smallest u does the quadratic form (1+u)x 2 + 4xy + 5y 2 stay nonnegative for all (x,y)?数学困难derivation未尝试面试订阅1586Eliminate One Coordinate of a Quadratic 1Consider q(x,y) = 4x 2 + 6xy + 5y 2. If y is chosen optimally for each fixed x, what coefficient multiplies x 2 in the reduced one-variable penalty?数学简单derivation未尝试免费1587Eliminate One Coordinate of a Quadratic 2Consider q(x,y) = 7x 2 + -4xy + 3y 2. If y is chosen optimally for each fixed x, what coefficient multiplies x 2 in the reduced one-variable penalty?数学简单数值题未尝试免费1589Pick the Residual Variance in a Schur Reduction 4A coupled penalty is q(x,y) = 10x 2 + 12xy + cy 2. After optimizing out y, the desk wants the remaining x 2 coefficient to be exactly 6. What value of c is required?数学困难数值题未尝试面试订阅1590Cross-Term Budget After Eliminating One Coordinate 5For q(x,y) = 5x 2 + 2bxy + 4y 2, what is the largest absolute value |b| such that, after optimizing out y, the remaining x 2 coefficient is at least 3.75?数学困难derivation未尝试面试订阅